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NASA T E C H N I C A L NASA TM X" 68278M E M O R A N D U M
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CASE FILECOPY
COMPUTER PROGRAMS FOR CALCULATING POTENTIAL
FLOW IN PROPULSION SYSTEM INLETS
by Norbert O. Stockman and Susan L. ButtonLewis Research CenterCleveland, Ohio 44135
https://ntrs.nasa.gov/search.jsp?R=19730020450 2018-04-07T02:29:44+00:00Z
This information is "being published in prelimi-nary form in order to expedite its' early release.
CONTENTS
INTRODUCTION . . . , = , . . 1o
DESCRIPTION OF 'PROGRAMS 1SCIRCL . 1EOD •. ' 2COMBYN 3.
DESCRIPTION OF INPUT AND OUTPUT . .... 4SCIRCL INPUT 4SCIRCL OUTPUT . . . . . . . ... 7COMBYN INPUT • 9COMBYN OUTPUT 13
LISTINGS OF PROGRAMS 20SCIRCL ...... 21EOD 59COMBYN 114
LISTING OF INPUT CARDS FOR TEST CASE 143SCIRCL ' . 144
• EOD . . . . . . 144COMBYN - „ 145
PRINTED OUTPUT FOR TEST CASE 146SCIRCL , 147EOD 153COMBYN 187
REFERENCES . . . .' . ... . . .... . . .' . . . . . . ' 217
FIGURES " . . ' . . . ' 218
COMPUTER PROGRAMS FOR 'CALOTIATiNG POTENTIALFLOW IN PROPULSION SYSTEM INLETS
' ' by ' .CD '
in Norbert 00 Stockman and Susan L. Button
INTRODUCTION
In' the course of designing inlets at the Lewis Research Center,.particularlyfor VTOL and STOL propulsion systems, a calculational procedure utilizingthree computer programs evolved (refs. 1-3). The chief program'is the Douglasaxisymmetric potential flow program called EOD which calculates the incom-pressible potential flow about arbitrary axisymmetric bodies. "; The other twoprograms., original with Lewis, are called SCIRCL and'COMBYN, Program SCIRCLgenerates input for EOD from various specified analytic shapes for the inletcomponents. Program COMBYN takes basic solutions output by EOD-and combinesthem into solutions of interest, and applies a compressibility correction.
These programs are still in a state of development and users' manuals for themare not yet available. However, in the interests of making the programs avail-able immediately, it was.decided to publish the current, versions in the "QuickRelease" form with a.minimum of write-up.• First a brief summary of what eachof the three programs does together with references to pertinent literaturewill b.e given. This is followed by a description of .the input and output ofprograms' SCIRCL and COMBYN. .Next, listings of all three programs are given.Finally, a test case for checking-out the programs is presented.
It should be noted that" programs SCIRCL and COMBYN we're originally writtenfor VTOL inlets and some of the input and output parameters are VTOL oriented.
DESCRIPTION OF PROGRAMS
SCIRCL
The -purpose of this program is to supply accurate input to the potential flow •program. To this end; the inlet surfaces (e.g., hub and shroud) are dividedinto segments each of which is a portion of an analytical curve as illustratedin figure 1. The curves available are listed in the description of- SCIRCLinput. SCIRCL distributes points along the inlet surfaces in such a way as tomeet the requirements of program EOD0 The coordinates of these points a,repunched on cards for direct input to EOD along with other information required
by EOD. In addition, SCIRCL outputs printed information about the inlet sur-faces (coordinates, curvature, slope, etc.).
In addition to the surface points, .sets of points spanning the passage,_likeflow measuring rakes, are needed at axial locations where velocity profilesor streamlines are desired„ At least one "rake" must be specified for useas a control station„ (The function of the control station is given underCOMBYNo) Program SCIRCL generates the coordinates of the rake points andpunches them on cards for input to EOD.
EOD . .
This is the Douglas incompressible potential flow computer program for axisym-metric bodies. Only the bodies must be axisymmetric; the flow itself need notbe. The details of the Douglas method are covered extensively in referencesk to 6; the highlights will be outlined herein.
1, Bodies are represented by a distribution of sources and sinks ofinitially unknown strengths,
2. An integral"equation in the unknown source strength is derived fromthe potential'flow equations and boundary conditions,,
3« The integral equation is appproximated by a set of linear algebraicequations corresponding to discrete points on the bodies„
' k. These equations are solved for the source strength by matrix methods.'
5. Velocities are calculated on the surface.and at other points of in--terest (such as rake points) in the flow field from the source distributionobtained in stepk, . ~ . • ' • . . " . . .
The program was originally written for closed bodies in a free stream. Toapply the method to inlets, the inlets are idealized by adding artificialextensions to the inlet surfaces as shown in figures 2 and 3« The method ofidealizing conventional inlets is given in reference 7 and that for lift fanor lift engine inlets in reference 2. .
The Douglas program is used to obtain three basic solutions for the idealizedinlet profile and certain free-stream conditions„ The basic solutions areones (e.g., as shown in fig. k) that provide a convenient basis for generatingthe combined solutions that represent flow conditions of interest. The threebasic solutions and the method of combining them are discussed in reference 2.Program EOD has been modified to output the basic solutions on punched cardsfor input to program COMBYN. No further description of EOD input or outputwill be given, • ' ' ' '
2 • • '
COMBYW . •
This program combines the basic solutions from EOD into any number of solutionsof interest, A solution of interest or combined solution is one having speci-fied values of free stream velocity ' Va, and direction oC and control sta-tion velocity Vc (as shown -in fig.. 5 for a VTOL inlet). As an alternativeto Vc, the inlet weight flow w may be specified, in which case the programwill convert w to Vc. .Temperature and pressure must also be specified ifother than standard conditions are desired. These and other COMBYW inputs aredescribed later. (Note that 'CGMBYN requires oC_p rather than c<~ where
-90.) . • ' ' • ' • , . _ . ' .
The method of combination of the basic solutions is essentially that given inreference 2 and is summarized in ..f igure 5« The only major difference is in.the compressibility correction. The current version of COMBYN uses the com-pressibility correction method of reference 8. This method is referred to 'inthe CQMBYN program listing as Approach 5 .compressibility. .- :
One of the. "rakes" mentioned under SCIRCL. is .used as a- control station by ':COMBYN. The control station -is the rake at. which the average inlet axial ve-locity Vc of the ••combined solution is specified. If 'there are several rakesany one may be used as the control station. -It should be noted, however, thatthe -solution is most accurate in : the 'vicinity of the -control station. Theinaccuracies, which often.-, are not significant, arise from the method of 'calcu-lating the basic solution 'for inlets and from the compressibility correctionwhich does not exactly satisfy continuity.
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LISTINGS .OF PROGRAMS
20
SCIRCL
MBFTC SCIRCL
C PREPARE INFLT DATA FCR DOUGLAS POTENTIAL FLOW PRCGRAvs EOD AND 2?YCC SECCNC VERSICN - SPACING SPECIFIEDC
o sctsoo), sisoo), NY(25)/ < U P F / IFLD !
CCNKCN /MINX -X INUO) ,YIN< 1Q ) , D E L S K X , P IC2 , DELS1 , IHUB/ « S / N B D Y l , N B C D Y 2 , T Y P P D Y , N B n Y S/H.RTE/ IFLAG.NDYA.PRCG, T ITLED) .enciF.sm, IDTNT, Y L O ( 2 5 ) ,YH
11(25), ND> (25) ,XRAK( 25),NBDPTS( 5) ,NC6,N RAKESCCKKCN /FCR3SS/ I ,DEL S, XBK ( 2C ) , YRK (20 ) ,XCN ( 5CO ) , YON ( -5 00 ) , DYDXO ( 5 ''0
1 ) .ALPHA (5CC) ,CAPP A (SCO) ,SON (500 ) ,P 10180/5PREP/ KPREP/KNSD/' NNSDfNSDBDY(lO)/(VHIGH/ NSPHG,NLAST,XLAST(5uO),YLAST(5(iO)
PICl'60=PI/ieO.. , PIC2=PI/2.
r 'C WHEN N06 = 1, A FLAG IN CARD COLUMN 6 IS PUNCHED FOP. 500C ONLY RASIC DATA KILL BE GIVEN IN 50C; PRCGRAMC2 READ <5,-£4) TITLE
R E A C ( 5 » e 2 ) IDENT,PRCG,N06 :,VRI1E ( 6 , S 4 ) I DENT
C • - • . . •C REAC INPIT CARDS FOR SUPERCIRCLFC 1 — CASE HEADER CARD — NO. PF BODIES, CASE NO. , DELS , DELSMXC GFF-BOD1C ' 2 — NRAKES = NUMBER OF RAKES (TCTAL NUMBER CANNOT EXCEED ? 5C 2 — X,YLO,YHI, NY (DATA FOR EACH RAKE)C X = X OF THE RAKE.C YLC = Y CF THE FIRST PT. ON RAKE CLOSEST TO THE HUB - SHOULD BEC ABOUT OS GREATER THAN Y CN HUPC YHI = Y CF THE LAST PT ON RAKE CLOSEST TC THE SHROUD - SHOULD REC ABOUT DS LESS THAN Y ON SHROUCC NY = NC. OF PTS TO GENERATE FOP THAT RAKFC CN-ECDYC FOR EACH SEGMENT A DESCRIPTION CARD IS NEEDED,C THIS CARD CENCTES THE TYPE OF LINE, AND THEC. COCRCINATES CF THE LINE (UP TO 5 SETS)C i '
REAC (5, ICC) ANPCYS,CELS,DELSfX,XRI ,ANNSCREAC (5, EC) NRAKES .. ,R E A C ( 5 , 1 C 4 ) . J X R A K d ) ,YLC( I ) ,YHI (I ) , N Y ( I ) , 1 = 1, N R A K E S )D E P L G ( X R / I K (I ) , Y L C ( I ) ,YHI (I ) , N D Y ( I ) , 1 = 1, N R A K E S )V i R I T E ( 6 , 7 C ) A N B C Y S , C E L S , D E L S N X , X R IDC 4 1 = 1, N R A K E S ,
A NCY( I)=N\ (I )-l .
NLAST=,CNSPHG=CCELS2=OEISDELS1=DEISNBEY"S=ANEDYS
CC K ^ COUNTER FOR THE NUMBER OF ONBOOY POINTS GENERATEDC IHLE = C, fcHEN THERE IS ONLY ONE RGOY — IF THERE IS ONE ROOYC IT MIST BE THE SHROUDC IFLAG = C, IF THERE IS MORE THAN ONE BODYC s '
K-CiHie=oIFLAC=C
C vC NZ LCOP IS FOR THE NUMBER OF BODIESC ' .
CO 2e NZ»1,NBDYS ' 'IF (NZ.GE.2) IHUB=1
CC ?TYFECY = 1 FOR HUB ---- TYPRCY = 2 FOR SHKCURC ORC TYPECY=1 FCR HUB * TYPBDY=2 FOR FLCW SPLITTER * TYPPHY=3 FOR SHROUC ^^^^.J.FLCV SPLITTER PROGRAMMING IS NOT COPLETE THROUCH COMRYN**G ****«FLCV SPLITTER IS NOT THE SftME AS NCISE SUPPRESSION DEVICESC (N.S.C.) SPLITTERS*****C OR'C IF THE HlB IS TO BE MRRCRED , SET TYPBDY FOR THE SHROUD" = 0.0C
READ (5tlC6) TYPPDY.ANSEGNSEG=ANSEG -IF (NBDYS.EG.2.ANO.NZ.EQ.2.AND.TYPPDY.NE.O.O) TYpRDY=3.0IF (NBOYS.EC.1.ANC.TYPBDY.EQ.2.0) IFLAf,= lIF (TYPRCY. EG. 1. ) WRITE (6,120)•IF (TYPBCY.EC.3.G.OR.TYPBDY.EQ.O.O.OR.NRCYS.EG.1) WRITE (6,122)IF (TYPBCY.EQ.O.C) GC TO 24IF (lYPPCY.EQ.Z.O.ANC.NRDYS.GT.l) WRITE (6,l2A>K = M1SCN(K1 =C.C
CC SEGMENT ICGPC
DC 22 J=1,NSEGR E A C (5, I C E ) E N R E E D , < X I N ( I ) , Y I M ( I ) ,1 = 1,5)
C A P P A ( K ) = C . CIF (ENREED.NE. l .C.AN'C.ENREEO.NE. lO. ) GC TO 10• X C N ( K ) = X I N ( 1 ) 5Y C N ( K ) = Y 1 M 1 )V ' R I T E (6,112) E N R E F D , ( X l N i ( I ) ,1 = 1,2 ), ( Y I N ( I ), 1 = 1,2)D E E U G X O N ( K ) , Y O N ( K ) ,T Y P R O Y ,K , ENRE AD ,NSEG, J , ( X IN -( I ) , Y I N1 ( I) , 1= 1 , 5 )IF ( T Y P B C Y . G E . 2 . 2 1 GC TO 8IF (ENREEC.EC. l .C .ANC. J .EG.NSEG) C A L L FNSTRH (K)IF (ENREEC.EG.1.C. .ANC. J.NEiNSEG) C A L L S T R A I T ( K , C . O )IF ( E N R E E D . E Q . 1 C . ) CALL FRSTSH (K)
6 DYCXCIKSX )=DYDXO<KSV+1)ALPHA?(KS\ I=ALPHA(KSV+1)GC TC 22
8 *IF (J.EG.l) CALL FRSTSH (K)IF (J.EG.NSEG) CALL FNSTRH <K)IF (J.NE.l.AND.J.NE.NSEG) CALL STRAIT (K,U.O)GC 1C 6
1C IF (ENREEO.LT.-2.Q) GO TO 20IF (ENREEO.LT.-l.O) GO TC 18IF (ENREEC.LT.C.O) GC TO 16
C ! SET-LP SlPER ELLIPSEC
j K P R £ P = 0! ENRC=ENREEC-10CC.• IF ( E N R O . L T . C . O ) GO TO 12
ENREED=EHREED-1CCO.IFLC=IFLC-UGC TC 14
12 1FLC=01« V R I T E < f c , 1 1 4 ) ENREEC, ( X I N ( I ) ,1 = 1,5), (YlMI ), 1 = 1.5)
C A L L TFSI ( 5 )
K1=KCALL StPERC (XIN,VIN,ENREED,CELS1, ISTART)K=I-1 . . . . : :
>IF ( K P R E F . E Q . O ) GC TC 22CALL P R E t P S (IDUK,1,5,K1,K2)GC TC 22
•CC ^SET-LP LEf,M ;SCATE . . .C16 W R I T E (6 t l l 6 ) ENREED, (XINU ) ,1 = 1,3), (YINd ),! = !. 3)
C A L L L E K ( K )K = K-<1GC TC 22
;cC SET-UP E L L I P S EC . - • • • - . • •16 WRITE (6,118) ENREEO, (XINU ) ,! = !,«), (YINd )» I = li<i)
KPREP=;CCALL TEST (A)N1*KCALL ELIFSE <K)
K2=K-ICL'F-0
. IF (KPREF.EG.O) GC TC 22CALL PREIPS (IDU^,1,A,K1,K2)GC TC 22
C5C SE1-LP CtBICC2C *>RITE ( 6 ,126 ) EIVPEED , ( X I N ( I ) , 1 = 1 ,A ) , ( Y IN ( I ) , 1 = 1 ,
CALL CUBIC (K)K=M1
22 CONTINUECC ENC CF SEGKENT LCGPC • '
GO TC 2624 CALL MIRROR (K.ANSEG)26 NBCPTS(NZ)=K
NBCY1=NBOPTS(1)NBCCY2=N:eDPTS(2)
28 CONTINUECC ENC CF BCCV LOOPC
'ITCP12=KCC **N.5.D. SPLITTER SUBROUTINEC
IF (NNSD.NE.O) CALL SUPRO (K)IF (IFLAG.EC.U NBDY1=0
)
Y t S A V E = Y C N ( N B O O Y 2 )! Y 7 S A V E = Y C N { N B C D Y 2 - H )C E P L G ( X O N ( I ) tYONU ) , C Y D X O ( I ) ,ALPHA( I ) , C A P P A ( I ) ,SON( I ) ,SON( I ) , S O N ( I
l.)fI = l t K )c<;CC CO-CRDIN*TES OF POINTS ON DOWNSTREAM CLOSURECC ' 'C 'STRAIGHT SECTION BETWEEN HUB AND SHRCUD CR SPLITTERCc • •
SIF (NBOYI.EG.O) GC TC 30YNPGV1*YCN (NBOYD-GC TC 32
3C YNBCYlsC .C
3 2 N C V 4 = ( Y C ^ <NBDY1+ ; 1)-YNBDY1)*1 .5 /DELSVX
NPTS=NDY«-HN B C P T S ( N e D V S + l ) = N P T S + N B D P T S ( N B D Y S )CY4= |YOMNEDY1 + 1 J-YNCDYl ) /ENCY4CO 34 I = 1 ,N-PTS
X C M I P N » * X C N ( N B D Y 1 + 1 )Y O N ( I P N )CONTINUEI T C P T 4 * K - » 1
s-IF (NBDYi .LE .2 ) GC TC 38CC
C STRAIGHT SECTION BETWEEN FLCfc SPLITTER AhD SHROUCC •c . . . - • - "
YNPCY2=Y* S4VENCYSMY7«AVE-Y6SAVE) *1 ,5 /DE ISMX
NP1S»NDY«-»1NBCPTS<NeDYS+2)»NPTS«NBDPTS(NBDYS+ l )C Y 5 = ( Y 7 S * V E - Y 6 S A V E I / E N D Y 5DC K I=»1»NPTSAYEfM-1•IPN=I+!MCPT5XCM I P N ) = X C N ( N R O C Y 2 + 1 )Y C N ( l P N ) * Y f s e D Y 2 + A Y E M * D Y 5
36 COM INt'EITCPl6=nCFT5* : li 7CP17=I lCPT6+NOV5
C C A L L SLBROLTINE TO W R I T E AND PUNCH C A R D S• c • ' ' ' • ' . '38 C A L L WPOCH
^IF ( N B n Y 5 . G T . 2 ) GC TC <tON11=lTOP15-3NT2=K-2GC 1C A2
AC N71*ITOP17-5NT2=ITOP15-'i .NT3=K-3 .NSPL>X=NECCY2-2
NP = C '. ,CC •^'t 1 = 1 f ^ R A K E S
CCMINtE
IF ( N B D Y 5 . L E . 2 ) GC TC 46 . •W R I T E ,(6,110) NTl»NT2,NT3fNHtBMX,NSPLMX,NPGO K 48 .
A6 K R I T E (6 .1CC) NT1,NT2,NHUBMX,NPCC CALCCLA1ING HUB SURFACE DI STANCE ( S-S ( 2 ))C ' ' • : . ' . . .
46 C A L L SIN1P ( X O N , S C N f N B O Y l , X R I f S 2 )VRHE ( 6 , 8 6 ) , .:IF ( IFLAG.EC. l ) GC TC 52SCEl*O.CDC 5C I*1,NBDY1 ,IF (I.NE.l) SOEL = SONM )-SON( 1-1)SCU ) = SCMI )-S2
5C VlRIIE (6 , ^2 ) I ,XCN( I ) ,YON(I ) , C A P P A ( I ) , O Y C X C ( I ) , A L P H A ( I), SON( I ),II) , S C E L
•c- . • .C CALCILATICN SHRCIO OR LOWER FLOfe SPLITTER SURFACE DISTANCEc ' . ' ' ' . ' • • • ' '52 NEP1 = NBDU + 1
IF ( I F L A C . E C . l ) NBOO>2=ITOP12
DC 54 I=5KBP1,NBOCY2JJ-I'IF (XON(I).LT.XON(I-H)) GO TG 56
54 CONTINUE56 CALL SIN1P ( XON (NBP1 ) ,SON( NBP1 ) , JJ-NPOY1 ,XR I , S22 )
IF ( IFLAG.EC.l) GO TC 58I W R I T E ( 6 , £ 6 )
56 IF ( N B D Y S . L E . 2 ) JJ=NPODY2SCEL=O.CDC 6C I=IVBP1,JJ'IF (I .NE.NBP1) S D E L = S O N ( I ) - S C N ( 1-1 )S( I ) = S 2 2 - S C N ( I )
6C WRITE (6,92) I tXGN(I) ,YON(I ) tCAPPfl ( I ) , DYCXC ( I), ALPHA! I), 50N( I),S(II.),SCELIF (N8DY5.LE.2) GC TC 70
tC CALCULATING FLOW SPLITTER UPPER SURFACE DISTANCEC
KRITE ( 6 , 5 6 )CALL SIMP (XONI JJ) ,SON( JJ) , NBODY2-J J ,XR I , S23 )SCEL-C.CDC 62 I=^JtNBODY2IF (I.NE.JJ) SDEL = SCN(I );-SOMI-l)S( I J f e S O N t l )-S23
62 WRITE (6,92) I ,XCN ( I ) , YON( I ) ,CAPPA ( I ) , DYCXC ( I ) , ALPHA ( I ) , SON ( I ) » S( I1), SCEL -
CC CALCtLATING SHRCLO SLRFACE DISTANCE (IF THERE IS A FLOW SPLITTER)C
NBPl=NBOCY2+iDC 64 I = ? N B P 1 , I T O P 1 2JJ=I'IF (XON(I).LT.XCN(I + 1)) GO TC 66
64 CCNTINUE66 CALL SINIP ( XON (NBP1 ) , SON ( N8P1 ) , J J-NPODY2 , XR I , S33 )
WRITE (6,56)SCEL=O.CDC 6f I=hBPlf ITGP12•IF (I.NE.NPP1) SDEL = SON(I )-SCN( 1-1)S( I ) = S33-SCN( I )
66 WRITE (6,52) I ,XCN ( I ) ,YON( I ) ,CAPPA ( I ) ,DYCXC( I ) , ALPHA ( I ) , SON ( I ) , S( I
1),SCELCC WRITE OL1 N.S.D. SPLITTER POINTSt . . -1C NBCSV=NBCYS
IF (NNSC.EG.C) GC TO 74NS = 1
I B N S C = H i lW R I T E ( 6 , 1 2 6 ) I B CW R I T E (6 ,13C) (I , X O N ( I ) ,YON( I) , C A P P A ( I ) , C Y D X O ( I) , A L P H A ( I ) ,,SON( I
IF (NS.LE.NNSD) GC TC 72NBGYS=IBC
CC VRITE OUT CLOSURE COCROINATESC74 > i e e = N » o v « + i
NRITE < 6 , 9 C ) IBD,U,XONm »YCNU) , I= ITOPT4, ITOPT5)•IF (N8DSY.KE.3 ) GC TC 76.'IRC=TBD+1VRITE <6i9C) IBO,(I ,XCNU) , YCN< I ) , 1= ITOPT6 , ITOPT7 )
Id fcRITE <6,1C2) (XRAK { I ) , YLCH I ) ,YHI ( I ) ,NY ( I ) , 1 = 1 ,NRAKES >CALL ARE** /GC 1C 2
C ' • • .C FCR^ATSCC76 FORNAT ( ]HC 1 10X, 16HNC. OF BODIES = , F2.0 ,5x .7HDELS = ,F6.3, 5X, 9HCE
1LSM = ,F6.3,5X,6HXRI = tF10.6)'8C FCRfAT <2CH)62 FCRfAT (JA6,IA)^84 FCRNAT («A6)86 FORMAT (1X/1X23HGCOY 1 CC-ORCINATES - X12X1HY10X5HK APPA10X5HOY/CX1
10X5HAI.PH*5XlHS8X6HS-S(2)t8X,6HDELTAS/lX)66 FOPfAT (1X/1X23HBODY 2 CC-ORCIMATES - X12X1HY10X5HK APPA10X5HOY/DX1
ie>5hALPH45>lHS,8Xf7HSl(j2)-S,8X,6HDELTAS/lX)
9C FCRfAT (1X/1X5HBCDY 1 1 > 1:7H CC-ORDIKATES - X12X1HY/ IX / ( 9X IA, 3XE 1 2.5- IVE-1-2-.-5-H - — - _ -92 FORMAT («XIA,3XE12.5,7E13.5>9^i FCRNAT (tHICASE A6/1X)9C FCR>AT (1HC)96 FORfAT (1X/1X,23HBOOY 3 CO-ORDINATES - X, 12X, 1HY , IOX , 5HKAPPA, 1CX,5
lHCY/CXtlCX,5HALPHAt5XflHS,8X,6HS-S(3) , 8X , 6HDELT AS/1X )ICO FORMAT (/1CX,3CH INPLT FOR THE COMBINE PROGRAM.7H NT(1)=,I^,7H NT(
.12)-«t I4»€t- NHUBMX=, 14, 4H NP=,I4/)1C2 FCRCAT (lX,4HXRAKt10X,3HYLO,llX,3HYHI,16X,3HNDY//,(3E14.5,5X,I3) )1C4 FORMAT (2E6.5,I3)1C6 FCRNAT (6F1C.2)1C8 FCRfAT <F1C.2,1CF7.2)110 FCRfAT (/5>t30H INPUT FOR THE COMBINE PROGRAM, 7H NT(1)=,I4,7H NT(2
lt-»I4v7H NT(3)=,I4,8H NHUBMX = , I 4 ,8H NSPL*X = , 14 ,4H NP= , I4/ )112 FORMAT (lHCflOX,6HENREEO,10X,13HSTRAIGHT L INE/11X, F6. 3,5X , 1HX, 1P2E
I15.4/22X,1HY,1P2E15.4)114 FGRKAT (1HC,10X,6HENREED,10X,12HSUPERELLIPSE/11X,F6.2,5X,1HX,1P5E1
15.4/22X,1HY,1P5E15.4)116 FOR CAY (1HC, 10X.6HENREEO ,10X , 10HLENNISCATE/11X, F6. 3, 5X, 1HX, 1P3E 15.
14/22>V1H>,1P3E15.4)118 FORK A T ( lHC,10X,6HENREED, lOX,7HELLIPSE/HX,F6.3,5X, lHX, lP4E15.4/22
!X, lhYv lP<E15.4)120 FCRMY UHC,2X,16H**** HUB *«*******)122 F C R f A T (1HC,2X,16H**** SHROUC ****«*)124 FORM? ( lHCt2X,18H**** S P L I T T E R **«*)126 FORM" (1HC,10X,6HENREEO,10X,5HCUBIC/11X,F6.3,5X,1HX,1P4E15.4/22X,
1IHY,1P4E15.4)12:8 FCRI"AV UX/1X,5HBCDY,- I2»17H CO-ORDINATES - X, 12X ,1HY , IOX, 5HKAPPA , 1
10X,5HOY/CX,1CX,5HALPHA,5X,1HS,8X,6HS-S(2),8X,6HDELTAS/1X)130 F C R F A T (« X , 14 ,3X ,E12.5, 5E13. 5 )
HNC
3(7
--SI8F7C SLPRD.
C SUBRCUTIf^E TO HANDLE NOlSE SUPPRESSION DEVICE SPLITTERSC
SIERCUTHE SUPRO (K)CCNNCN /FOR3SS/ I ,DELS, XBK( 20) , YBK ( 20 ) , XCN ( 500 ) , YON ( 500) , DYDXO ( 5-001), ALPHA15CC) ,CAPPA(5CO) ,SONf 5GG> ,PI0180CCWGN /MIN/ XIM1G) ,YIM10),DELSM, PIC2,CELS1, IHURCCK*GN /KNSD/ NNSC ,NSD8DY ( 10 )
KPREPNSPHG,NLAST,XLAST(500) ,
CGN»GN /U'PF/ IFLD
REAC (5,2C) DELSEELS1==DEISCC It N=lilVNSONSFKG=CK = K-(;1feRITE (t,ie) NKNSC-K
CG NSEC- = NIHEER OF SEGKENTS ON THE SPLITTERC NSfcIGH - NSEG/2 FCR THIN SPLITTERSC = NSEG ( FOR ALL OTHER SPLITTERS )C
READ (5,22) NSEG.NSHIGHDC 1A J*1,NSEGREAC (5,2A) ENREEC,(XIN(I),YIN( I ), 1 = 1,5)>IF ( J.GT.NSHIGH) NSP(-G = 1
CAPPA!(K)=O.CIF (ENREEC.NE.l.CI GC TO 2
V R I T E < 6 , 2 6 ) ENREED,UIN(I) ,1 = 1,2) , (YIN( I),I = 1, 2)CALL STRMT ( K , O . C )D Y C X C M < S V ) = D Y D X O ( K $ v n >A L P h A ! ( K S \ ) = ALPHA ( K S V + 1 )GG 1C 12
2 IF (ENREEC.LT. -2 .C) GO TO 10 J
IF (ENREEC.LT. - l .O) GO TO 8IF ( E N R E E D . L T . C . C ) GC TO 6
CC SET-IP S IPERELLIPSEC
XPREP=CWRITE (6,26) ENREED,(XINII ) ,1 = 1,5) ,(YIN( I) ,1 = 1,5)CALL TEST (5)*IS1ART=KKl-KCALL SUPERC ( XIN , Y IN,ENReEO,CELSl, ISTART )
KM-1
DC 4 ia=J»l,K2
IF i ( . K P R E F . E C . O ) GO TC 12C A L L PRElPS < IDUK,1,5,K1,K2)GG. 1C 12
C . . 'C SET-UP L E P M S C A T E , . . . .C • ' . ' ' . " - ' . . .6 W R I T E ( 6 i 3 C > E N R E E D , < X I N ( I ) ,1=1,3) , (Y IN ( I)il=lt 3)
G A L L LEI" tK )K=M1 ,GC TC 12
CC SET-LP ELLIPSE . .C•8 WRITE (6,32) ENREED,(XIN(I ) ,1=1,4) t(YIN( I), 1=1, 4)
KPREP=C ' - 'CALL TEST (A)K1 = KCALL ELIFSE (K)
IF ( K P R E F . E C . O ) GC TC 12C A L L P R E L P S ( IDlJK,l,<i»Kl,K2)GC TC 12
L'P CL~PIC - ~ -- - - - -C •1C W R I T E ( € ,3^ i ) ENREEDt ' (X INU) ,I = l t4) , (Y INU) , 1 = 1,4)
CALL CUBIC (K)K=K-«1
12 *IF ( J .EQ.NSHIGH) N L A S T = K14 CONTINUECC NUKBER CF PTS ON EACH NSD
NSCBCYlN I^K -KNSD- t - l16 CCKTINUE , ,
RETLRN . . . . . • 'C . . . . . . .
C F C R N A T S :C
;C . ' '18 F C R f A T (1HC.2X,23H**** SPLI T T E R ( NSC ) NO. ,12)2C F C R ^ A T J6F1C.2 )22 FCPMT (1615)24 F C P f A T (F lCo2 ,10F7.2 )26 F C R C A T ( l H C t l O X , 6 H E N P E E O t l O X , 1 3 H S T R A I G H T L IME/11X, F6 .3, 5X, 1HX, 1P2E
115.4/22X,1»-Y,1P2E15.4)2€ FCRf AT ( ]HC,10X,6HENREED,10X, l2HSUPERELLIPSE/ l lX ,F6.3 ,5X, lHX^ lP5El
15.4/22X,1HY,1P5E15.4)3C FCRf AT UHCt 10X,6HENPEEOflOX,1.0HLEHNISCATE/l lXtF6.3, 5X, 1HX , 1P3E 15.
32 FOPPAT ( lHC,10X,6HENPEED,10X,7HELLIPSE/l lX,F6.3,5X,lHX,lP4E15.4/22
34 , F C R P A T ( ]HC,10X,6HENREED,10X,5HCuBIC/ l lX ,F6.3 ,5X f !HX,lp4E15.4/22X,11HY.1P4E15.4)
ENC
* IB FTC KPNCH DEBUG
SUBROUTINE V.PUNCHCGNN.CN /SS/ NBDYl,NBODY2,TYPeDYtNBCYSCCKPCN /FCR3SS/ I ,DEL S, XBK (2C ) , YBK (20 » ,XON { 5CO ) , YON ( 5CO) , OYDXO ( 5COU,ALPHA(!CC)fCAPPA(5CO> »SCN(5QO) tPIClBO
ecNKCN mRTE/ i F L A G , NDYA f p R C G t T I T L E (9 ), POCIESU) , i c E N T , Y L O ( 2 5 ) , Y H1 1 ( 2 5 ) , N C > < 2 5 ) t X R A K ( 2 5 ) f N B D P T S I 5 ) ,NC6 ,NRAKES
DIMENSION Y C F F ( 2 C O ) , X O F F ( 2 0 C ) f FK5CO)CGK'fON / ^ ^ S C / f V N S D . N S D B D Y d O )DA1/J BOOC/6H-BCCY / . IFLAG1/AH 111/ , IFLAC-2 / ^H 1 1 / , T 2 2 Y / 6 H 2 2 Y / ,
MFLG2A/1F / , I FLG2P/1H1/CC I F ' V L O A^C YHI ARE READ IN AS 7. FRO , C A L C U L A T E THEN FOR THAT R A K EC ( F C R HUB AND SHROUD C A S E S C N L Y J 1/4/73CC FIND HIGHLIGHT ON THE SHROUDC
N E = N B D P T I ( 2 )CC 2 I=NE,NEIF ( X O N ( I '+D.LT.XCNMI ) ) GO TC 2JMN-IGC TC ACCNTINLEDC 6 I=1,NEF I ( I ) = INCFF=CCC 16 I=1,NRAKESNLG=NOFF-»1KCFF=NLC-<NCY( I )
IF ( Y H K I ) . E Q . C . C . O R . Y L O ( I ) . E O . O . O ) GO TC 8GC TC 12
8 IF (YHKI ) .NE.C.G) GC TO 10C A L L SIMP ( X O N ( N E ) , V C N ( N B ) , JfIN-NP + l f X R A K U ) f Y H )C A L L SIMP ( X C N ( N B ) tFI (NB) , JMN-NB + l ,XR f lK ( I),FII )I F = F I IDS = S C R T H X C N ( I F ) - X O N ( I F + 1) ) **2-HYCN( I F ) - Y O N ( IF+1 ) ) * * 2 )YHI ( I ) = Y h - C S
1C »IF ( Y L O M ) . N E . O . C . O R . X R A K ( I ) . L T . X O N ( 1 ) ) GO TO 12G A L L SIMP ( X C N , Y C N , K 8 D P T S ( 1 ) , X R A K ( I ) ,YL )C A L L SIMP (XON,FI ,NPDPTS(1 ) t XR AK ( I ) t F I I )IFsFHD S n S C R T U X C N t IF ) -XON( IF + D ) * * 2 + ( Y O N ( I F ) - Y O N { IF*1 ) ) * * 2 )Y L C ( I > = Y l + C S
12 C Y I = ( Y H I 1 I ) -YLO( I) I /ENDYDC 14 J=NLC,NOFFDJMJ-NLC
14 C C N T I N t E
16 CCMiNUENTEGV^NBCYS+NNSD-UNLGCP=2=IF (KBDYi .EC.3) GG TC 18GG 1C 2C '. . . . - - :
U NTECV=N7f DV-»1
2C K = CCC 22 l = l , N L O O P
I F L A ( ; G = I F L A G 2; IF U' .EC.NTBOY.AND.NEDYS.EQ.2.0R.Nf iDYS.EC.3.AND.N.EQ.3) IFLAGG=IFL
1AG1>IF ( P R O G . E C . T 2 2 Y ) GO TO 22V i R I T E ( 6 , 3 4 ) ( T I T L E ( L ) , L = lt 9 ) ,K, BOHYt;, ICENTW R I T E (6 ,36) N,IFLAGG,N06, IDENTGG TC 24
22 ' IFLG22 = I F L G 2 AV R I T E (6 , AC) M » I F L G 2 2 , ( T I T L E ( L ) ,L=1,T) ,^,BCDYC, ICENT
24 feRITE ( 6 , 3 8 ) IDENT :
NA = 1NS=C;IF ( UNE.l) K = lCC 3C J=l,^!lF ( J.GT.NEDYS.AND.NNSD.NE.O) GO TC 26NE=?NRDPTS ( J)
26>IF (NS.G1.NNSD) NSDBC Y( NS) =NEDPTS( NBCYS + U -NBCPTS ( NRCYS )NB-NSDBCXf^SMNA-l .
2E NP-NE-NAU .CALL V I R T X Y (NP , IDENT , J, K , XON , YON tN A ,'NB , PROG )
3C CCNT1NUE
NA=;1NE^N'CFF•J = CCALL VIRTJiY (NOFF , IDENT,, J ,Kt XCFF , YOFF ,NA ,NB, PROG )•IF. ( P R O G . N E . T 2 2 Y ) GG TO 32
V R I T H ( 6 , 4 C ) M , I F L G 2 2 , ( T I T L E ( L ) , L = 1 » 7 ) , P , B C C Y C , I CENTVRITK (6,42)
32 GCNTHNLERETtflN
G
Ccc34 FCRMT ( 1 H $ , 9 A 6 , I 1 , A 6 , 2 X , A 6 )36 F C P V A T UH$,I1,A4,I1»56 :X,A6,11X)36 FCRMT (1HJ , 6 2 X , A 6 , H X )4C FCRF/1T (lHt,IL,6Hll , A1.4X ,7A6, II, A6, IX , A6 )42 FCRK/iT (IHf ,3HC.O,7X,3HO.Ot7X,3H90.)
CNC
3/
IB-fit ViRTvX'Y.
CCC
A6
ccCc81C121A16
V . R T X Y (NP , IDENT, J ,K,X ,Y NB ,PROG)
fcRITE X *NC Y C C C R D I N A T E S
C I * E N S I G > X I ) , Y d )D A T * T22WCH 2 2 Y /V R I T E ( 6 , 8 ) NP.IDENTIF (PROG.NE.T22Y) GO TO AiF - (J .NE.C ) GO TC 2<KR ITE (6, It ) J ,K, IOENTGG 1C 6W R I T E (t,l<i) J,K,IOENTGC TC 6hRITE (6 .1C) J,K, IDENTJF '(K.EC.l ) RETLRNW R I T E (6 ,12)W R I T E (6,12)RET1RN
(XU) ,L=NA,NB)
FORMATFCPNATTCRfATFCRKATFCRfATEND
STATEMENTS
(IHf ,7X,I3-,52X,A6,11X)UHJ,i9X,Il,9X,Il,42X,A6,llX)(lh$,6F10.6)(lH$,9XtIl,9X,lHl,9X,Il,32X,A6,HX)(IHf ,9X,Il,19X,ri,32X,A6,llX)
3I8.FTC SIR!
3U8RCUTINE S T R A I T (K, ISHR)CC A R E G U L A R S T R A I G H T SEGMENTC
e C K ^ C N / M I N / X I N U O ) , Y I N ( 1 0 ) , O E L S * ' X , P I C 2 , C E L S 1 , I H U BCCRf.CN / F C R 3 S S / I ,OELS ,X8K ( 20 ) , Y R K < 2 0 ) ,XCN ( 500 ) , YON ( 500 ) , OYDXO ( 500
l) f A L P H A ( f C C ) t C A P P A ( SCO) »SON( 500) ,P 10180CO'f'CN / ! S X N B D Y l t N B C O Y 2 » T Y P B D Y , N B C Y SGOfCM 7 F N S T / N F I R S T •CC>^C^J /^HIGH/ N S P H G , N L A S T , X L A S T ( 5 0 0 )K F I P S T = K
*IF (XTES1.EC.O.C) GO TO 2DYGXC=YTES1/XTEST•ALPMC = A1AN(YTEST/XTEST)GC TC A
ALFHAG=PIC2CC CALCLLATE-C -A
*NCS=STC1/CELS1
IF (1EST.GE..5) AINDS=AINDS+1.0CELSKW=S1CT/AINOSOELSNW=Ae$(CELSNb)CELS1=CEISNW'IF (YTEST) 6,12,6'-IF tXTESI.EC.O.G) GO TO 18
K^1 )=DYOXC
SIGN=1.CIF (XTES1.LT.O.O) SIGN=-1.0YGN(K-H)»YCN(K)tSlGN*DELSNW*SIN( ALPHA (K+l) )tlF (NSPHG.EC.O) GC TC 8XCN--(K*l)sXCN(NLAST-l)NLAST=NL*ST-1GC TC 1C
8 XCN;(K-H)*XCN!(K) + SIGN*OELSNW*COS(ALPHA(K+1) )1C SCN(K-H) = SCN(K) + SCRT( (XON (K+l )-XGN (K ) ) **2+ ( YON ( K-H )-YON( Ki) )**2)
GAPPAI(K+1)=C.OIF (XTEST.LT.O.O.ANO.XON(K+1).LE.XIN(2).CR.XTEST.GT.G.O.ANO.XOM(K+
:11).GE.X^(2) ) GC TO 20•IF (ABSOON(K + 1)-XIN(2) ) .LE. 1.0E-A*DELS. AND. ABS ( YON ( K + D-Y IN ( 2 ) ),L
T£.1.CE-<HDELS) GC TO 20KS.K-CIGC TC 6
12 CYCXCstK-tl)=C»0*LPH.A!(KH!.1)=C.OSIGN=1.CIF (XTES1.LT.O.O) SIGN=-1.0>IF (NSPHC.EC.O) GC TC I*
K + 1MXCN(NLAST-1)'T = NL/!ST-1
GC 1C It14 XCN(K-»-l)3XCN(K)+SIGN*DELSNW16 VCMK + 1)*YCN(K)
SCMK+l)»SCMK) + SCRT<(XCN(K^)-XCMK))**2MYON(K + il-YCN(K) )**2)CAFPACM1 »=C.OIf (XTESl.LT.O.C.AND.XON(K-H).LE.XI(^(2).CR.XTEST.GT.G.O.AMD.XON(K-f
1D.C-E.XIM2) ) GO TO 20IF (A8SOCN(K*1)-XIN(2) ).LE.1.0E-4*DELS.*NC.AES(YON(K+1)-YIN(2) ).L1E.1.CE-4*CELS) GC TC 20K = K<1GC TC 12
If CYOCIM] )=<59999.
5IGN=1.C>IF (YTES1.LT.O.O) SIGN=-1.0
(XON(K-H)-XCN(K) ) **2+ (YONIK + 1 )-YON( K)CAFPA1K-U)=C.OIF (YTEST.LT.O.O.AND.YON(K+1 ). IE, YIN (2 ) .CR .YTEST .GT.Q.O. AND. YON ( K+
11).GE,YIN(2)) GC TO 20IF (A8SOCK(K + 1)-XIN(2) ) ,LE, 1.0E-4*OELS. ANO. AfiS ( YON( K + l )-Y IN ( 2 ) ) .L
1E.1.CE-4*OELS) GC TO 20
CC TC 1820 K = M1
CC 22 KAL=;KFIRST,K22 ALPHAHKAl ) 3 ALPHA tKAL > /PI0180
RETIRNENC
llflFTC CLBIC.
SLBRCUTIlsE CUBIC (K)
t FIT A CLEIC BETWEEN 2 STRAIGHT LINES — RESTRICTION -- THE STRAIGHC LINES CANNOT BE VERTICALc • • . . , - . • - . . . . . - " . . ' . . • • . • • . ' ' , . ' " ' . • • • .
ciKNSici* A M A . A ) , B e < 4 )CCI»*CN /*AIN/ XIN(10> fYIM10)fnELSNX,P.IC2tCELSli IHUBCCKNCN XFCR3SS/ I ,DELS, XBK( 20 ) , YBK (20 ) tXCN(5CO) tYON( *<JQ \, OYOXO( 5'-CO1),ALPHA(5CC)tCAPPA(SCO)tSONt500)tPIOlSOCCC^CN /!SX NBDY1,NBCDY2,TYPPDY,NBCYS .CELSIN=CELS1C E L 3 « O E L ! 1 . . ' .KCLM=C .
X 2 = i > I N 2}i)
2}3 j
S L C P 2 =CC SET1P 4 X 4 H A T P I X O F C C E F F 1 C IENTS
JC __, ^^ ; • : ' . . '•• . • ' ' 'A A (l,l) = l.CAAN,2)=>2AA.(1,3) = >2*X2AA(1,A)=>2**3AA(2,ll=C.CAA(2,2)=1.C
AA (2,<t)-i.C*X2**2AA(3,1)=1.CA A I 3 t 2 ) = > 3
AA <3,4)=>3**3
CC 2 11=1
2 CCM1NLEC ' 'C S E T U P V E C T C R OF C R I G I N A L C O N S T A N T S — PRC - ' ' '. . '
Efid ) = Y 2B P ( 2 1=( Y Z - Y ' I N ( l ) ) / r X 2 - X I N ! l ) )B B ( 3 ) = Y 3BB(^i ) = (Y1N U J-Y3 J / C X I N J 4 J - X 3 )CEBLC (BB(I ),!=!, A)
CAU SIPC (AAs ,BB,NSIN,KSIM)D=eemc = e e < 2 )A = 8E,«>)c=:ee<2)B=eemK = K S T A R T
D Y C X C K K - H )=3 .0 *A*XON(K+1 ) * *2+2 .0 *B*XON(K+1 ) +CC A P P A I K 4 ] ) = (6 .C*A*XCMK+ l ) + 2.U*B)/Ul .Q + C Y C X n < K + l ) * * ; ? )**1.5)'A L P F A ! ( K + 1 ) f A T A N ( C Y O X C ( K + l ) )
• C S = ? C E L S / U . C - - « « 2 * T A N H ( A B S ( C A P P A ( K + 1 )) ))K = M1D X K P 1 ^ D S / ( S C R T ( 1 . C + D Y D X C ( K ) ) )' IF ( X I N < 2 ) . L T . X I N ( 2 ) )
) * *3+6*XON (K + l ) **2 + C*XCN (K + l )+CD Y C X C ( K - » i l ) = 3 . 0 * A * X O N ( K + 1 ) * * 2 4 2 . 0 * B * X O N ( K + 1 ) + CG A P P A ! ( K * l ) = ( 6 . 0 * A * X C ^ ( K + l ) + 2 . 0 * B ) / ( ( 1 . 0 + C Y D x C ( K + l ) * *Z )**1.5)C S a f c E L S / < l . C - « ; . 2 * T A N H ( A B S ( C A P P A ( K + l ) ) ) )ALPHAi (K + l ) = A T A N ( D Y D X C ( K + 1 ) )S C N ( K - H ) = S C N ( K ) * S G R T ( < X O N < K+1 )-XON (K M **2+ < YONl K+l ) -YON{ K)IF (SLCPZ.GT.1 .0 ) GO TO 8IF ( X I N ( < ) .GE .X3 .AND.XON(K+1 J .GT .X3 ) GO TO 10IF (X lN« ) . L T . X 3 . A N D . X O N ( K + 1 ) . L E . X 3 ) GO TO 10GC TC 6
'8 IF (Y INC ) . G E . Y 3 . A N O . Y O N ( K + 1 ) . G T . Y 3 J GC TO • 10IF (YIN(4) .LT.Y3.ANO.YON(K-H).LE.Y3) GO TO 10GC TC 6
1C >IF ( K O U N 1 . G T . 1 C O ) GC TO 20D E L S S ^ D E t SC S 1 E S T - - « X C N ( K + 1 ) - X I N { 3 ) . ) * * 2 + ( Y C N ( K + 1 ) - Y I N ( 3 ) ) * * 2 ) * * , 5IF ( A B S ( C S - C S T E S T ) . L T . . 0 1 * D S ) GO TH 12IF (CSTE5T .LT . . 01 *DS> GO TO 14IF ( C S T E ! T - . 5 * D S I 18,16,16
12 K=K-1
GC TC 2C16 D E L S - D E L ! - K C S - D S T E S T ) / F L O A T ( K - 1 - K S T A « T )
'IF (KOUM.GE.10) DELS = ( O E L S + CELSS) /2 .0GL TC A
1£ OELS*OEL! -CSTEST/FLOAT(K-KST4RTI>IF <KOUN1.GE.10) DELS = (DELS + C E L S S ) / 2 . 0GC TC 4
2C DELS1*5DS*1,2-IF (CELS1 .GT .DELS) DELS1=DELS*|RITE ( 6 , 2 ^ t ) K O U N T , A t B , C , 0W R I T E < 6 , 2 6 ) D E L S I N , C E L S , D E L S 1 , D S T E S TKEKC-K+1
DC 22 I=? I«START,KENDALPH«m»ALPHA(I )/PlC180
22 CCKTINL'EREItRN
CC24 FORMAT (1HC,2X,I4,2X,10HITERATICNS,2X,4HA = , 1PE 12. 5 , 2X, 4HB = , 1PE
1I2 .5< ,2X,<I -C =? , 1 P E 1 2 . 5 , 2 X , 4 H C = ,1PE12.5)21 FCRI-AT C-X,10HDELS IN = ,F8. 5 t3X ,7HDELS = , F8.5 , 3X , 1 1HOELS OUT = ,
•1F8 .5 ( ,3X ,«HCSTEST = ,F8.5)
=$I8;FTC FNSHB
SIPRCUTINE FNSTRH ( K)'CC FIML STRAIGHT SEGMENT ON THE -HUB AND SHROUD•c
CCKfCN /MIK/ XIM10) , YI N ( 10 ) ,DEISKX ,P 102 , CELSl , IHUPCO PON /FCR3SS/ I ,DELS,XBK (2C ) , YBK (20) f XCN (SCO ) . YON( 00 ) , OYDXO ( 500
l:)t ALPHA (fCC),CAPPA(5CO) , SON (500) ,P 10180/S'SX NBDY1,NBCPY2,TYPEDY,NBCYS/FNST/ KFIRST
NFIRST=KDS=C£LS1
•IF (XTEST.LT.0.0) ASIGN=-1.0IST«R=0
IF ( X T E S 1 . E C . O . O ) GO TO 2'IF— (-YTESI-.EG.O.G)-GG-TD-ACYOC = Y T 6 S T / X T E S TA L P H * C = A 1 A M Y T E S T / X T E S T )
C O S A L = i C C ! ( A L P H A C )GC TC 6C Y C X C = S I G K ( 9 9 9 9 9 . , Y T E S T )A L * H A C = S I G N ( P I 0 2 , Y T E S T )
CCSAL=O.CGC TC 6CYOC=C,(ALPHAC=C.C
CGSAL=1.CC Y D X C ( K - * 1 ) = C Y D X CALPHA < K * ] ) = A L P H A CIF ( C S . G T . C E L S H X ) GO TO 8GO TC 16»IF ( I S T A F . K E . C ) GO T C - 1 6O S L A S T = C <
« I C C t N T = C1C
S S T A R * S G P T ( X S A V E * * 2 + Y S A V E * * 2 )A S T A R s ( S ! E G - S S T A R ) / O E L S T RA T E S T ^ A S T A R - F L O A T d F l X ( A S T A R ) )IF ( A T E S T . G T . . 5 ) A S T A R = A S T A R + 1 . 0N S T A R ^ I F I X J A S T A R )
C S = (SSEG-S S T A R ) / F L O A T ( N S T A R )I S T A R = 1IF ( C S . G T . C S L A S T . C R . N S T A R . E Q . O ) GC TO 12'IF ( ICOCM.GT.O) K=K*1GO TO 16 ;:
12 K = K-1'IF ( K . G T . N F I R S T ) GO TO 14K = N F I R S TC A L L STRMT ( K , C >K = K-160 TO IE
14 D S L A S T = S C R T « XON (K-l ) -XON(K) ) **2+ ( YGN ( K-l ) -YON( K ) ) **2)*1.2C E L S T R = C 5 L A S T .' I C C L M = I C C L N T t lGC TO 1C
16 X O N ( K 4 ; l ) = X C N ( K ) t A S I G N * D S * C O S A L. Y C ^ ( K ^ • 1 ) » V C ^ ^ K ) * A S I G ^ * O S * S I N A LS C N ( K + 1 ) = S C N ( K ) + S C R T ( ( X O N ( K * 1 ) - X O N ( K ) ) **2+ { YON { K+ 1 ) -YON( K ) ) * *2)C A P P A J K + 1 ) = C . OIF < « B S O C N ( K + 1 ) -X IN(2 ) ) .LE. .001*DS.ANC.XTEST.NE.O.C) GO .TO 18IF ( A B S O C N (K + 1)-YIN(2) ) . LE . .OO l *DS .ANn .XTEST .EQ.O .C ) GO TO 18K = . K 4 1IF ( I S T A R . E C . O ) CS=DS*1.2GO TO 6
1£ C E L S 1 - D E L S
CO 2C K A L = N F I R S T , K2C A L P H A ( K A l )= A L P H A ( K A L ) /P 10180
RETLRNENC
cGtCcCCC
CG
FRSTS
SUBROUTINE FRSTSH IK»
fIRST STPAICHT SEGMENT SHROUC
tIF THERE IS NO HUB INTERCHANGE POINTS (XI,YD AND (X2,Y2)AND TREAT LIKE FINAL STRAIGHT SECTION CN THE HUB,THEN REVERSE XON AND YON ARRAYS
twrruiN /r*>irw XIMlO),YIN<10),DELSNX,PI02,DELSl, IHUBCO*»ON /FOR3SS/ I ,DELS, XBK(2G), YBM20 ) ,XCN(5CO) , YON ( 500 ), DYDXO ( 5COU, ALPHA ( 5C C ),CAPPA ( SCO ),SON( 500) ,P 10180
'•"• NBDYl,NBCOY2rTYPBDY,NBGYSCGKfCN XFN'ST/ NFIRST
XA(2), YAJ2), DSV(500), «SV(500), XSV<500), YSV(5CO)f SS
2
S C N ' ( K ) = C . C>IF ( I H U B . E C . l ) GC TO 8CC 2 1=1,2XA ( I ) ^ X I N
* Y A < I ) = ? Y I NX I N ( 1 J = X t! X I N ( 2 ) = X / !Y I N ( D = Y <H IN ( 2 ) = Y <
i jI )2 )1)2 )1)
NFE2=K
XON(K)=X1N(1)GALl FNSTRH (K)KSV = KDO A I=NFB2,KSVKSP-KSV+1-IDSV(KSR)»DYCXOASV!(KSR)*ALPHA
SSV(KSR)=SCN(CC 6 I=NFB2,K VCYC»0<I)'OSV(ALPHAXCK(I
I)I)
I)»ASV(=XIV(I)=Y!vm
SON (I =S*V(I)V
GAPPACCMINUECELS1 = AB<(SCN<KSV»-SCN(KSV-D)NBCY1=0RET1RN
IF THERE IS A HUP, USE X VALUES FROP FINAL STRAIGHT
C SECTION ON THE HIB FOR FIRST STRAIGHT SECTION ONC SHRCtCC8 XTEST = XIM1)-XIN(2)
YTEST = YIM1)-YIN<2)IF (XTESl.EC.O.G) GO TO 10DYCXC*YTEST/XT£S.T:ALPHAC=A1AN2(YTEST,XTEST)GC TO 12
1C CYCXC*9c<c<;.A L P H A C = P 1 C 2
12 K=K-1NBCC-NBO1 , .JF (TYPECY.EC.3.C.ANC.NBDYS.EQ.3) NBCC=NPOCY2DC 1C I=^FIRST,NBDCKEEP=NBDC+KFIRST-I
CYCXC(K+1)=CYOXC•ALPHA fK+1 )=/»LPHAC .IF { I.EG.NFIRST) GC TO 14:YCMK*l)»YCNtK)+(XONlK-H)-XCMK) )*CYCXCSON(K*1)=SCN'(K)+(XON(K)-XON(K + 1) )*COS(flLPHAC)GC TC 16
1^ ^CMK + 1)*YIN(1)+(XON|K*1)-XIN(1) J*CYCXC16 C'AFP/»KK-t:l)sC.O
AL PH*-(K+1) = ALPHA (K + l) /PI C180
If CONTINUECELSV=SCMK J-SCN(K-l)RETLRNEKC
$IBFTC LEU
SUPPCUTINE LEM CK)C • 'C SLBPGUTIIVE TC C A L C U L A T E POINTS ON A LEMNISCATEc • . - . " '
CC**GN / F C R 3 S S / I ,DELS,XBK t 2C ) ,YBK (20) ,XCN ( 500) t YON( 500) ,OYDXO ( 500l . ) , A L P H A ( ; C C ) , C A P P A ( 5 C O ) ,SON1500) .PI0180CCWCN / ! S X NBDYl ,NBCDY2»TYPecY,NBCYSCCPKCN-/MIN/ X IN( IO) t Y I N ( 1 0 ) » D E L S N X t P I C 2 f C E L S l t IHURCELSIN=DELS1
K S T A R T = KD E L S = D E L ! 1?THET» 'X = A 1 A N ( A B S ( ( Y I N < 3 ) - Y I N ( 2) ) / <X IN ( 3 )-X IN ( 2 ) ) ) )A = S C R T « < X I M 3 ) - X I N ( 2 ) ) * * 2 + < Y I N ( 3 ) - Y I N ( 2 ) ) * * 2 ) / ( 2 . 0 * S I N ( 2 . 0 * T H E T f O <
1 ) ) )
IF ( Y I N d J . E Q . Y I M 2 ) ) GO TO 10IF ( X I N ( ] ) . E C . X I N ( 2 ) ) GO TO 25 L C P E = ( Y 1 N ( 2 ) - Y I N ( 1 ) ) / < X I N ( 2 ) - X I N ( D )A R C T^JT A h-C.Sl-0.P-E-) _ _GO TG A
A R C T = - P I C 24 DC € I ROT * 1,3
X N ' X I N ( I P C T )X I N ( I R O T ) ^ X N * C O S ( A R 0 1 ) - Y I N ( I R O T ) * S I N ( A R O T )
6 ^ I N ( I R O T ) a X N * S I N ( A R O T ) + Y I N ( I P O T ) * C O S ( A R O T )8 K = K S T A R T1C K C N ( K * 1 ) = X I M 2 )
Y C N ( K + 1 ) = Y I N ( 2 )CAPPAi (K+ ; i )=0 .0
KOLNT=KOtNT+lOSSAVE=OELSCS^CELS
fTHBT^DTHET^.512 R=A*SORT(2.0*SIN(2«0*THET))
DSCHEK=R«CCS(THET)^IF •CDSCKEK..GT.1.1*DS) GO TO 14IF <CSCHEK.LT..g*DS) GO TO 16DEL!=DSGC TC 16
14 !THET«=THET-.02*DTHETGC TC 12
16 THET-THET+.02*DTHETGC TO 12 .
16 K=K<12C ft=A*SQRT(2.C*SIN(2.0*THET) )
S C N ( m - l ) = S C N ( K ) + S C R T ( ( X C N l K + l ) - X C N ( K ) ) **2+ ( YON( K + l ) -YON( K ) ) **2)'IF ( A B S ( « C M K + l)-SCNtim.GT.1.05*DS) GO TO 22IF ( A B S ( S C M K + 1)-SON(K) ).LT. .95*05 ) GC TC 24GC TC 26
22 TFET=THE1-.C2*DTHETGC TC 2C
24 IHET=THET+.C2*DTHETGC TC 2C
26 DYO'>C!(K-«:1 ) = - T A N < 3 . 0 * T H E T )ALPHA: (K+1 )= -3 .C*THETCAPPA1M1 ) = 3 . 0 * S C P T ( S I N ( 2 . 0 * T H E T ) / 2 . 0 ) / AD S ^ G E L S / ? C R T < 1 . C + A B S ( C A P P A ( K + 1 ) ) )IF ( A B S ( C S - D S S A V E ) . G T . . 2 5 * D S S A V E ) nS=CSS A V E + S IGN { . 2 5 * D S S A V E , DS-DSS
1 A V E ID S S A V E = C JO T h E T ^ D S * S C R T ( S I M 2 . C * T H E T ) / 2 . C ) / A
>IF (THET.LE .THETNX) GO TG 18"If (KOUM.GT.5C) GC TO 36D S T E S T = ( . < X C N ( K + 1 ) - X I M 3 ) ; ) * * 2 + ( Y C N ( K + 1 ) - Y I N ( 3 ) ) * *2)**IF ( C S T E J T . G T . P S ) GO TO 34'IF (CSTE !T .LT . .OCC1*CS) GO TC 28 .' IF ( C S T E J T - . 5 * D S ) 32,32,30
26 Y C N ( K * 1 ) - Y I N (3 )
GC TC 363C C E L S = D E L 5 - C S T E S T / F L O A T ( K - H - K S T A R T )
GC TC 63 2 D E L S = D E L ! - » C S T E S T / F L C A T ( K - H - K S T A R T )
GC TC 834 D E L S - . 8 * C E L S
GC TC 83t CELS1=DS«1.2
IF ( C E L S 1 . G T . D E L S ) OELS1=DELSW R I T E ( 6 , 4 4 ) KCUNT,T» -ET^X ,AV » R I T E ( 6 , 4 6 ) DELSIN ,CELS,DELS1 ,CSTESTKENC-K+1K S T A R T = K I T A R T * 1•IF ( Y I N I 2 I .EQ.YIMD) GO TO 40DC 26 K R C T = K S T A R T , K E N DX N = > C N ( K R C T )
Y C K ( K R O T ) = Y C N ( K R C T ) * C O S ( A R O T ) - X N * S I N ( A R C T )A L P I - A i ( K R C T ) = A L P H A ( K R C T ) - A R O T •CYDXCKKRCT )=T AN (ALPHA (KROT) )
36 CCNTINL'E4C DC 42 KAl=KSTART,KENC .42 ALPKA!(KAl ) = ALPHA (KAL ) /PIC180
RETLRNCC44 FCRKAT ( 2 X , 13 ,2X , 13HI TER ATI CNS --- ,3X ,13HTHETWXCALC = -,F10. 5, 3X , 8HA
1CALC = ,F1C.5)46 FCRM«T I2X,10HDELS IN = ,F8. 5 ,3X iTHDELS = ,F8.5, 3X, 1 1HOELS OUT = ,
lFe.£; ,3X,«HCSTEST * ,F8.5)EMC
=$IBFTC 6LLIPS
ELIPSE <KI
•C ' JTHIS SUBROLTINE FITS A SEGMENT OF AN ELLIPSE TO TWO ARBITRARILYt CRIENTED STRAIGHT LINES NOT KCRE THAN 9C DEGREES APARTc . • - • ' '
/fAlN/ XlN(10)fYIN(10),DELSCX,Pl02fCELSl, IHUB/FOR3SS/ I ,DELS,XBK(2Q) t Y8K (20 ) f XCN ( 500 ) , YON ( 500 ) , OYOXO( 530
11, ALPHA < ?CC ) »CAPPA< SCO) tSONf 500) ,PI0180CCfJ'GN /!S/ NBDYUNBCOY2rTYPeOY,NBCYS
C " ' ..C TRANSLATE INPUT BREAK POINTS SO THAT POINT NO. 2 BECOMESC THE ORIGIN .C
CE1SIN=CBLS1KCtM=CCELS'DELSl
K*K-1K5TART=K
CO 2 I»li4X1N( I)=XIN(I )-X2
2 VIN(IV=Y1N(I)-Y2.CC ROTATE THE TRANSLATED BREAK POINTS SC THAT THE SLOPE OF THEC FIRST STRAIGHT LIKE IS ZEROC
IF (XINt2).NE.XIMl)) GO TO 4
P H I = - P I 0 2i l F ( Y I N ( 1 ) . G T . Y I N < 2 » P H I = P I C 2GC TC 6S L G P E = ( Y I N ( 2 J - Y I N ( 1 ) ) /( X IN( 2 )-X IN( 1 ) )P H H A T A N ( S L O P E )IF (*IN<1 ).LT.XIM2)) PHI=PI*AtAN(SLCPE)DC 6 1=1,4'
X I N ( 1 ) = X A * C G S ( P H I ) 4 - Y I N ( I ) * S I M P H I )8 Y l N H ) = - > A * S I N t P H n + Y l N ( I ) * C C S ( P H I )CC DETERMINE THE ELLIPSEC. " ,
IF ( X I N < ^ J . N E . X I M 3 M GO TO 108 = V I K ( 3 )
I f > ( 2 ) )
EC TC 121C S L C P 2 = ( Y 1 N < < » ) - Y I N < 3 ) ) / ( X I N U > - X I N { 3 ) )
IF ( S L O P 2 , L E . 2 e O * Y I N ( 3 ) / X I N ( 3 ) ) GO TC 52
C3^> IN(3)*SLOP2/YIN(3)PHIAE=2.C*ATAN(SCRT((C3-2.0)/C3)a=-MN(31/SIN(PHIAB>B = YIM3»/U.C-COS(PHIAB) )
12
(6,54) A (R,XIM(l) »YlN(l)tPHI,THTMXCCC INITIALIZE THE FIRST POINT CN THE ELLIPSEC14 K=KSTART
YCMK*1)*YIM2)eAFPA(K+;l)=-B/(A**2>
CYCXCKK*] )=C.OKCLNT=KCINT-HT»-E1=-PIC2CSSAVE=CELSDS=CELS/(1.C+.2*TANH(ABS(CAPFA( I ) ) ) )
Th£T = THEUCTHETC'C GENERATE THE POINTS CN THE ELLIPSEC16 K = M1IE -XCN(K+:1)=-/)*COS<THET)
,YCM K+: 1 ) * B * ( 1 .0+ S I N ( THET ) )SCN(K-H)sSCN(K) + SGRT( (XONJK-H ) -XCN ( K) ) **2+ ( YON( K-f 1 ) -YON( K ) )**2 I•IF (ABS(5CN(K-H)-SCN(K) ).GT.1.U5*DS) GC TO 20IF (ABS«5CMK + 1)-SON(K) ).LT..95*DS) GO TC 22GC TC 2«
2C !THET=THET-.G2*DTHETGC TC 18
12 iTHET = THET + .C2*DTHETGC TC 18
24 IF (THET.EC.e.O) GO TO 26DYDXC(K+;i )=B*CCTAN(TFET)/A
GC TC 2P26 CYCXC(K+:i)=S9999.
ALPHAKK+1 )=PI0228 CAPPAs(K+l)=-A*B/(B*B*COS(THET)**2+A*A*SIN<THfm**2)**1.5
CS^DELS/J1.0-«:.2*TANH(A8S{CAPFA( I) ) ) )-IF <A8S<CS-DELS).GT..20*DELS) DS = CFLS + S IGN (. ?0*DELS , OS-DEL S )
3C CThET=DS/SCRT1B*P*COS(THET)**2*A*A*SIN(THET)**2)CTS=GTHETTHET = THE1-«CTHET/2.CCThET=OS/SGRT(R*B*CCS (THET ) **2* A*A*S IN ( THET )**2 )IF (ABS(CT»-ET-DTS).LT..001*OTS) GO TC 32GC TC 3C
32 IF (THET.LE.THETNX-nTHET/2.0) CO TO 16'IF (KOIJNT.GT.ICO) GO TO 44CEL5S-DEISDSTEST=< (XCN(K + 1)-XIM3U**2 + (YON(K+1)-YIN(3) )**2)**.5
•IF < A B S ( C S - C S T E S T 1 . L T . . 0 1 * D S ) GC TCXf < C S T E « T . G T . O S ) GC TO 42<IF ( C S T E ' T . t T . .01*05) GO TO 36 , ;IF ( C S T E < T - . 5 * D S ) 40t34,38
3 4 K = M 1 • . ' " ' • ' • • ' . • ' - : • '3£ X C M K + 1 M X I M 3 )
GC 1C3E C E L S =
IF '(KOUM.GE.1C) C E L S = ( D E L S + CELSS)/2 .0GG 1C 14
4C C E L S = D E L i f C S T E S T / F L O / S T ( K * 2 - K S T A R T )•IF '(KOUNT.GE.10) OELS = (OELS + CELSS) /2.0GC TC 14
42 C E L S = . 8 * C E L SGC 1C 14
44 DELS1^0S*1.2IF (CELS1.C-1.0ELS) DELS1 = DELSWU1E ( 6 , 5 C ) KOUNT'WRITE ( 6 , 6 C ) DELSIN,CELS,DELSl tDSTESTKENC=Kl+l .D E 6 U G ( X C N ( I ) ,YCN( I ) , I=KSTARt tKEND) ,PHI
C RCTATE AND TRANSLATE BACKJ C - :
CC 5C KRGT=KSTAR1,KENO
XCK(KROT)?XA*COS«PHI)-YON«KRCT)*SIN(PHI)+X2
•IF <ALPHMKRCT) .EG.P IC2) GO TO 46C Y D X C C K R C T I ' T A N C ALPHA (KRCTHGC TC 46
46 D Y O X C ( K R C T ) ? 9 9 9 9 ? .48 A L P h A I K R C T ) ? A L P H A ( K R C T ) / P I 0 1 8 05C CONTINUE
RETURN52 WRITE ( f c , 5 6 ) SLGF2 ,XINt 3 ) ,YIM3 )
S T C Pt • •C54 FORMAT UHC t10X,4HA =, !PE10.3t 5X, 4Hfi = 1 1PE10.3,5X, 5HXO =
:13,5X,THYC ^ ,1PE10.3/9X,7HPHI = , 1PE10. 3,5X, 9HTHETMX = , IPE1C.3
2 )56 FORMAT l l lX t I3 ,2Xi ,13HITERATICNS --- )5£ FORMAT UHC,10X,42HCCH6INATICN OF SLOPE, X , Y NOT CPMPATIBLE/5X,9
1HSICPE2 « ,F7.3,3X,9HXIN<3) = , F7.3, 3X ,9HY IN( 3 ) = ,F7.3)6C FCRKAT (11>,10HOELS IN = ,F8.5,3X,7HCELS = , F8.5,3X , 11HOELS OUT =
l t F e , 5 , 3 X , 9 H C S T E S T = ,F8.5)ENC
SIBFTC PPL PS
SUBROUTINE PRELPS (KCDE,KAT,IA,K1,K2)CCM"GN />AIN/ XIM10) , YI N( 10 ) ,-DELSNX , PIC2 , CELS1, IHUBCCWQN /FCR3SS/ I,OELS,XBK(20),YBK(20),XCN(500),YON(500),DYDXO(5Cu1),ALPHA<;CC),CAPPA(5CQ),SON(50Q),PIC18GCCWCN /<PPEP/ KFREPKPREP = l.'IF MKAT.EC.l) GC TC 20KIC=KODE
IF (IA.EC.5) GC TC 2
GC TC 4 .
YC=YIN(5J4 DC 14 IB-1.IA
GO TC (6,8,lC^,12,e,12),KODE
GC TC 14»8 XIN( l8) = >Ih(l)-(XIN(IB)-XlN(l) )
GC TC 141C YIN(IB)=YIN(1)-(YIN(IB)-YIN(1))
GC TC 1412 XIN(IB)=>IMIA)-(XIMIB)-XIN'(IA) )14 GCNTINUE
DEBtGtXIM I 1,1 = 1,IA) ,(YINU ) ,I = 1,IA) ,KOCEIF (KODE.EC.5) GC TO 16iF (KOOE.EC.6) GC TO 18RETURN
16 KCCE=1GC TC 4
16 KOCE=3GC TC 4 .
2C DC 22 IB»K1,K2GC TC (22,24,26,28,22,26),KIC
22 yCN(IB)=YC-(YON(re)-YC)EC TC 3C
24 XCN(I8)=>1-(XON(IB)-X1)GC TC 3C
26 YCN( IB)-Yl-(YONMB)-Yl)CC TC 3C
3C DYOC( IB)=-OYDXO(I8)32 ECNTINUE
DEPUG(XOK( I ),I=K1',K2) ,(YCN(I ) , I =K1 ,K2 ) , K ID,K1 ,K2MF 1KID.EQ.5) GO TO 34:IF '(KID.EG.6) GO TO 36RETLRN
34 MIC=260 TC 2C
36 KIC=4 ,GO TC 2CENC
' $ I6FTC
SUBROUTINE TEST ( I A )/MINX XIM10) tY IN (10 ) tDELSPX,P IC2 ,CELS l , IHUP/ F O R B E S / I , O E L S , X B K ( 2 0 ) ,YBK(20 ) , X C N ( 5 C O ) ,YON( 5 G O ) , D Y D X O ( SCO
l l t H P H A ( ! C C ) , C A P P A < 5 C O ) , SON ( 500 ) ,P 10180/ S P R E P / KPREP
IF (XINm.EQ.XIMl)) GO TO 2SLPl =60 1C
'IF • 1 Y I N ( 2 » . G T . Y I N ( M ) . A N D . X I N ( 2 ) . L T . X I N ( ^ J ) GO TO 1C-IF (XlNm.EC.XIN(MM GO TO 6
'GO TC 8
. .C RC TAT I ON ONLYC '•''8 IF (SUP1.G1.SLP2) RETURNr •C MIRRCR IMC XINU )C1C GALl PREIPS ( 2 t C , I A )
END
»I6F1C SMR CECK,L IS1
MRRCR ( K . Y C L )1CC THIS SUEPGLTINE MRRCRS THE HUB TO O B T A I N THE POINTS ON SHROUDC L S E D FOR 22Y - 2-D INLETSC
COH»CN /FCR3SS/ I .DELS, XBK{20) ,YBK(20) ,XCN(500) fYON( fOO)f OYOXO( 5CO1),ALPHA(5CC)»CAPPA(5CO) tSONJSOO) tPIOlSO:CCf'»»CN /SS/ NBDY1,NBCDY2»TYPPDY|NBCYSDC Z J=1,NBCY1K=M1
Y C M K ) = 2 . C * Y C L - Y C N ( I S T A R )C A F P A ( K ) = - C A P P A ( I S T A P )D Y C X C ( K ) = - C Y O X O < IST/JP)
5 C N ' ( K ) = S C K ( I S T A R )>2 CCMINL'E
-fcRITE (6 ,4 ) YCLRE11RN
C4 F C P K A T (23HHUB MIRRORED INTO Y CENTERLINE = ,F8.3)
iEMC
TC SINTP
" S U B R O U T I N E S I N T P ( Z »K ,N , XI, Y 1)D I K E N S I G I S X ( 2 0 C ) , Y ( 2 0 0 ) » Z ( 200) , V » ( 2 0 0 )CC 2 I = 1 , NX ( I ) = Z < I )
2 Yd ) = W ( I )Call S O R 1 X Y ( X , Y , N )
CDC 4 - I = 1 , N
46
e
IF (X1.G1.X'IF (XI. Et .XI F ( X 1 . L 1 . XCONTINUE'Y 1 = > ( K )GO 1C 1C'IF (K.EC.l)*I F ( K . EG . N )
( I )(I )(i ) :
GOK = l
1 GO1 GC1 GO
TC
TCTCTO
12
468
V 1 = ( X 1 - X < K ) ) * C X 1 - X » K + 1 ) » / ( X ( K - l ) - X ( K ) ) / ( X ( K-l )-X (K + 1« 2 - ( X l - X ( K - l ) ) * ( X l - X ( K + i n / ( X ( K ) - X ( K - l ) ) / ( X ( K ) - X ( K + lW 3 = ( X 1 - X < K - 1 ) ) * ( X 1 - X ( K ) ) / ( X ( K + l ) - X ( ' K - l ) ) / ( X ( K+l ) -X ( K
ic «12 Y 1 = C . O
RE 1 VPNENE
*I8-FK SPRCRC
S.LEPCUTIhE JUPERC ( XPRK , YBRK .ENREEC, CELS 1 ', I S T A R T )DIMENSION X E R K J 5 ) , Y R R M 5 ) , XBKK12) , YBKK12).ECUVALEKCE (N,EM .,R E A L L Q G > C A , L C I G Y C 8 , NCCWCN / < L P F X IFLCCCKKCN / F C R 3 S S / I tDEL S t X 8 K ( 2C ) , YBK ( 2C ) , XGN ( SCO ) , YON< 500 ) t OYDXO ( 5CO
: l ) , / J L P H A ( ? C C ) , C A P P A ( 5 C O ) » S O N ( 5 0 0 ) ,P 10180COFCN /SUPN/ X C A » Y O p i f L C G X O A , L O G Y C RCCfKCN /^HIGH/ N S P H G , N L A S T , X L A S T ( 5 C O ) , Y L « S T ( 5 0 0 >CGf-KCN / !PPEP/ KFREPiIPI=CP I = 2 . 14159265IF ( IFLC. EG. 1) CELSHL=DELS1E E L S I N = D E L S 1C E L S 2 = D E I S 1KCtM=C ,1 1'» I STAR1'IF ( IFLD.GE.l) DS = DELS2KCtM-KOlNl + 11=1 START
DC
COMINLED E R t : G ( X B K l ( J ) V Y B K l ( J ) ,J = 8,12)IF C X B K l « S ) . N - E . X B K l t e ) ) GO TC 8IF i : -YBKH8).LT.YBKl(9) . ) GO TC 6
SINA1D=1.0
C C S « T D = C . CGC TO 14
C C S « T D = C . CGC TG 14S L C P = ( Y e H K < ; ) - Y B K H 8 ) ) / ( X B K l ( 9 J - X B K K 8 ) )
A T C Y C D = S I C P E / P I 0 1 8 0JF ( X B K 1 ( 8 ) - X B K 1 ( 9 ) ) 10,12,12
1C SLCPE=;PHSIOPE- A T C Y C D = - ^ T C Y D OIP 1 = 1
12 « I M A T O = S 1 N ( S I O P E )C C S A T O = C C S ( S L O P E )
14 CONTINUEX B K < e ) = X E K l ( 8 )Y E K m = Y E K l ( 8 )CC 16 J = <:,12>P-XEK)lU)-X8Kim:YP = YBKU. i ) -YBKl (e )• X B K ( J 1 = X E K 1 ( 8 ) + X P * C O S A T D + Y P * S I N A T DYBK ( J ) = Y B K 1 ( 8 ) - X P * S I N A T D + Y P * C O S A T D
16 CONTINUE! > B K { 5 ) = X E K { 8 ); Y B K ( £ ) = Y E K ( 8 )• X B K U ) = X E K ( 9 )
X E K ( < n = X E K ( l C )
CELS=DEL!1D S J A V E = C E L S
E = Y e K ( l l ) - Y B K I 6 )jrCVECA = < > B K ( 1 2 ) - X B K ( l l J ) / ( YBK ( 12 )-YBKMF ( A B S ( 1 C K E G A ) . L E . . C 0 0 1 ) TC»«EGA=0.
* = >C-X8KU1)XIC = X O - X E K ( < 3 )
YC->BK (9)V=E1A9'X=>I5-BCA'=B/A>IF ( E N R E E C ) 18,18,20
IE X C A = X / A-YCP = Y/BICGXCA=AICG(XOA)tGGYCB=AlCG(YOB)CALL FCN1SC (EMGC TC 22
2C tK=ENREED22 BCA1CN=BCA**EN
'IF (KOLIM.KE.1) GC TC 24iWRITE (6 ,114) E N , A , B , X O f Y O , C h < E G A
•24 >I=I• I L G = I
' X C K ( I ) = X C N ( I 1 )C l C N ^ l . / E NB T = E * T O K E G AC X 1 = C E L S * C C S A T DX P = X T M - X E K 1 ( 8 )!VP'a-YlH-YEKK'8.)XI1RCT=XEK1(8)+XP*COSATD+YP*SINATDXIiXC-XllRCT
)
tIF ( X . L T . C . C ) X = C.CU-SON(I-l)
24 X C A T O N = O / A ) * * N•YC8TCN=n/E)**N
FCFY=XOAICK+YOBTCN-I .»IF <ABS(FCFY) .LE .1 .0E-5 ) GO TC 28
? V N E V = Y - F C F V / F P O F VGC 1C 3C
26 "YNEVaY3C IF (ABSO-YNEVM/YNEW-.1E-4) 34,34,32!2 -Y
CC 1C 2C34 »»YNEW
C E L S * = O E L I 2IPNM4F ( X . L T . C . C ) X=C.C
Fl=XCANf J / A
IF (X .EG.C .C) GC TO 38
GC 1C AC36 IF -(EN. EC. 2.) F1CX = 1.0/ ( A * A )
*IF (EN.G1.2.J F1CX=0.0«C 'IF ( Y . E C . C . C ) GC TO 42
F2CY=Y**«EN-2. )/B**E*A2 CEN=F2-F-
:IF (CEN.^E.C.O) GO TC 44
GO TC 46OETOI=-F1/CEN
•IF «X.EC.C.O.OR.Y.EC.O.C).AND.EN.LT.2.) GC TO 48Gl=(EN-l. ) *FIOX*C1^EFTSANC1=DEN*G1
-1. ) *F2CY*OETDX I-G1*TOMEGA )
CAPPA1GC TC 5C
46 C A P P A < IP5C ALPHA! I P M = A T A N ( C Y D X C ( I P N ) ) / P I 0 1 8 0
XCMIPN)»XC-XI*GNHPN)i=Ye-ETADY1= DELS* SI N A T OiF ( IFLC.GE. l ) GO TO 52CS = C E L S / t l . 0 4 . 2 C * T A N M A B S ( C A P P A ( I )GC TC 56
52 -IF ( IFLC.GT. l ) GC TO 54O S - C S - . C f * C S
GC 1C 58 '54 DS'*CS
-IF (CS.GI.CELSHU OS*OELSHLGG 1C 58
56 flF (ABS(CS-DELS).GT..20*D.ELS) DS=DELS+SIGN ( ,20*DELS , OS-DELS )9B »IF (OS.L1..50*DELS2) OS=.50*CELS2
-IF (NSPHC.EC.O) GC TC 60OX1 = A B S < : > L A S T < N L « S T ) - X L A S T ( N L A S T - 1 ) )DX1 1=0X1DYl-ABSmAST<NL/jST)-YLAST(NlAST-lhNtAS:1=NL/»Sl-l » ?
tC 'IF ; IABS(OETDXI)-1.) 70,70,62 :62 OV1=CS/SCRT(1.+1./OETOXI**2) »
IF (NSPHC.NE.O) DYl=CXl ; -
ll)) 66,86,86Cfi E7A-YO-Y1M '
t STRAIGHT SECTION BETVEEN POINTS 11 AND 12 MUST HAVE, SLOPE ABOVE 1c ' „.,., !c - ,:. . .. ' ... "".- ,» '. .';-••" . •.Cr ,H I»AY NCI BE .TESTED AGAINST XBK(ll)
OX1»XTM->CN( I ) A .. CELTAS=SCRTIDY1**2*DX1**2)» . 9 •
>' -IF 1<CELT*S.GT.l.Q2*DS.ANO.lPN.NE.l.AND.NSPHG.EG.U) GO TO 68GC 1C 86
46 CYl*CS*C>il /DELTASCC 1C 64
1C C X l s C S / S C R T ( l . + D E T D X I * * 2 )'IF (NSPKG.NE.O) DX1=CY1 :•
, -IF (NSPHC.KE.O.ANO.IFI.EG.l) DX1=DX11 * '- > T5 XTr=>ON( l )+S IGNtDX l ,CETDXI> ^ ?
'IF MCETOI.EG.C.)'
74 K=)(I>IF ' (X.LT.0.0)
N-1. ) /B**N»OBTCN=«V/B)* *NFOFY=XOA1CN+YOBTOK-1.IF (ABS(FCfYKLE.1.0E-5J GO TO 76,FPOFY=;EN*<YNMOBN-XNKCAN*TOMEGA)
j " G C - T C . 7 8 ' . •It !YN-EK*Y76 IF ( A B S ( Y - Y N E W ) / Y N E W - . l E - 4 ) 82,82,80
•GC 'TC82 ' 'V
X*XI-Y*UI"EGA<YT* = YO-YX I < = X * Y * T C P E G A
: DELTAS=SCRT(DY1**2+DX1**2)IF ( D E L T A S . GT.1.G2*0«. AND. IPN.NE.l.AN'D.NSPHG. EC. C) GO TO 84GC TC 66 &
?8« DX1=CS*D>1 /DELTAS /GC TC 72 ;•'
86 SCN( I1=SCN(I -1) *CSK' CSMCS <
4F (NSPHC.NE.O) CS*DX1; IF ( A B S O T K - Y B K t l l ) ).LT..001*DS) GC TO 90'
•IF (YTM-YBK(11JJ 36t€8,88ee ani-i-i
; GO TO 92
92DC 1C8 J'UC.IHIXP-XON<J]-XBK1(8)YP»YCN(J)-YBK1(8)XCN(J)=XEK1(8»*XP*COSATD-YP*SINATDVC^(J)=YEKH8)*XP*SIN'ATD+YP*CCSATD
: DEL22-DEIS2IF (J.NE.IHI) GO TO 104 'DSTEST=( |XCN(IHI )-X4T ) **2+ ( YCN( IHI J-Y4T )**2 )**. 5IF M40UN1.GT.150) GO TO 104>IF (ABS(CS-CSTEST».LT..1*DS) GO TO 94
: >IF (CSTE5T.LT..01*DS) GO TO 96IF ( IHI.EC.ILOI GC TC 102IF IABS(OELS2-DSTEST).LT..001*DS) GO TO 100'IF (CSTE!T.LT..5*DS) GO TO 1GOIF (CSTEST.C-T..5*CS) GO TO 96
94 4HI-IHI-HI
-SCN-MHI ) « S C N < IHI-D+CSTEST•96
GO TC 1C'96 OELS2=(FICAT(IHI-ILO)*DELS2*CSTEST)/FLOAT( IHI+1-ILO)
IF JKOUM.C-E.IO) DELS2=(DELS2*OEL22)/2.01=110-1GG TC 2
ICO DELS2=DELS2-»DSTEST/FLOAT(IHI-ILO)'IF .'(KOUN1.GE.10) DELS2=(DELS2 + OEL22)/2.04=110-1GG TC 2
1C2 CEtS2=,.e*DELS2
GO TC 2
«IF IABS»ABS(ALPHA(J) )-90. ). LE. l.OE-4 ) GC TC 106J) = TAN(ALPHA(J)*PI0180)
GO TC 10*
1C8 C O N T I N U E•IF i |KOUNl.GT.T50V W R I T E ( 6 t l l 6 ) < X B R K < I ) , Y B R K < I ) , 1 = 1 , 5)DELSl^DS .IF ? ( I F L D . E C . O ) DELS1=1.1*DS ]If (DELS1.GT.OELS2) CELS1=DELS2 ,CO 112 JlILG,IHIIF (J.EC.l) GO TC 11C • i:SCMJt = SCMJ-l)*SQRTMXON(JJ-XON(J-l)l**2+.(YON( J)-YON(J-l) )**2)GO 1C 112
110 30K(J)=C.C11-2 CCMINUE \
WRITE (6,1 181 KOUNTWRITE (6il20) DELSlN,OELS2fOELSl,DSTESTRETURN
C • . . - •c • • ;114 FCRfAT (1X/AXAHN * El6.8f4X4KA = E16.8,7XAH8 = E16.873X5HXO = E16.
1B.2X5HYC . » E16«8,3X8HOMEGA .* E16.8/1X)116 FORMT (1HC,60HTHIS SET OF DATA EXCEEDED 150ITERATIONS CALCULATION
15 S1CPPEC/5X,4HXBRK,5X,4HYBRK/5X,lPlQEiG.3>118 FORMAT (IX.SXiia.^X.iaHITERATIONS---)120 FORMAT «X,10HDELS IK = , F8. 5,3X,7HOELS * , F8.5,3Xf 1 1HDELS OUT = ,
lFe.5t3Xf«HCSTEST = ,F8o5)ENC •
=$IBFTC A R E A A .
'SIBRCUTIKE A R E A ACOfCN ASS/ NBDY1,NBCDY2,TYPEDY,NBCYSCCWCN /FCR3SS/ I .DELS , XBK ( 2C) ,YBK (20 ) t XCN (SCO ) t YQN( 500 ) ,DYOXO< 5«3C1 I, ALPHA (f CO tCAPPA(5CO) , SON (500) ,P 10180CCfFON /KNSD/ NNSCfNSDBOY(lO)
JMAX(2C), JNIN(20)f YLS(20)f YHS(20), AREASI20), YARJ20)
DC 2 J = N E P 1 , N B O D Y 2JJ = JIF ( ) iON(J ) .LT .XCN{ J*l);) GO TC 4
2 CCM1NUE4 W R I T E ( 6 , 2 6 )
'IF (NNSC.EC.C) GC TC 14CC SEARCH FCR MNIHU> AND VAXIFUM X ON EACH NSD ( S P L I T T E R )C
NEsNEODYi+1 .
CO 12 I=ltNNSD•Xf IN=XON(NB)"JMN(I )=^B' X N A X ' X G N ( N E )
NEH=NE-1CG ic J^^B,^E^•lIF (>ON(J l .GT.XF* AX) GO TO 6IF (XONU) .LT .XN 1 IN) GO TC 8GC 1C 1C
GO 1C 1C
1C CCNT.INUEN B = N E - » i lNE=NE+;NSCBCY>( i+i)WRITE ( 6 , 2 6 ) XMIN( ,XHAX,JHIN( I) , J M A X ( I)
12 CONTINUE14 DC 24 J=KBP1,JJ
?IA'»1CALL SIMP ( X C N , V C N , ^ B D Y 1 , X C ^ ( J ) , Y A R ( I A ) )J-IF (NNSD.EC.O) GC TO 18
DC 16 I = 1 , N N S D
•IF i (XONU) .GT .XON. ( JKA) .OR.XGMJ» .LT .XON(JMI ) ) G O T O 16
CALL SINTP (XON(JMA) j YON< JMA ) , JMI-JMA+l',XCN( J ) , Y A R ( IACM
CALL SIMP (XGNIJK.I) ,YON < JMI ) , JEND-JMl+1 ,XGN ( J ) , YAR ( IA))1C CONTINUEIE 'IA*JM1 • • .
Y A J U I A ) = \ C N ( J )
4 R E A - O . CDC- 2C 1 = 1, IA, 2•ISMS+MA R B A £ < r S ) . s ( Y A R ( I + l K * *2 -YAR( I )**2)*PIiAREA = ARE« + A R E A S ( IS)
2C CONTINUE 'A R E A C = A R f A + V A R ( 1 ) * * 2 * P IIF (NNSC.EC.C) GC TO 22W R I T E ( 6 , 3 C ) (AREAS(n , I= l , IS )
2 2 W R I T E ( 6 , 3 2 ) J , X C N ( J » t Y O N ( J ) , Y A R ( 1 ) , f l R E A , A R E A CW R I T E <6 ,3« )
24 CCNTINlJERETIRN ' . ' • • •
C26 F O R M A T (1H1/ /9X,1HI,14X,3HXCN>18X,3HYON,19X,AHYONH,17X,AHAREA,14X,
19HCISC A P E A )26 f C R ^ A T t l H C , 5 X , 7 H X K I N = ,1PE1^. 5 ,5X ,7HXK AX = , 1PEU.5 ,5X ,7HJMIN =
1 , I 6 , 5 X , 7 H J ^ A X = ,16) •3C F C P K A T Ci«>,lPE21.4)22 F C R N A T .({ X , I3-, 1P5E21.A)3* FGR>AT ( 1 H C )
ENC
«f!BFTC NSCRCL
C FIND N FCR THE SLPERCIRCLE F(N) = (X/A )**N -+ ' ( Y/B)**N -r 1 = 0C FRCH X,Y,A,BC
SLBPCUT^E FCNISC (N) . •REAL LOG>CA,LOGYCB.CCKfCN ./StPN/ XCA%YOE,LOGXOA,LOGYOEREAL NM,NfPl,NDATA TGL/.1E-6/IF ( A B S O C A - . 5 ) - . 5 ) 2,4,4
•2 IF {A8SOCe- .5 ) - . 5 ) 6,4,44 W R I T E (6,14) X O A , Y O R6 NK=1.8 •X
FCFN«XOA1CN*YOBTCN'-1.FPCFN=XC/!
•IF (ABS(Kf -NKPl )XNM- lOL) 12,10,101C NK=NKP1
€C TC 812 N»NKP1
RETIRNC ' ' '14 .fCRKAT (1X/1X',41HREQLESTED POINT IS OUTSIDE MAGIC TRIANGLE)
'ENC
*I8F1C SIMC.
CcC JUBRCITINE SIMCCC PLRPCJEt OBTAIN SOLUTION OF A SET CF SIMULTANEOUS LINEAR EQUATIONS,C AX*BC USAGEC CALL SIMC(A,8,NtKS) c,CC DESCRIPTION OF PARAMETERSC A - MATRIX CF COEFFICIENTS STO.RED COLUMNWISE. THESE AREC CESTPOVED IN THE COMPUTATION. THE SIZE OF MATRIX A ISC N BY N.<. a - VECTOR OF ORIGINAL CONSTANTS (LENGTH N». THESE AREc REPLACED BY FINAL SOLUTION VAUUES, VECTOR x.t: N - NUMBER OF EQUATIONS AND VARIABLES. N MUST RE .GT. ONE.t KS - OUTPUT DIGITC 0 FOR A NORMAL SOLUTIONC 1 FOR A SINGULAR SET CF EQUATIONS1CC REMARKSc M A T R I X A MUST BE GENERAL.C IF M A T R I X IS SINGULAR , SOLUTION VALUES ARE MEANINGLESS.t: AN ALTERNATIVE SOLUTION MAY RE OBTAINED BY USIN'G MATRIXC < INVERSION (NINV) AND MATRIX PRODUCT (GMPRD).CC SUBRCITINES AND FUNCTION SUBPROGRAMS REQUIREDC NO^ECC METHCCc METHOD OF SOLUTION is EY ELIMINATION USING LARGEST PIVOTALt DIVISOR. EACH STAGE OF ELIMINATION CONSISTS OF INTERCHANGINGG RCVS WHEN NECESSARY TO AvCID DIVISION BY ZERO CR SMALLC ELEMENTS.C THE FORWARD SOLUTION TO OBTAIN VARIABLE N IS CCNE INC N «TAGES. THE EACK SOLUTION FOR THE OTHER VARIABLES ISC CALCULATED BY SUCCESSIVE SUBSTITUTIONS. FINAL SOLUTIONC VALUES ARE DEVELOPED IN VECTOR B, WITH VARIABLE 1 IN 8(1),C VAPIABLE 2 IN E(2)» t VARIABLE N IN 8<N).C IF NO PIVOT CAN BE FOUND EXCEEDING A TOLERANCE OF 0.0,€ THE MATRIX IS CONSIDERED SINGULAR AND KS IS SET TO 1. THIS1C TOLERANCE CAN BE MODIFIED BY REPLACING THE FIRST STATEMENT.C -CC
SUBROUTINE SIMQ (A,B,N,KS)DIMENSION A (IV, BID
C .C FORWARD SOUUTICN
c1CL*0.0KS=C
DC It J'=
BIC-J-0 ' ' •-IT-JJ-JDC 4 I=J,N . '
cC SEARCt- FOR RAXlMlif* CCEFF ICIENT. IN COLUMNC • • • •
•IF (ABS(EIGfl)-ABS(A(IJ)) )
4 CCMINtEC ' •C TEST FOP PIVCT LESS THAN TOLERANCE (SINGULAR MATRIX)C
IF (ABS(EIGA)-TCL) 6,6,8fc KS»1
ftEURN .C 'C INTERCHANGE RCKS IF N E C E S S A R YC ' ' - . - ' . ' • • •»e iii
^ITCC 1C
S A V E * A U 1 IA ( I 1 ) = A ( 1 2 )• A { I 2 ) = > S A V E
c • . ' " •C CIVICE ECUATICN BY LEADING COEFFICIENTC , .1C !AU1HA<I1) /BIGA
B ( J ) = S A V E / e i G AC •C ELIPIMTE NEXT V A R I A B L EC
«F (J-N) 12,18,1212 ;IGS=t«*(J-l)
CC It IX = .n,N
CC 14 J X = J Y , N
14 iAUXJX)=*UXJX)-<AUXJ)*A(JJX|)16 B(IX)=B( IX)-(B(J)*A(IXJ) )C •C BACK 5CLITIGN
CC 2C J=il,NY
DC 2C K=1,J8(IB)=BJIB)-A(IAI*BUC)
2C 4C-1C-1RETURNEND
EOD
llEFTC EDO
C*CCCCCCC
DECK
** DOUGLAS NEUMANN POTENTIAL FLOW PROGRAM **
* CALCULATION OF POTENTIAL FLOW ABOUT BODIES OFREVOLUTION HAVING FLOWS PARALLEL AND PERPENDICULARTO THE AXIS OF REVOLUTION.
* MAIN PROGRAM
COMMON / NBSAVE / NBCLD, NINNBOLD * 0
COMMON HEDRUO) .CASE1 ,FLG03 ,FLG042 ,FLG08 ,FLG093 ,FLG13 ,FLG144 ,FLG18 ,FLG195 ,FLG23 ,FLG24CCUBLE PRECISION HEDR, CASEINTEGER FLG03 ,FLG04
1 , FLG08 ,FLG092 ,FLG13 ,FLG143 ,FLG18 .FLG194 ,FLG23 ,FLG24COMMON NT ,ND(11)1 ,NER1 ,NER22 ,NUNC(4) ,TYPEC(4)CCMMON IEC, NSIGEC, TYPEEC(4),COMMON /P/ IPUVEL
REAL MN
»NB.FLG05.FLG10,FLG15.FLG20tFLG25
tFLGOS,FLG10fFLG15tFLG20.FLG25,MN,NMA,NLF(11>
NUNECI4)
tNNU,FLG06tFLGll.FLG16,FLG21,FLG26
,FLG06tFLGll,FLG16tFLG21,FLG26.NUNA(A)tNSIGA
10
.FLG07,FLG12,FLG17,FLG22,FLG27
.FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA<4),NSIGC
C***
15
3040
REWIND 13REWIND 12REWIND 4REWIND 3REWIND 8REWIND 9REWIND 10REWIND 11REWIND 15 .REWIND 16 '
CALL PARTI .***PRESCRIBED VORTICITY IMPLIES TRIANGULARIZATION METHOD OF MATRIX***SCLUTIGM (SOLVITIIF(FLG19.GT.O.OR.FLG13.GT.O)GO TO 30CALL PART2GO TO 40 ,CALL PREPCALL PART4GG TO 10END
:> ' :~.'-'".V ••• •-PCHl•, .-. DECK
1 iv/;^-^ v € - :":!••• SUB.ROUTINE PUNCHCCRt JtLOC.CASE)s!-':>;!>•>%:• •'•'<JV\ ' ~ 01$ENSIGN R(400)
.RETURN
;;, • ?;£*;.' '„>;% .B FT.e T i f E x DECK
^ ;V ^ v SUBROUTINE TIMEV(T)CALL TI>EimT=T/3600.RETURNEND
IIBFTC PCH .DECK
SUBROUTINE PUNCHVtAP,J*L,LCC,CASE)DIMENSION AP(500,A), T(5CO)RETURN ,END .
SIB-FTC PAT1 DECK
CCC
CCC
SUBROUTINE PARTI
* CONTROL FOR BASIC DATA AND FORM MATRIX
COPMON / NBSAVE /CCKKON12345DOUBLE PRECINTEGER
1234COMMON12CCKNON TEC,CC^KON /P/REAL
HEORdO,FLG03,FLG08,FLG13,FLG18,FLG23
NECLD, NIN) ,CASE
,FLG04.FLG09,FLG14,FLG19,FLG24
, NB,FLG05,FLG10,FLG15.FLG20,FLG25
,NNU,FLG06,FLG11,FLG16,FLG21,FLG26
ISICN HEDR, CASEFLG03,FLG08,FLG13,FLG18,FLG23NT,NER1,*UNC(4)NSIGEC,IPUVELMN
,FLG04,FLG09,FLG14,FLG19 .,FLG24,NC( 11 ),NER2,TYPEC(4!
TYPEEU41,
,FLG05,FLGIO,FLG15.FLG20,FLG25*MN,NMA
> ,NLF(11)NUNEC(4)
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
,FLG07,FLG12,FLG17tFLG22.FLG27
,FLG07,FLG12,FLG17,FLG22,FLG27
,NSIGC
/CL/ XK500), YK5CO) , X2(500) ,S I N A ( 5 C C ) , C O S A ( 5 0 0 ) , X P ( 5 0 0 ) ,
/TL/ TXK500) , TYK500) , NG(500),1 RSDS(500),DALF(500),SEQ1,2 CHORD, TEMP(600),TCNST,
INTEGER BDN ,SUBKS ,SEQ1REAL MX ,MY ,NG
* START* READ INPUT DATA
Y2(500), DELS(500),YPC500)TG(500), ALFAJ500),SEQ2, NSEQ,DUMMY(A915),SEQ2
100NS£C=0READ (5,4) HEDR CASE, SEQ1, IMD,
FLG07, FLGC8, FLGC9, FLG10,FLG15, FLG16, FLG17, FLG18
FLG24, FLG25,
FLG05,FLG12, FLG13,
C***
C***C***
C***
, , FLG14,FLG20, 'FLG21, FLG22,IPUVEL, NIN,THE DEFAULT
SEQ2SOLUTION
NB, NNU,FLG11,
3 FLG23i FLG24,' FLG25^ FLG26J FLG27,***TRIANGULARIZATION OF THE MATRIX (SOLVIT) IS THEIF(FLG09.EG.O.AND.FLG10.EQ.O)FLG13=1***FLG22 IS GENERATED (RESEP) BOUNDARY CONDITIONS***FLG21 IS EXTRA CRCSS FLOWIF (FLG22.LE.O)GO TO 5FLG21 = 1FLG03 = 1FLG04 =1***IF FLAG 18 IS NOT EQUAL TO FLAG 14 YOU MUST USE DIRECT MATRIXIF (FLG18.NE,FLG14)GO TO 2IF (FLG21.LE.O)GO TO 3FLG12 = 1FLG13 = 1FLG09 = 0FLG10 = 0
C o /
3.'CONTINUE. : .-. 1P( NBGLC .EG. 0 ) NBCLD = NB•£.*.** >**CARDS (UNIT 5) ARE THE DEFAULT METHOD OF INPUT'•.';. % ' IF( NIN .EQ. 0 ) NIN = 5-•''/.V FORMAT ( 10A6, 2X A6, 8X I4/ 2811, 12, 46X, 14 )
•;',* 'I IF -(SEQ2.GE.SEQ1) .GO TO 120511Q WRITE (6,6)
6:FORMAT ( 1HO/38H DATA OUT OF SEQUENCE * SORT ON 77-80 )
SEG1=SEQ2,-..'*,-•••-,;;• READ (5,8) CHORD, MN, TCNST, SEQ2'. X>^ •/.'8 FORMAT ( 3FIO.O, 46X 14 );••• -••YM€,***-:>.'»*.T:HE' DEFAULT CHORD LENGTH IS 1.0
••>• •.:-%.• ,>.•; IF(CHORO.GT.-1.0E-5.ANC.CHORC.LT.1.0E-5)CHORD=1.0' : . :'. IF (SEQ2.LT.SEQ1) GO TO 110
• ...-•'/ '••'•-• " :SEQ1=SEG2-'• ••'•• ,, "• , KRITE (6,12) HEDR, CASE, NB, NNU, CHORD, MN, TCNST
, 12 FORMAT ( IH1 25X, 26HCOUGLAS AIRCRAFT COMPANY /.' I 28X, 21HLONG BEACH DIVISION ///
< .; 2. . 6X, 43HPROGRAM EODA — AXISYMMETRIC AND CROSSFLQW //. r:/ ,,,3 : 11X, 29H***** CASE CONTROL DATA ***** ///. ..4 6X, 10A6, 4X, 10HCASE NO. A6 77
5 6X 9HBOOIES =137 6X 9HNNU =137 6X 9HCHORD =F12.77'"• •••'' 6 6X 9HMACH >C. = F12.87 6X 9HTCNST =F12.7777 )
IF (FLG03.GT.O) WRITE (6,16)16 FORMAT (13X 21HSURFACE OF REVOLUTION )
V' : - IF (FLG04.GT.O) WRITE (6,20). 20 FORMAT (13X 9HCROSSFLOW)
.. IF (FLG05.GT.O) WRITE (6,24)24 FORMAT (13X 15HOFF-BOCY POINTS )
' V'• IF. CFLG06.GT.O! WRITE (6,28):,;;V XV- ^ FORMAT :<13X 15HBASIC CAT A ONLY )
" , " ' ' ' • " IF':fFLG07.GT.O) WRITE (6,32)32 FORMAT (13X 17HELLIPSE GENERATOR )
. IF ,(FLG08.GT.O) WRITE (6,36)'.: 36 FORMAT (13X 14HPRINT MATRICES ); , ,.IF (FLG09.GT.O) WRITE (6,40)
' ' 40'' FORMAT (13X 10HOLD SEICEL )IF (FLG10.GT.O) WRITE (6,44)
• 44 FORMAT(13X,31HMOPIFIEC SEIDEL MATRIX SOLUTION)IF (FLG11.GT.O) WRITE (6,48)
48 FORMAT (13X 18HPERTUR6ATIONS ONLY ).'.'..' . ... • IF :iFLG12.GT.O) WRITE (6,52)- ?• 52. FORMAT (13X 22HSOLVE POTENTIAL MATRIX )
IF (FLG13.GT.O) WRITE .(6,56)•."'..:-' 56-FORM,AT (13X 47HMATRIX SOLUTION BY TRIANGULARIZATION (SOLVIT))
' , IF (FLG14.GT.O) WRITE (6,53)53: FORMAT ( 13X 30HPRESCRIBED TANGENTIAL VELOCITY )
c»..- " IF..i(,FLG18.GT.O) WRITE (6,69)- .:' '.691 FORMAT ( 15X 22HWITH SURFACE VORTICITY )..: ./.. IF (FLG15.GT.O) WRITE (6,54)
54- FORMAT (13X 12HSTRIP VORTEX )IF (FLG16.GT.O) WRITE (6,64)
•-. ••••; ••---. 64 FORMAT (13X 40HOMIT AXI-SYMMETR 1C UNIFORM FLOW SOLUTION )•':-"'; IF (FLG17.GT.O) WRITE (6,68)
• 68 FORMAT (13X 36HOMIT CPOSSFLOW UNIFORM FLOW SOLUTION )
IF (FLG19.GT.O) WRITE (6,7217,2 FORMAT (13X 20HPRESCRIBED VORTICITY)
IF (FLG20.GT.O) WRITE (6,78)78 FORMAT (13X 15HTOTAL VORTICITY )
IF (FLG21.GT.O)WRITE(6,77)77 FORMAT (13X 16HEXTRA CROSS FLOW)
IF(FLG22.GT.O) WRITE(6,81)81 FORMATU3X 82HGENERATED BOUNDARY CONDITIONS FOR 3 AXISYMMETRIC, 1
1CROSS, AND 1 EXTRA CRCSS FLOW.)I'F (FLG19.GT.O) FLG18=1IF (FLG22.GT.O.ANO.NB.NE.2) GO TO 82GO TO 84
82 WRITE(6,83)83 FORMAT (128HO WHEN GENERATED RESEP BOUNDARY CONDITIONS ARE USED.NU
1KBER OF BODIES MUST BE EXACTLY TWO. YOU GOOFED. EXECUTION TERM2INATING.)STOP
84 IF (FLG22.GT.O.AND.NNU.GT.OJGO TO 86GO TO 88
86 WRITE (6,87)87 FORMAT (S8HO GENERATEC RESEP BOUNDARY CONDITIONS CANNOT HAVE NON-U
1NIFGRM FLOW INPUT. EXECUTION TERMINATING.) '88 IF (IPUVEL.NE.O)WRITE (6,73)73 FORMAT (13X 14HPUNCHEC OUTPUT)
WRITE ( 6,75 ) NINIF (FLG18.LE.O.OR.FLG14.GT.O) GO TO 125
75 FORMAT( 13X,58HINPUT TAPE NO. FOR COORDINATES AND NON-UNIFORM FLO~ IK CNLY = , 15 )
WRITE (6,70)70 FORMAT (1HO//63H FLG14 MUST BE USED WITH FLG18 OR FLG19. EXECUTIO
IN TERMINATED. )STOP
125 IF (NNU.LE.O.OR.FLG14.LE.O) GO TO 130WRITE (6,60) 0
60 FORMAT (1HO// 49H COLUMNS 2 AND 14 OF FLAG CARD ARE BOTH NON-ZERO.A / 43H ILLEGAL COMBINATION. EXECUTION TERMINATED. )STOP .
C * READ DATA AND SETUP FOR UNIFORM FLOW130 CALL BASIC1
C.**.* ***NSIGA AND NSIGC ULTIMATELY BECOME THE NUMBER OR RIGHT HAND SIDESC*#* *4*IN AXISYCMETRIC FLOW AND CROSS FLOW RESPECTIVELY
133 NSIGA=0IF (FLG03.GT.O.AND.FLG16.LE.O) NSIGA-1NSIGC=0 'IF (FLG04.GT.O.AND.FLG17.LE.O) NSIGC=1IF (FLG22.GT.O) GO TO 136DC 135 I « 1, 4NUNA(I) => 123456
135 TYPEAU) = 100.GO TO 138***PREPARE NUNA AND TYPEA FCR NON-UNIFORM AXISYMMETRIC FLOW,GENER***(RESEP) BCUNDARY CONDITICNS
136 DO 137 I = 1,3NUNMI) I
137 TYPEA(I) = 100.0138 CONTINUE
*4*IF FLG02 (NON-UNIFORM FLOW) IS NOT CHECKED INITIALLY, THE FLOW '*«*OF CONTROL WILL NEVER REACH BASIC2 • *IF (NNUI 140,150,140
(j * READ DATA AND SETUP FOR NON-UNIFORM FLOW140 CALL BASIC2 • .150 IF (NSEQ) 160,160,110160 REWIND 4
IF (NSIGA.LE.4) GO TO 180 - 017C WRITE (6,74)74 FORMAT (1H1 75HAXI-SYKMETRIC OR CROSSFLOW NON-UNIFORM FLOWS EXCEED
A 4. EXECUTION TERMINATED )STOP
180 IF (NSIGC.GT.4) GC TO 17C 'IF (FLG15.LE.O.OR.FLGC3.GT.O) GO TO 200WRITE 16,190)
190 FORMAT (64H1STRIP RING VORTEX OPTION MUST USE SURFACE OF REVOLUTIOIN OPTION. / 22H EXECUTION TERMINATED. )STOP
2CO IF (FLG15.LE.O) GC TC 230J = 0CO 210 I = 1, NB
210 IF (NLFUt.LE.O) J=J+1IF (NSIGA+J.LE.4) GO TO 230 'WRITE (6,220)
220 FORMAT (68H1GENERATED STRIP VORTEX ONSET FLOWS (ONE FOR EACH LIFTIING BODY) PLUS / 3AH INPUT NON-UNIFORM FLOWS EXCEED A. /2 22HOEXECUTICN TERMINATED. )STOP
230 IF (FLG06.NE.O) GO TO IOCCALL MATRIXRETURNEND .
IIBFTC BASI DECK,DEBUG
CCC
SUBROUTINE BASIC1
CC
* READ DATA AND SETUP FOR UNIFORM FLOW
123A5
COKMONCOMMON
EOUBLEINTEGER
NBSAVE / NBCLOt NINHEOR(IO) ,CASE,FLG03 ,FLGCA
,FLG09tFLGIA,FLG19,FLG2A
HEDR, CASE,FLGOA,FLG09,FLG1A,FLG19,FLG2A
,FLG08,FLG13,FLG18,FLG23
PRECISION
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
iNNUtFLG06,FLGlltFLG16.FLG21,FLG26
FLG031 ,FLG082 ,FLG133 ,FLG18A ,FLG23COKMON NT ,NCI 11)1 tNERl ,NER22 ,NUNC(A) ,TYPEC(ACCKKON IEC, NSIGEC, TYPEEC(A),DIMENSION COSSQRC500), RHS(5COREAL MN
,FLG07,FLG12fFLGl?,FLG22,FLG27
,FLG05,FLG10,FLG15,FLG20,FLG25,MN,NMA,NLF(11)
NUNEC(A)
,FLG06,FLGll,FLG16,FLG2l,FLG26,NUNA(A),NSIGA
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(A|,NSIGC
CCKMON /CL/LCOMMON /TL/12INTEGERREAL
XK500), YK5GO), X2(500),SINA(5CO),COSA(500),XP(500)tTXK500), TYK500), NG(500)tRSOS(50C),CALF(500),SEQ1,CHORDt TEMP(600),TCNST,
BDN tSUBKS tSEQlMX fMY »NG
Y2(500)» OELS(500),YP(500>TG(500)t ALFA(500),SEQ2, NSEQ,DUMMY(A915),SEQ2
* STARTNT=CK=0K2=N8IF( NIN .EQ. 0 ) NIN = 5
IF (FLG05.NE.O) K2=NB+1* MAJOR LOOP * NO. OF BODIES + OFF BODY POINTS
CO 1000 li = l,K2READ (5,15) NN, MX, MY, THETA, AODX, ADDY, SEQ2
15 FORMAT ( 5X 15, 5F10.0, 16X IA)IF (SE02.LT.SEQ1) NSEC=1SEQ1=SEQ2READ (5,16) BDN,SUBKS,NLF(L),XE,YE,SEQ2
16 FORMAT (3(5X,I5),2F10.0,26X IA)IF (SEQ2.LT.SEQ1) NSEG=lSEQ1=SEQ2
***NC(L) IS THE NUMBER OF POINTS ON BODY L, OR THE NUMBER OF OFF
.C*** *«*BGDY PCINTS FOR L = NB + 1
IF (SUBKS) 140,150,140140 IF( t .NE. K2 ) GO TO 148
•-•'.-' NTIMES = NBOLD - NBIF( MTIMES .LE. 0 ) GC TO 14800 145 NSKIPS = 1, NTIMES •
145 READ(13) ( TX K I ) , I = 1 ,NN) , ( T YK I ) , 1 = 1 , NN ),148 READ(13) ( TXKI),I=1,NN), ( TYK I ) , 1 = 1, NN )
GO TO 220,150 IF (BON. EC. 0) GO TO 200
IF (FI.G07) 160,200,160 .C * ELLIPSE GENERATOR FOR XI AND Yl
160 IF (XE.EQ.Q.O) XE=1.IF (YE.EQ.0.0) .YE = 1.EN = M .CGAM=3. 141593 /EN
CO 170 1 = 1, NNT X l ( n = X E * C O S ( G A M )TYK I S = Y E * S I N ( G A M )
170 GAM=GAM-OGAMGO TO 210
C * READ XI AND Yl FROM INPUT CARDS2CO CO 204 1=1, NN, 6
READ(NIN,20)TX1(I ) ,TX 1 ( I-H ) , TX1 ( 1*2 I , TX1 ( 1+3 ) , TX1 ( 1+4) , TX1 ( 1+5 ) ,1 SEQ2
20 FCRKAY ( 6F1C.O, 16X 14); IF (SEQ2.LT.SEQ1) NSEG=1' 204 SEQ1=SEG2
CC 206 1=1, NN, 6 . . .REAC(NIN,2G)TY1U),TY1( I -M). , TYK 1+2 ), TYK 1 + 3 ), TYK 1+4 ), TYK 1+5) ,
1 SEQ2IF (SIEQ2.LT.SEQ1) NSEG=1
• 2C6 SEG1=SEQ2C * S A V E XI ANC Yl FOR SUBCASE
210 W R I T E (13) ( T X K I ) , I = 1 , N N ) , ( TYK I ) ,I = 1 , N N )C * BASIC DATA CALC. AND PRINT ( UNTRANSFORMED COORDINATES)
220 WRITE (6,24) HEDR, NN, MX, MY, THETA, ADDX, AODY, XE , YE24 FORMAT ( 1H1 25X 26HCCUGLAS AIRCRAFT COMPANY /
1 28X 21HLCNG BEACH DIVISION /// 5X 10A6 //: 2 8X 4HNN = 14, 15X 4HMX = F13.7, 4X 4HMY = F13.7 /
3 5X 7HTHETA = F13.7, 4X 6HADDX = F13.7, 2X 6HADDY =F13.7/4 8X 4HXE = F13.7, 6X 4HYE = F13.7 )IF (BDN) 240,230,240
.230 WRITE (6,28) (i; TXKI), TYKI), 1=1, NN)28 FORMAT ( 1HC 4X 36HOFF-BODY COORDINATES (UNTRANSFORMED) //
1 10X 5HX-OFF 9X 5HY-OFF // ( 1H 13, 2F14.7))GO TO 270
240 SUMS=0.0CC 25D 1=1, MTl = TXl(I41)-TXKI)T2=TYKI41)-TYKI) .X 2 ( I ) M T X K I + D + T X K I »/2.Y2( I) =(TYKl*l)+TYK I ) )/2.
250
260
36
AC
27C2802903CO310320330340
) * 57.29578
35036037038C390ACOA10A20A30
AAOA5CA60
A7C,
CELS(1)=SQRT(T1*T1+T2*T2)SUMS=SUMS + DELSU)RSOS(I )=SUMSALFA( I ) = ATAN2I T2, Tl )MA=M-lCC 260 1=1, MADALFm =f ( ALFA( I+1 ) -ALFA( I )WRITE (6,36) BON,TXl( l ) ,TYKl) ,X2m,Y2( l ) ,OELS(l ) ,RSDSmFORMAT ( 1HO AX 35HON-BOCY COORDINATES (UNTRANSFORMED) /
1 9H BODY NO. I3// 11X 2H X 13X 1HY 11X 7HDELTA S 7X2 5HSUMDS 8X 7HD ALPHA // 1H 3H 1,2F1A.7 / AX AF1A.7)
KRITE (6,40) ti, TX1U), TYKI ) , DALF( 1-1 ) , X2( I ) , Y2( I ) ,1 DELSII), RSDSU), 1=2, M) , NN, TXKNNJ, TYKNN)
FORHAT ( 1H 13, 2F14.7, 28X F14.7 / AX AF1A.7I* ADJUST COORDINATES (TRANSFORMED)
IF (MX) 280,300,280GO 290 I=?1,NNTX1( I )=TX1( I ) *MXIF (MY) 310,330,310CO 320 I=il,NNTY1(I)=TY1(I)*MYIF (THETA) 3AO,360,3ACTHETA = THETA / 57.29578CSTHT = CCS(THETA)SNTHT = SIN(THETA)CO 350 I=*1,NNT1=TX1(I)TX1(I)=T1*CSTHT+TYHI)*SNTFTTY1(I)=TY1(I)*CSTHT-T1*SNTHTIF (AODX) 370,390,370CC 380 1*1, NNTX1UMTX1U ) + ADDXIF (ADDY) AOO,A20,AOODC A10 I=sl,NNTY1( I )=TY1( I KADDYIF (CHORD .EQ. 1.0DO AAO I=il, NNTX1(I I=TX1(I ) /CHORDTY1(I)=TY1(I )/CHORDIF (MN) A60,A75,A60SRM=SQRT<1.-MN*MN)CC A70 Ifl.NN
, TX1( I )=TX1U) /SRM* SHIFT XI
4«*IF BDN = 0.0, OFFIF (BDN) 500,A80,500CO A90 I=»1,NNXPdl-TXKI)YP( I ) = TYimW R I T E (12) ( X P ( I ) , I = 1 , N N ) , ( Y P ( I ) , I = 1 , N N )GO TO 1000
, CC 510 I = U , N N
,OR. CHORD .EQ. 0.0 )GO TO A50
AND Yl TO COMMON /CL/BCDY POINTS ARE BEING OPERATED ON
A75A80
A90
SCO,
Xl(K)-TXlCI)51C Y1(K)=TY1(I)
NT=NT+M
LI
LOCO
1025
105C
CONTINUEREWIND 13 e
IF (FLG14.LE.O) GO TO 2000IF (FLG14.LE.NB) GO TG 1050WRITE (6,1025)FGRKAT (45H1VALUE OF FLG14 EXCEEDSSTOPIF (FLG14.KE.NB) GO TC 1075
NO. OF BODIES. STOP. )
M = Nl*NDfK)-lCO 2AOO J =
GO TO 1150 ,1075 L = NB-FLG14
CO 1100 I = 1, L***NMA BECOMES THE NUMBER OF ELEMENTS ON THE 1ST L BODIES (IE THOSE***NGT HAVING AN INPUT VORTICITY OR VELOCITY)
11CO ^MA = NMA + ND(I)C*** *«*NR BECOMES THE NUMBER OF ELEMENTS RECEIVING AN INPUT VORTICITYC*** *«*CR VELOCITY1150 NR = NT-NMA
IF (TCNST.GT.O.)GO TO 2CCOCO 1200 I = 1,NR,6READ (5,20) TGU ),TG( 1 + 1 ),TG (1+2) ,TG( 1 + 3) ,TGU+4) ,TG< I + 5),SEQ2IF fSEQ2.LT.SEQl) NSEC=1
12CO SEQ1=SEQ2C * CALC. PARAMETERS WITH TRANSFORMED COORDINATES ANDC MACH NC. ADJUSTMENT .20CO M=0
Jl=0CO 2500 K=1,NB
0T1 = XHJ1 + 1)-X1(J1) «T2 = Y1! J1 + D-YKJ1)X2( J)~(X1( J1+1J+XKJ1) )/2.
DELS (,)) = SORT (T1*T1+T2*T2)CCSA(J)=T1/DELS(J)
2400 SINA(.I)=T2/DELS'()J)2500 J1=J1^1 . .
C * SAVE PARAMETERSWRITE (12) (X1U),I=1,J1),(Y1( I),I = 1,J1),(X2(I ),!=!,NT)1 ,(Y2(I),I=l,NT),(DELSm,I=l,NT)REWIND 12 .
C * SAVE SINA AND CCSA ON TAPE 4 FOR CALC. OF MATRIXC SOLUTION (RIGHT HAND MATRIX)
WRITE (4) (SINA(I),1=1,NT),(COSA(I),I=1,NT)IF ( I:LG14) 2600,2600,2550 0
255C IF (TCNST.GT.0.0) WRITE(4) (TCNST,1=1,NR)IF (TCNST.LE.O.) WRITE(4) (TG(I), 1=1,NR)
2600 IF (FLG22.LE.O) RETURN a
NPB1 == ND(1) - 1CO 2700 I = 1.NPB1 ^COSSQIUI1 = COSA(I)**2 V
2700 RHS(I) = 2.0 * ABS( SINA(I) * COSA(I) )WRITEI4) ( COSSQR(I),I = 1,NPB1), (RHSdlti = 1.NPB1)RETURNEND
.0
IIBFTC BAS2 DECK
CSUBROUTINE BASIC2
CC * READ DATAC
COMMONCCMMON
123A5DOUBLEINTEGER
123ACCMMON
12CCMMONREAL
AND SETUP FOR NON-UNIFORM FLOWS
/ NBSAVE / NBCLO, NINHEDR(IO),FLG03,FLG08,FLG13,FLG18,FLG23
,CASE,FLGOA,FLG09.FLG1A,FLG19,FLG24
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
,NNU,FLG06,FLG11,FLG16,FLG21,FLG26
PRECISION HEDR, CASEFLG03,FLG08,FLG13.FLG18,FLG23NT,NER1,NUNC(4)
IEC, NSIGEC,MN
,FLG04,FLG09,FLG14,FLG19,FLG24,NC( 11,NER2,TYPEC
TYPEEC(4
,FLG05,FLG10,FLG15,FLG20,FLG25
) ,MN,NMA
(A) ,NLF(11»), NUNEC(A)
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA<A),NSIGA
CCC
COMMON /CL/LCOMMON /TL/
12INTEGERREAL
XK500), YK5CO), X2(500),SINA(500),COSA(500),XP(500),TXK500)f TYK500), NG(500),RSDS(500 )tCALF(500),SEQ1,CHORD, TEMP(600),TCNST,
BON ,SEQ1 ,SEQ2MX ,MY »NG
STARTSETS OF NCN-UMFORM FLOW LOOP
NSIGEC = 0
,FLG07,FLG12,FLG1»7,FLG22,FLG27
,FLGOi7
,FLG17.FLG22,FLG27,TYPEA(4).NSIGC
Y2(500), DELS(SOO),YP(500)TG(500), ALFA(500»,SEQ2, NSEQ,DUMMY(A915)
KC*0KEC = 0IF( NIN .EC. 0 ) MN = 5
CO 1000 L=1,NNUREAD (5,20) NUN,MSF,TYPE,FG,SEQ2
20 FORMAT ( 2(5X 15), 2F10.0, 36X 14 )IF (SEQ2.LT.SEQ1) NSEC=1SEQ1=SEC2IF (MSF.EC.1.0R.MSF.EC.2.0R.MSF.EQ.5) GO TO 30KAsKA+1NSIGA=NSIGA+1NUNA(KA)=NUNTVPEA(KAJ=TYPE
3C IF (MSF.EG.0.OR.MSF.EC.2.OR.MSF.EQ.4) GO TO 35
KC=KC+1 ' 0NSIGC=NSIGC+1
v KUNC(KC)=NUN4 TYPEC(KC)=TYPE35*I:F (HSF.LT.2.0R.MSF.EC.3) GO TO 40
KEC = KEC +1{ KSIGEC = NSIGEC +1 . "4 MJNEC(KEC) = NUN1 TYPEEC(KEC) = TYPE40 IF (TYPE) 50,70,70
* COMPUTED TYPE5|D CO 60 1 = 1,NT¥ NG(I) = Y2U)60 TG(I)=FG-X2(I)
GO TO 110 .• * (X,Y) OR (N,T) TYPE * READ INPUT
7C EC 90 1 = 1,NT,6READ(NIN,80)NG(I),NG( 1 + 1 ),NG(1+2),NG(1 + 3),NG(1+4),NG<1+5),SEQ2
80 FORHAT ( 6F10.0, 16X 14)IF (SEQ2.LT.SEQ1) NSEC=1
90 SEG1=SEQ2EO 100 I=?1,NT,6READ(NIN,80)TG(I),TG(I+1),TG(I+2),TG(I+3),TG(I+4),TG(I+5),SEQ2IF (SEQ2.LT.SEQ1) NSEC=1
ICC SEQ1=SEQ2110 IF (TYPE) 120,140,120 |)120 EC 130 I = 1, NT •
A Tl-NG(I)I NG(I)= T1*SINA(I)-TG(I)*COSA(I)
130 4G(I)= Tl*COSA< I)+TG(I)*SINA(I)f. * WRITE BASIC DATA OUTPUT .
' 140 WRITE (6,150) HEDR.MSF, TYPE, FG, NUN, (NGU), 1 = 1, NT)150 FORMAT ( 1H1 25X 26HDCUGLAS AIRCRAFT COMPANY /I 1 28X, 21HLONG BEACH DIVISION /// 5X 10A6 //•I 2 6X 5HMSF = 14, 10X 6HTYPE = F10.4, 10X 4HFG = F13.7 /
3 1HO, 4X, 20HNCN-UMFORM FLOW NO.16 /4 1HO, 4X, 10HLIST OF NG// (1H 6F14.7))
,? WRITE (6,160) (TG(I), I = 1, NT)1 60 FORMAT (1HO 4X 10HLIST OF TG // ( 1H 6F14.7H| WRITE (4) MSF,fNGM) ,1=1,NT), (TGII), 1 = 1,NT)
10CO CONTINUE .RETURNEND
70
MATRX CECK,DEBUG
SUBROUTINE MATRIXCCC
CCC
C***
C.***C***
* COMPUTE MATRIX A,6,Z OR X,Y,Z
COMMON12345DOUBLE PRECINTEGER
1234COMMON12COMMON IEC,REALLOGICAL PF
HEDR(IO),FLG03,FLG08,FLG13,FLG18,FLG23
,CASE,FLG04,FLG09,FLG14,FLG19,FLG24
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
,NNU•FLG06,FLG11,FLG16,FLG21,FLG26
,FLG07,FLG12,FLG17,FLG22.FLG27
I SIGN HEOR, CASEFLG03, FLG08,FLG13,FLG18,FLG23NT,NER1,NUNC(4)NSIGEC,MN
,FLG04,FLG09,FLG14,FLG19,FLG24,NC( 11),NER2,TYPEC(4
TYPEEC(4),
,FLG05,FLG10,FLG15,FLG20,FLG25, MN, NMA
) ,NLF(11)NUNEC(4)
.FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(4),NSIGC
CGPMON /ECF/ ECX(500)f ECY{500), ECZtSOO)COMMON /CL/
LCOMMON /TL/123
XK500), YK500), X2(500),SINA(5CC),COSA(500),XP(500),A(500), B(50C), AX(500)tCX(500), CY(500), CZ(500),VN(500,4),VT(500,4),BON,I, Jt Jl,OX, CY, NI,
Y2(500), DELS(500),YP(500)AYJ500), AZ(500),AXV(500),AYV(500),YZERO, IAC,SJf OS,XJ, YJ,
XK, EEK, EKK, PF
c***
1015
* START* INITIALIZE
L1=NTBON=0.0YZERO=0.0***TEST TYPE OF FLOW AND SET INDICATORS IAC AND IEC***CROSS FLOW ONLY***AXISYMMETRIC FLOW ONLY***EXTRA CROSS FLOW CNLY***CROSS FLOW AND AXISYMMETRIC FLOW***CROSS FLOW AND EXTRA CROSS FLOWH***AXISYMMETRIC AND EXTRA CROSS FLOW***AXISYMMETRIC,IF(FLG03J30,10,30IF(FLG04125,15,25IAC = 0
CROSS, AND EXTRA
IACIACIACIACIACIACSS
= -1= +1= 0= 0= -1= +1IAC=0
IECIECIECIECIECIECIEC
-
-1-10-1
+ 1
6
CCC
25
3035
40
IEC = 0GO TO 55IAC = -1GO TO 45IF(FLG04)3IAC = 0GC TO 45IAC = 1
5,40,35
45 IF(FLG21)50,53,5050
5355
60
65
IEC = +1GC TO 55IEC = -1ASSIGN 110IF CFLG15.CO 65 I =;!CC 65 J =?VN(I,J) =;VT(I,J) *
*CO 400 1-1
*
Jl=0M=CCC HO K=?l
TO KlGT.O) ASSIGN 102 TC Kl,L11, NB .0. '0. .
I MIDPOINT LCOP,L1
J ELEMENT LOCPJl IS THE COORDINATE COUNTERJ IS THE ELEFENT COUNTER
0
,NB\)
M = N1*NDCK)-1CO 100 J-M1.N1
PF = FLG18.GT.O.AND.J.GT.NMA.OR.FLG20.GT.OC * COMPUTE X,Y,Z MATRICES
CALL XYZICC CONTINUE
GO TO Kl, (102,110)102 IF (NLF(K).GT.O) GO TC 110
IF (BON.EC.O.) GO TO 105CC 103 J = HI, NlVN(I,K) =• VNU,K) + AXV( J)
103 VT(I,K) = VT(I,K)+AYV(J)GC TO 110
1C5 CC 106 J = Ml, NlVN(I,K) = VN(I,K) +AXV(J)*SINA( I) - AYV(J)*COSA(I)
106 VT(I,K) ^ VT(I,K> +AXV(J)*COSA(I) * AYV(J)*SINA<I)110 J1 = J1«-1
IF (BON) 120,210,120C * SAVE X,Y,Z CN TAPE *OFF BODY POINTS
***SAVE X,Y,Z ON TAPE * OFF BODY POINTS***AXISYKHETRIC FLOW * TAPE 9***CROSS FLOW * TAPE 10
C4** ***EXTRA CROSS FLOW * TAPE 8120 IF(IEC.EQ.-1)GO TO 125122 WRITE(8) (ECX(J),J=1,NT), (ECY(J),J=1,NT), (ECZ(J),J=l,NT)
IF (IEC) 125,400,125125 IF(IAC) 140,130,130130 WRITE (91 (AX(J),J = 1,NT) ,(AY(J),J=l,NT),(AZ(J),J = 1,NT)
IF (IAC) 400,140,400140 WRITE' (10) (CX(J),J=1,NT),(CY(J),J=1,NT),(CZ(J),J=1,NT)
GO TO 400C«,«* ***SAVE CN TAPE * ON BODY
***AXISY^METRIC FLOW * TAPE 9***CROSS FLOW * TAPE 10***EXTRA CROSS FLOW * TAPE 8***IEC = -1 MEANS NO EXTRA CROSS FLOW
210 IF (IEC.EC..-1) GO TO 24022C CO 230 J = 1,NT
A(J) = -ECX(J) * SINA(I)230 B(J) = ECX(J) * COSA(I)
WRITE (81 IA(J)tJ-lfNT),
* COSA(I)SINA(I),NT), (ECZ(J),J=l,NT)
240250
260
270310
320
400
C**#
500
600
7CO«CC
* E,CY(J)E C Y ( J )
(B(J ) ,J=IF ( IEC ) 240,400,240IF ( IAC) 310,250,250CO 260 J=1,NTA ( J ) = - A X ( J ) * S I N A ( I ) > A Y ( J ) *COSA( I )B ( J ) = A X ( J ) * C O S A ( I ) + A Y ( J ) « S I N A ( I)WRITE (9) (A(J),J=1,NT),(B(J),J=1,NT),(AZ(J),J=1,NT)IF (IAC) 400,310,400CO 320 J=il,NTA(J)=-CX(J)*SINA(II+CY(J)*COSA(I)B(J)=CX(J)*COSA(I)+CY(J)*SINA(I)WRITE (10) (A(J),J=1,NT),(B(J),J=l,NT),(CZ(J),J=1,NT)CONTINUEIF (FLG15.LE.O) GO TC 1400IF (BON.NE.O.) GO TO 1200
*«*ON BODYREAD (4)IF (NNU.LE.O) GO TO 600CO 500 I - 1, NNUREAD (4) MSF,(A(J),J=1,NT),(B(J),J=1,NT)WRITE (3) KSF,(A(J),J=1,NT),(B(J),J=l,NT)REWIND 3REWIND 4READ (4)K=NSIGA-1IF (FLG16.GT.1) N=NSIGA**N = 0 KEANS 1 RHS ONLY NO NON-UNIFORM FLOWIF (N.EC.O) GO TO 800CO 700 I = 1, NREAD (3) MSF,IA(J),J*1,NT),(B(J),J=1,NT)
MSF,(A(J),J=1,NT),(B(J),J=1,NT)
CO 900 J = 1, NBIF (NLF(J).GT.O)NSIC-A=NSIGA-H
9CC
1000
GO TC 900
WRITE (4) f,(VN(I,J),I=l,NT),(VT(I,J),I=l,NT)CONTINUEK=NSIGC-1IF (FLG17.GT.O) M=NSIGCIF (M.LE.O) GO TO 1100CG 1000 I = 1, MREAD (3) MSF,(A(J),J=1,NT),(B(J),J=1,NT)KRITE (4) KSFt(A(J)»J-1,NT)»(B(J),J=i,NT)
"73
1100 REWIND 3GC5 TO 1400
C*J»* >M*OFF BODY1200 CO 1300 J = it NB
IF (NLF(J).GT.O) GO TC 1300MRITE(4) (VNUtJ)t I = ItLl),
1300 CONTINUEC * TEST IF OFF BODY COMPLETEDC * TEST IF OFF BODY14CC IF {FLG05.EQ.O.CR.BON.NE.O.) GC
C * INITIAL FOR OFF BCDYBCN=1.L1=ND<NB+1)CO 1500 I = It LIX2(I) = XP(I>
1500 Y2( 1} = YP(I>GO TO 60
1600 REWIND 9REWIND 8REWIND 10REWIND 4RETURNEND
TO 1600* THEN RE-ENTER I,J LOOPS
$IBFTC XYZ CECK, DEBUG
CSUBROUTINE XYZ
CC * CONTROL FCR X,Y,Z MATRICES COMPUTATIONC
CCMMON12345 'DOUBLE PRECINTEGER
1234CCMMON
, I2CCMMON IEC,REALLOGICAL PF
w
HEDR(IO),FLG03fFLGOS,FLG13,FLG18,FLG23
,CASE,FLG04,FLG09,FLG14,FLG19,FLG24
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
,NNU,FLG06,FLG11,FLG16,FLG21,FLG26
C
,FLG07,FLG12,FLG17,FLG22,FLG27
ISION HBCR, CASEFLG03,FLG08,FLG13,FLG18,FLG23NT,NER1,NUNC(4)NSIGEC,MN
,FLG04,FLG09,FLG14,FLG19,FLG24,NC( 11),NER2,TYPEC(4
TYPEEC14),
,FLG05,FLG10,FLG15,FLG20,FLG25,MN,NMA
) ,NLF(11)NUNECC4)
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(4),NSIGC
»
C0
CC
CCHHON /CL/
COMMON /TL/
XK500), YK5CO), X2(500),SINA(500),COSA(500).XP(500),A(500), BJ500), AX(500),CX(500)t CY(5CO), CZ(500),VN(500t4),VT(5CO,4)tBON,I* Jf JitOX, CY, NI,XK, EEK EKK,
Y2(500Kf OELS(SOO)YP(500)AY(500)» AZ(500)tAXV(500),AYV«500),YZERO, IAC,SJ, OS,XJ, YJ,Kf PF „
* STARTIF (BON) ICO.lOflOO
10 IF (J-I) 110,20,110* J EQUAL I PATH
20 T1=.5*DELS(J)SJ=T1/Y2IJ)IF (SJ-.08) 30,30,40 '
30 CALL XYZ1GC TO 1000
40 SJ=.08 .CALL XYZ1NI = 33T2=.08*Y2{J)CS=(Tl-T2)/32.OX=DS*COSA(J)CY=CS*SINA(J)XJ = X2(J)-tT2*CCSA(J)-DX
-75"
4 YJ=Y2CJ)4T2*SINA(J)-OYCALL XYZ2 'IGO TO 300
C * INITIAL Y COORDINATE MID-POINT FOR ZERO TESTICO YZERO=Y2tI>-.CC0001
C * J NOT EQUAL I PATHC - * COMPUTE MINIMUM DISTANCE TO I MIDPOINT
110 D1=(X2(1)-X1(J1) )**2+(Y2(I)-Yl(Jl))**2E2=(X2(I)-X2(J))**2+<Y2<I)-Y2<J))**2C3=(X2(I»-X1UH-1))**2+(Y2(I )-YKJl + l))**2IF (D1-D2) 130tl30,12C
120 IF (D2-D3) 150,150,140130 IF (Dl-03) 160,160,140140 CM=SQRT(D3)
GO TO 170150 DM=SQRT(D2)
GG TO 170160 CM=SORT(DU
C * COMPUTE NC. OF INTERVALS(NI) AND DELTA S (OS)C. FOR SIMPSON RULE INTEGRATION
170 IF (OM.EQ.0.0) GO TO 200NI=8.*DELS<J)/DM+0.9IF (Nl) 180,180,190
180 M = 3CS=OELS(J)/2.GO TO 220
190 M = NI«-NI ,IF (NI-128) 210,200,200
2CC M = 12<)CS=OEt.S(J)/128.C-C TO 220
210 XNI=NI .CS=DELS«J)/XNIM=NI-H
220 CX=DS*COSA(J)CY=DS*SINA(J)
3CO XJ=X1(J11-CXYJ=Y1(J11-CYCALL XYZ2
1000 RETURNEND
o
flBFTC XYZ1 DECK,DEBUG
SUBROUTINE XYZ1ccc
Ccc
COMPUTE X,Y,Z MATRICES FOR SJ LESS THAN OR EQUAL .08
12345
1234
12
COMMON0
CCUBLEINTEGER
COMMON
COMMONCOMMONREALLOGICAL
t. ,
ttt
HEDR( 10)FLG03FLG08FLG13FLG18FLG23
tt*,*t
PRECISION HEOP,
ttii
tt
rec,/ECF/
PF
FLG03FLG08FLG13FLG18FLG23NTNER1NUNC(4)
ttt,,t,t
CASEFLG04FLG09FLG14FLG19FLG24CASEFLG04FLG09FLG14FLG19FLG24NC(ll)NER2TYPECU
NSIGEC, TYPEECU),ECXC500),
MNECY(5CO
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
,FLG05,FLG10,FLG15,FLG20,FLG25,MN,NMA
) ,NLF(11)NUNEC(4)), ECZtSOO)
tNNU,FLG06,FLG11,FLG16,FLG21,FLG26
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
t,tt
FLG07FLG12FLG17FLG22 •,FLG27
,,t,,tt
FLG07FLG12FLG17FLG22FLG27TYPEA(4)NSIGC
COKKCN /CL/L
C O M M O N /-TL/12345
XH500), YK500), X2(500),SINA(500>,COSA(500),XP(500),AJ500), ° B(50C)t AX(500),CX(500), CY(500)f CZC500),VN(500,4),VT(5CO,4),BON,I, J, Jl,DX, CY, NI,XK, EEK, EKK,
Y2(500), OELS(SOO),YP(500)AY(500)t AZ(500)tAXV(500),AYV(500),YZERO, IAC,SJ, OS,XJ, YJ,K, PF
* START* INITIALIZE
T1=SJ*SJT2=ALOG(SJ/8.)T3=SINA(J)*SINA(J)
T5=. 6666667 *T3T6*T5*T3
T9=6. 283185 *COSA(J)T10=6. 283185 *SINA(J)T11=T1*SJT14 = .3332333 * (16.0 + 6.0 * T3) + 2.0 * T2IF (IEC.EC.-1I GO TO 15***EXTRA CROSS FLOW 1ST TERM OF X(I,I), Yd, I), Z(I,I)
10 ECXU) = 6.283185 * *SINA<J) °+ 2.0 * SINA(J) * COSA(J) * SJECY(J| =-6.283185 * CCSA(J) + SJ * T14ECZ(J) = -8.0 * (1.666667 + T2) * SJIf (IEC) 15,'1000,15
15 IF(PF) GC TO 25 ,IF (IAC) 30,20,20
: * AXIS FLOW20 AX(J) = T10 + SINA<J)*COSMJ)*<T7+(T4+2.166667
AY(J)=T7*TA-T9-(l.+T2-T3-T6)*Tll/8.T12=T1*T1AZ(J)=Y2( J)*T8*(1.-T2-»T1*(2.-T12+3.*T2*(1.
25 IF (IAC) 30,30,100: * CROSS FLOW
30 T13=Tl/16.CX(J)=T10+2.*SINA(J)*SJ*COSA(J)*(1.-T13*(3.-T5+T2*T2))CY<JI=-T9+T7*(2.+T4+T13*(1.-A.777778 *T3+T6+T2*(3.-2.666667 >1 T3)))CZ<J)=-T8*(1.+T2-T13*<1.111111 *T3+T2*(T5-1.)))
ICO IF (PF) GO TO 200IF {FLG15.LE.O.OR.NLF(K) .GT.C) GO TO 1000
200 AXV(J) = T9+T7*IT2-T3)+Tll*(T2*(12.*T3-9.)1 -9. + 23.*T3 - 6.*T3*T3) / 72.AYV(J) = T10 + 2.*COSA(J)*SINA(J)*(SJ-Tll*(6.*T2+9.-2.*T3)M8.IF (.NOT.PF) GO TO 10COAX(J) = AXV(J» ' .AY(J) = AYV(J)
1000 RETURNEND
$IBFTC XYZ2 DEBUG, DECK
CSUBROUTINE XYZ2
CC * COMPUTE XC
COMMON12345DOUBLEINTEGER
1234COMMON
12COMMONCOMMONREAL
HEOR(IO),FLG03,FLG08,FLG13,FLG18,FLG23
0
,Y,Z MATRICES USING SIMPSON RULE 1
,CASE,FLG04,FLG09,FLG14,FLG19,FLG24
,NB,FLG05,FLG10,FLG15,FLG20.FLG25
,NNU.FLG06,FLG11,FLG16,FLG21,FLG26
INTEGRATION
,FLG07,FLG12,FLG17,FLG22,FLG27
PRECISION HEDR, CASEFLG03,FLG08,FLG13,FLG18,FLG23NT,NER1,NUNC(4)
IEC, NSIGEC,/ECF/ ECX(500
MN
,FLG04. ,FLG09
,FLG14,FLG19,FLG24,ND( 11 ),NER2,TYPEC(4
TYPEEC14),), ECY(500
,FLG05,FLG10,FLG15,FLG20 0,.FLG25,, MN,NMA
) ,NLF(11)NUNEC(4)), ECZ(SOO)
0
,FLG06,FLGll,FLG16,FLG21,FLG26,NUNA(4),NSIGA
J
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(4),NSIGC
CCC
LOGICAL PF
COMMON /CL/
COMMON /TL/123
XK500), YK500), X2(500), Y2C500),SINA(500),COSA(500),XP(500), 5YP(500)A(500), 6(500), AX(500), AY(500),CX(SOO), CY(5CO), CZ(500), AXV(SOO)VN(500,4),VT(5CO,A),BON, YZERO,I, J, JL, SJ,OX, CY, NI, XJ,XK, EEK, EKK, K,
DELS(500),
AZ(500),,AYV(500),
IAC,OS,YJ,PF
* START* INITIALIZE
DEBUG NI,I,DX,OY,YJ,X2(I),XJ,Y2(I)ASSIGN 570 TO KlIF (FLG15.LE.O.OR.NLF(K).GT.C) GO TO 15
10 ASSIGN 420 TO Kl .15 S2=.6666667 *OS 0
SI = .3333333 * OSS3 = 8.0/3.0 * SIS5 = .3333333 * SISA = S2+S2T1=Y2(I)*Y2(I)ASSIGN 28 TO K2ASSIGN 410 TO K3ASSIGN 570 TO K4IF (eNOT.PF) GO TO 16
0
"79
ASSIGN 110 TO K2ASSIGN 420 TO K3ASSIGN 560 TO K4
* NO. OF INTERVAL LOOP16 CO 1000 IS=1,NI
XJ=XJ+DXYJ=YJ*DY • ,T2=YJ*YJT3=X2(I)-XJT4=T3*T3T5*(Y2<n+YJ)**2T6=T4+T5T7=SQRT(T6)T8=T2+T4IF(T8.EO.O.) T8=l.E-6T9=(Y2(I)-YJ)**2T10=T9+T4T21 = SQRT( Tl / T8 )
* COMPUTE ELLIPIC INTEGRALXK=4.*YJ*Y2(IJ/T6CALL ELIPIF ( IEC ) 18,575,18
18 IF (IAC) 200,20,20- * AXIS FLOW \ •
20 T11=YJ/T7IF ( T21.LT.0.01) GO TO 24T12 = YJ/Y2U)FV2 = <EKK+EEK*(T1-T8)/T10)/T7FV3 = Y2(II/T10 * T3/T7 * EEKFl = FV3*T12F2 = FV2*T12FVA = FV2*T3/Y2( I) '.F3=T11*EKKGO TO 26
24 FV2 =0.FV3 = 0.FV4 =0.***SMALL Y FORMULAS AXISYMMETRIC FLOWT23 = Tl / T8**2T24 = 2.0 * T4 - T2Fl = < ( 1.570796 * YJ * T3 ) / ( T8**l.5 ) ) *
1 ( 1.0 •* ( .75 * ( 3.0 * T2 - 2.0 * T4 ) * T23 ) )F2 = ( 1.570796 * YJ * Y2(I ) ) * ( T24 / (T8**2.5 ) )F3 = 1.570796 * YJ * ( 1.0+ (.25 * T23 * (-T24) ) ) / SQRT(T8 I
26 CONTINUEGO TC K2,(28,110)
* SIMPSON RULE INTEGRATION28 IF (IS-11 30,30,40 .
* FIRST PASS30 AXS=F1
AYS=F2AZS=F3IA=0GO TC 110
4C IF US-NI) 50,80,505C IF <IA) 70,60,70
* EVEN PASS60 AXS=AXS*4.*F1
AYS=AYS+4.*F2AZS=AZS+4.*F3IA=1GO TO 110
* OCD PASS70 AXS=AXS+F1+F1
AYS=AYS+F2+F2AZS=AZS+F3+F3IA=0GO TO 110
* LAST PASS80 IF (J-I) 1CO,90,10090 IF .{BON.NE.0.0) GC TC 100
AX(J)=AX(J)-S4*(AXS+Fi)AY(J)=AY(J)-S2*<AYS+F2)AZ(J)=AZ(J)+S4*(AZS+F3)GO TO 110
ICO AX(J)=-S4*(AXS+F1)AY(J)=-S2*(AYS+F2>AZ(J)=S4*(AZS+F3)
110 IF (IAC) 200,200,400* CROSS FLOK
200 IF <T21.LT.0.04) GC TC 220T12 = Tl + T8Fl=T3/Y2tI)*(EKK-EEK*T12/T10)/T7F2=(EEK*(T8*T8+T1*(T4-T2))/T10-EKK*T8)/T1/T7F3=T7*(EKK*T12/T6-EEK)/T1GO TO 230***SMALL Y FORMULAS * CROSS FLOW
220 T23 = Tl / T8**2T29 * ( 1.570796 * T2 ) / ( T8**1.5 )T26 = 4.0 * T4 - T2T31 = T26 * T23Fl = ( (-4.712389) * T2 * T3 * Y2CI) ) / ( T8**2.5F2 = T29 * ( 1.0 - (1.125 * T31 ) )F3 = T29 * ( 1.0 - (.375 * T31) )
C * SIMPSON RULE INTEGRATION230 IF (IS-11 240,240,250
C * FIRST PASS240 CXS=F1
CYS=F2CZS=F3ic=o • • : ' • • 'GO TCI 400
250 IF (ES-NI) 260,290,260260 IF (1C) 280,270,280
C * EVEN PASS270 CXS=CXS+4.*F1
CYS=CYS*4.*F2CZS=CZS+4.*F3rc=iGO TO 400
C * OCD PASS280 CXS=CXS+F1+F1
CYS=CYS4F2+F2CZS=CZS+F3+F3IC=0GC TQ 400
C * LAST PASS290 IF (J-I) 310,300,310300 IF (BON.NE.0.0) GO TO 310
CM J)=CX( J)+S2*(CXS+F1)CY(J)=CY<J)+S2*(CYS+F2)CZ(J)=CZ(J)+S2*(CZS+F3)GC TO AGO
310 CXU)'=S2*(CXS + F1)CY(J)=S2*(CYS+F2)CZ(J)=S2*(CZS+F3)
AGO GO TO K3,(410,420)410 GC TO Kl, (57C,420)
C*** ***FLOW OF CCNTROL REAChES HERE FOR (PF=TRUE) OR ( (FLG15 GT 0 ANDC*** ***NLF LE 0 (LIFTING BODY)) AND (I NE J ON BODY OR ANY OFF BODY) )
420 FV1 = (T2-TD/T7 * EEK/T10IF (IS.GT.l) GO TC 440
C * FIRST PASSAX1 = FV1AX2 = FV2AY1 = FV3AY2 = FV4IV=0GC TO 570
440 IF (IS.EQ.NI) GO TO SCOIF ( IV) 460,450,460
C * EVEN PASS450 AX1 = AX1+4.*FV1
AX2 = AX2+4.*FV2AY1 = AY1+4.*FV3AY2 = AY2+4.*FV4IV = 1GC TO 570
C * OCD PASS .-460 AX1 = AX1 + FV1 + FV1 . /
AX2 = AX2+FV2+FV2AY1 = AY1+FV3+FV3AY2 = AY2*FV4+FV4IV = 0GO TO 570 '
C * LAST PASSSCO IF (J-I) 540,520,540520 IF (BON.NE.O.) GO TO 540
AXV(J) = AXV(J) - S4*(AX1+FV1) - S2*(AX2+FV2)AYV(J) * AYV(J) - S4*(AY1+FV3) + S2*(AY2+FV4)GO TO 550
540 AXV(J) = -S4*(AX1+FV1) -S2*(AX2+FV2)AYV(J) = -S4*(AY1*FV3) +S2*(AY2+FV4)
»55C GC TO K4,(560,570)C,*#* ***FLOW OF CCNTROL REACHES HERE IF PF IS TRUE
560 AX(J) = AXV(J)AY(J1 = AYV(J)
570 IF (IEC.EG.-1) GO TO 1000
575 IF (T21.LT.0.08)GO TO 595580 T20 = SQRT( T2 / (Tl + T4) )
IF (T20.LT.0.01) GO TC 590T13 « YJ * Y2(I)**3T14 * Tl + T8T15 = T2 * TlT16 = T14 * T14T17 = Tl * YJT18 = Tl * TlT19 = T8 * T8F3 = .< T7/T13 ) * ( (-T14) * EEK + ( (Fl =(T3 / (T17 *T7 )•.)'.» ( (EEK / TIO )
I (T14 * EKK) )TEMPI =<(-8.0*T8**3) - ( 12.0*T1*T19) * (26.0*T15*T8)
I + (2.0*T18*(2.0*T1 -5.0*T2) ))* EEK/T10TEMP2 = EKK * ( (8.0*T19) * (4.0*T1*T8) - t2.0*T15) -F2 = (TEMPI + TEMP2) / ( T13 * T7)GC TO 630***SMALL YJ FORMULAS *
T25 = YJ»*3T30 = T4 + TlT27 = T30**3.5T28 = T25 * Y2mFl = ( 2.945243 * T25 * T:F2 = 7.068584 * T28 * ( 3,
(T16 - T15) * EKK)* (T16 - 3.0 * T15)
/ T6
C***590
C *.* *595
C***630
C***640
650660
C***670
C***680
C»*»69C
7CO
71C
10CO
EXTRft CROSS FLOW
* T1) ,0 * Tl5 )
T272.0
EXTRA CROSS FLOW
T3 * TlY2(I) )
/ ( T8**3.5(T8**2.5)
F? = 1.747146 * T28 /(T3C**2GC TO 630>**SMALL V FORMULAS *T25 = YJ**3Fl = i 2.945243 * T25 *F? = ( (-14.13717) * T25 *F3 = -F2 / 8.0***SIMP3CN'S RULE
IF (IS - 1) 640,640,650»**FIRST PASS
ECXS = FlECYS = F2 . .ECZS = F3IE = 0GO TO '1000IF (IS - M) 660,690,660IF ( IE ) 680,670,680»**EVEN PASS
ECXS = ECXS * 4.0 * FlECYS = ECYS + 4.0 * F2ECZS = ECZS + 4.0 * F3IE = IGC TO 1000I*»OOD PASS
ECXS = ECXS + F.I + FlECYS = ECYS + F2 * F2ECZS = ECZS * F3 + F3IE = 0GO TO 1000***LAST PASS
IF(J - I! 710,700,710
»**I=J . * ELEMENTS ON MAIN DIAGONALIF (BON.ME.0.0) GO TC 710ECX(J) = EECY<J) = EECZ(J» = ECZ(J)GC TO 1000«**OFF MAIN OIAGCNAL CR OFF BODY POINTS
ECX(J) ? -S4ECY(J) = -S5ECZ(J) = S3CONTINUERETLRNEND
* T4 ) / T27
J)J)J)
01**V
-54 *' -S5 •-*•+ S3 «
AGCNAL( ECXS( ECYS( ECZS
( EC X S( ECYS( ECZS
CR OFF+ Fl )+ F2 ).+ F3 )
*' Fl+ F2* F3
BODY
IIBFTC EL IP DECK
SUBROUTINE EUPCCC
CC
* HASTINGS APPROXIMATION FOR ELLIPTIC INTERGALS
,NB,FLG05,FLG10.FLG15,FLG20,FLG25
,FLG05,FLG10,FLG15,FLG20,FLG25
COMMON123A5DOUBLE PR ECINTEGER
123ACOKHON12CCKPON IEC,REALLOGICAL PF
HEDRUO),FLG03,FLG08,FLG13,FLG18,FLG23
,CASE,FLGOA,FLG09,FLGiA,FLG19,FLG2A
ISION HEDR, CASEFLG03,FLG08,FLG13,FLG18,FLG23NT
,NER1,NUNC(A)NSIGEC,MN
,FLGOA,FLG09,FLG1A,FLG19,FLG2A,NC( 11,NER2,TYPEC
TYPEECtA
)
CGMMON /CL/
CtKHON /TL/123A5
,NMA(A) ,NLF(11)), NUNEC(A)
XK500I, YK5CO), X2<500),SINA15QO ),COSA(500),XP(500),AtSOO), 8(500), AX(500),CX(500), CY1500), CZ(500),VN(500,A),VT(5CO,A),BON,I, J, JitDX, CYt NI,XK, EEK, EKK,
,NNU,FLGC6,FLG11,FLG16,FLG21,FLG26
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(A),NSIGA
.FLG07,FLG12,FLG17,FLG22,FLG27
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(A),NSIGC
Y2(500), OELS(500)YP(500)AY«500)t AZ(500),AXV(500),AYV(500),YZERO, IAC,SJ, OS,XJ, YJ,K, PF
* STARTETA = 1. - XKIF <ETA) 20,20,AO
20 WRITE (6»30> ETA30 FORKAT ( 1H1 36H *** ERRCR IN SUBROUTINE ELIP * ETA= F15.8 )
WRITE(6,800) I, XJ,DX,YJ,DY,X2( I),Y2(I»,XK8CC FORMATdH ,I5,7F15.6)
ETA = O.OCOC05AO ELN=ALOG(ETA)
EKK = 1.38629AEO(.3590092E-1.1A51196E-1
123A.
) I ) - ELNETA * (.68802A9E-1 +.AA17870E-2 )»)
EEK = 1. + ETA * (.AA3251AEO1 (.A75738AE-12 (.2A99837EO3 (.A069698E-1RETURNEND
ETA * (.96663AAE-1 + ETA *ETA * (.37A256AE-1 * ETA *
* (.5 + ETA * (.12A9859EO +ETA * (.3328355E-1 + ETA *
+ ETA * (.6260601E-1 ETA *ETA * .1736506E-1
ETA * (.9200180E-1ETA * .526AA96E-2
))) - ELN * (ETA *+ ETA *
$Ifi.FTG PAT2 DECK
CCC
SUBROUTINE PART2
* COMPUTE SGURCE DENSITY SIGMA BY SIEDEL ITERATION
C
C
CC
COMMON1 ,2 ,3 ,4 ,5 ,DOUBLE PRECIINTEGER
1 ,23 ,4 ,COMMON1 ,2 ,COMMON IEC,REAL
CCMMON /C2/
DIMENSION
HEDR(IO)FLG03FLG08FLG13FLG18FLG23SION HECRFLG03FLG08FLG13FLG18FLG23NTNER1NUNC(4)
.CASE
.FLG04
.FLG09
.FLG14
.FLG19
.FLG24
. CASE
.FLG04
.FLG09
.FLG14
.FLG19
.FLG24,NC( 11 ),NER2,TYPEC(4)
NSIGEC, TYPEEC(4),MN
A(500) .
ASIG150C
R<50C,4
,4), CS
,NB,FLG05tFLGlO,FLG15.FLG20,FLG25
,FLG05, FLGIO,FLG15,FLG20,FLG25,MN,NMAtNLF(ll)
NUNEC(4)
), NSIG,
IG(500,4),
,NNU,FLG06,FLG11.FLG16.FLG21,FLG26
,FLG06,FLG11,FLG16,FLG21,FLG26.NUNA(4)•NSIGA
.IT
T(500
.FLG07,FLG12.FLG17,FLG22.FLG27
.FLG07,FLG12,FLG17,FLG22.FLG27,TYPEA(4),NSIGC
)
* STARTIP (FLG03.EQ.O) GO TC 10CO
* AXIS FLOWL=0READ 14) (T(I),I=1,NT)IF (FLG16.NE.O) GO TO 200
CO 100 I = It NTICC RH,L) = T(I)2CO IF (NNU) 600,600.3003CO CO 500 J = It NNU
* READ NGN-UNIFORM NO * SKIP TOREAC (4) KS, (T(I),I-1,NT)IF (MS.EQ.i) GO TO 500
DO 400 I = It NT400 RII.L) = TU )500 CONTINUE600 REWIND 4
IT = 9NSIG = NSIGA
* SOLVE SIMULTANEOUS EQUATIONS FOR SIGMASCALL MISNA2 (ASIG)REWIND 9IF (FLG04.GT.O) GO TO 10CO
* WRITE SIGMAS GN TAPE 3CO 700 J * It NSIGA
700 KRITE (3) (ASIGU.J), I = 1. NT)
RETURNI * CROSS FLOW10CO L = 0 f
READ (A) <T(I),1=1,NT),<TU),1 = 1,NT)IF (FLG17.NE.O) GO TC 1200L = L+l :
CO 1100 I = 1, ,NT1100 R(I,L) = -T(I)1200 IF:(NNU) 1600,1600,130013CO CO 1500 J = 1, NNU
READ (4) *S,mtI),I=l,NT)IF (-MS.LE.O) GO TO 15COL = ';L + 1 . ' ' - ••••••.-" '"CO 1400 I = 1, NT
1ACO R<lVL) = T(IJ n1500 CONTINUE t '~'-< -'[16CC REWIND A '
'-IT' =10.,NSIG = NSIGC .
I " " ,,. * SOLVE SIMULTANEOUS EQUATIONS'CALL MISNA? (CSIGIREWIND 10 . :
IF (FLG03.LE.O) GO TC 1675I * WRITE SIGNAS ON TAPE 3
CC 1650 J = 1, NSIGA1650 WRITE (3) (ASIG(I,J)fI=ltNT)1675 CO 1700 J= lf NSIGC1700 WRITE (3) (CSIG(I,J),1=1,NT)
RETURN ,END
FOR SIGMAS
flBFTC MISN DECK
SUBROUTINE MISNA2 (SIG)ccc
*
COMMON12345
SOLVE LINEAR SIMULTANEOUS EQUATIONS BY SEIDEL ITERATION
HEDR(IO),FLG03,FLG08,FLG13,FLG18,FLG23
CCU6LE PRECISION HEDR
C
C
CCC
INTEGER1234COMMON
12REAL
CGMfON /C2/
DIMENSION
**
FLG03,FLG08 •,FLG13,FLG18,FLG23NT,NER1,NUNC(4)MN
A(500I ,
SIG(500,
STARTINITIALIZE
,CASE,FLGC4,FLG09,FLG14,FLG19, FLG24, CASE,FLG04,FLG09,FLG14,FLG19,FLG24,NC(11),NER2,TYPEC(4)
R(500,4)
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
,FLG05,FLG10,FLG15,FLG20,FLG25,MN,NMA, NLF(ll)
, NSIG,
,NNU,FLG06,FLG11.FLG16,FLG21,FLG26
,FLG06.FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
, IT
4), KFLAG(4), DSIGK4), DSIG(
,FLG07,FLG12,FLG17,FLG22,FLG27
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(4),NSIGC
500,4)
10 KTU=0ITER=0NCONV'OCO 20 J=1,NSIGKFLAG(J)=0CC 20 1=1,NT
20 SIGd,J) = O.G30 CG 35 1=1,NSIG35 ESIGl(I)=0.0
* COMPUTE SICMA AND DELTA SIGMACO 300 1=51,NTIF (NTU-3) 40,100,110.
40 IF (FLG12.NE.O) GO TO 60* PLACE A IN LEFT SIDE MATRIX
IF (IT.EG.10) GO TO 5C-READ (9) (A(L),L=1,NT)GO TO 80
50 READ (10) (A(L),L=1,NT)GO TO 80
* PLACE PHI IN LEFT SIDE MATRIX60 IF (IT.EQ.10) GO TO 70
READ (9) (A(L),L=1,NT),(A(L),L=1,NT),(A(L),L=1,NT)
GO TO 8070 READ (10) <A(L),L=l,NT),(A(L),L=l,NT)f<A(L),L=i,NT)
* SAVE LEFT SIDE MATRIX80 WRITE (3) (A(L),L=1,NT> ,
WRITE (II) (A(L),L=1,KT)GO TO 200
* READ LEFT SIDE MATRIXICO READ (3) (A(L),L=1,NT)
GO TO 200110 READ (11) (A(L),L=l,NT)200 CO 300 J=?1,NSIG .
IF (KFLAG(J).NE.O) GO TO 300SUM=0.0CO 210 L=?1,NT
210 SUM=SUM+A(L)*SIG(L,J)CSIGU,J) = (R(ItJ)-SUM)/A(I )IF (FLG09.NE.O)' GO TC 220 ;SIG(I,J)=;SIG(I,J)+DSIG(I,J)
220 IF (ABS(DSIGUtJ) ).GT.OSIG1( J)) DSIG1(J ) = ABS(OSIG(I,J))3CC CONTINUE
IF (FLGC9.LE.O) GO TO 320 '. •CO 310 J=?1,NSIGCC 310 I=?l,Nf ,
31C SIG(I,JI=fSIG(ItJ)+OSIG(I,J)* TEST FOR SOLUTION . .
320 REWIND 3REWIND 11ITEPMTER + 1CO 400 J=1,NSIGIF (KFLAG(J).NE.O) GO TO 400IF (DSIGKJJ.GE.l.E-6) GO TO 400KFLAG1J)=iITERNCONV=NCCNV+1IF (NCCNV.EQ.NSIG) GC TO 600
4CC CONTINUE .IF ( ITER.EC.100) GO TC 6COIF (NTU.EG.3) GO TO SCO .NTU=3 •GG TO 30
50C NTU=11 •GC TO 30
* PRINT NO. OF ITERATIONS6CO CC 800 J=1,NSIG .
IF (KFLAG(Jl.NE.O) GO TO 700 ,WRITE (6,610)
610 FORMAT (1HO 7X 36H NO CONVERGENCE AFTER 100 ITERATIONS )GO TO 800
7CO WRITE (6,710) KFLAG(J) .710 FORMAT (1HO 5X 15,IX 36H ITERATIONS REQUIRED FOR CONVERGENCE )80C CONTINUE
RETURNEND
SIBFTC PREP DECK
C **SUBROUTINE PREP
* PREPARE TAPES 3 ANDCCNPON/SPACER/WKAREA(160CO)DIMENSION TEMPJ5CA), Y2150G)
11 FOR USE BY LINK 5 (MATSOL)
CCKfON123A5CCUBLE PRECINTEGER
123ACGK^ON
12CCKHON I EC,REAL
HEDR(IO),FLG03, FLG08,FLG13.FLG18,FLG23
,CASE, FLGOA,FLG09,FLG1A,FLG19,FLG2A
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
ISION HEDR, CASEFLG03, FLG08,FLG13,FLG18,FLG23NT .,NER1,NUNC(A)NSIGEC,MN
,FLGCA,FLG09,FLG1A,FLG19,FLG2A,ND( 11),NER2,TYPEC<A;
TYPEEC(A),
,FLG05,FLG10,FLG15,FLG20,FLG25,MN,NMA
I ,NLF(11)NUNEC(A)
,NNU,FLG06tFLGll,FLG16,FLG21,FLG26
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(A),NSIGA
,FLG07,FLG12,FLG17,FLG22,FLG27
»FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(4),NSIGC
C***C ** *C***C***C***C***
MSMSMSMSMSMS
FLOWQ.O)
= 0= 1= 2= 3= A
.= 5MS
) GO= 6
TO
C **
1C2030
DIMENSION COSSQRC500), RHS(SOO)CIMENSICN A(50A),R(500,A),FF(500),T(500)DATA FCURPI/12.56637C6/***AXISYf»METRIC FLOW CNLY***CROSS FLOW ONLY***EXTRA CROSS FLOW CNLY***AXISYfNETRIC AND CRCSS FLOW***AXISYMMETRIC AND EXTRA CROSS FLOW***CROSS AND EXTRA CRCSS FLCW***AXISY*PETRIC,CROSS, AND EXTRA CROSSIF(FLG12.EQ.O.OR.(FLG04.EQ.O.AND.FLG21.EQ.Q)IF (FLG05.EQ.OJ GO TC A***SKIP CFF BODY COORDINATES
REAO(12)NI=NT+NBREACI12) (TEMP(I),I = 1, NI ), ( TEMP( I ) , I = l-.NI),1 (TEMP(I)tl = It NT), (Y2(I),I = ItNT)REWIND 12REWIND 3IF (FLG03) 5,800,5
* PREPARE AXISYfMETRIC MATRIX TAPE (3)IF (FLG19.GT.O) GO TC 20COIF I FLG22.GT.O) GO TC 255K = 0L = NT+NSIGAREAD (A) (A(I),I=l,NT),(FF(I),I=ltNT)IF (FLG16.NE.O) GO TC 20K = K+lCC 10 I =? 1, NTRU,K) = A(I )IF (NNU) 60,60,30CC 50 J = 1, NNU . •READ (A) PSt(A(It,I»l,KT)
IF (MS.EQ.1.0R.MS.EQ.2.0R.MS.EC.5) GO TO 50K = K+lCO 40 I = 1, NT
40 Rd,K) = Ad ).50 CGNTINUE60 IF (FLG14.LE.O) GO TG 290
NR= NMA+1READ (4) (Rd,l), I=NP,NT)REWIND 4 • 'CG 220 I = NR, NT
220 R(I,1) = Rdtll-FFd )IF (FLG14.EQ.NB) GO TC 245CO 240 1 = 1 , NMAREAD (9) (A(J),J=1,NT)A(NT+1) = Rd,l)
240 WRITE (3) (A(J),J=1,L)245 CO 250 I = NR, NT
READ (9) (A(J),J=1,NT),(A(J),J=1,NT)A(NT+1) =i Rd,l)
250 WRITE (3} (A(J),J=1,L)CCC
PRESCRIBED TANGENTIAL VELOCITY
C.***C***C***
255
INPUT TO SOLVIT ON TAPE 3OUTPUT FROM SOLVIT ON TAPE 3
TAPES 1 AND 2 ARE SCRATCH TAPESCALL SOLVIT(WKAREA,NT,NSIGA,16000,3,1,2,3,+9010)REWIND 9GO TO 800***AXISYVMETRIC FLOW * GENERATED (RESEP) BOUNDARY CONDITIONS
C,***C***
***NPB1 = THE NUMBER OF ELEMENTS***NPB2 = THE NUMBER OF ELEMENTS
NPB1 = ND(1) - 1NPB2 = ND<2) - 1NSIGA = 3NSIGC = 1NSIGEC = 1L = NT + NSIGA***L IS THE TOTAL WICTH***RIGHT HAND SIDES
READ (4)
ONON
BODYBODY
CF THE MATRIX FOR AXISYMMETRIC FLOW INCL
260
265290
REAO(4)REWINDCO 260Rd,l)Rd,2)R ( I ,3 )NBEGINNENO =CO 265Rd.l)R( I , 2 )Rd,3)REWINDASSIGN
( COSSQRd4I = 1.NPB1= 0.0= 1.0= COSSQRd)= NPB1 + 1NPB1 + NPB2I = NBEGIN,= 1.0= 0.0= 0.04400 TO M
> » ' I -
NENC
1,NPB1), (RHSd)tl = 1,NPB1 )
300
IF (FLG12.NE.O) ASSIGN 3CO TO MCO 700 I = 1, NTGO TO M, (300,400)READ (9) (A(J),J=l,NT),(A(J),J=l,NT),(A(J)tJ= 1,NT)
GO TO 500400 BEAD (9) (A(J),J=1,NT)SCO CO 600 J = It NSIGA
K = NT+J6CO A(K) = R(I,J)7CO WRITE (3) (A(J),J=1,L)
CCC
CC
AXISY^KETRIC FLOW INPUT TO SOLVIT ONOUTPUT FROM SOLVITTAPES
TAPE 3ON TAPE
TAPES 1 AND 2 ARE SCRATCALL SOLVIT(WKAREA,NT,NSIGA,16000,3,1,2,3,+9020)REWIND 9
** * PREPARE CRCSSFLCW MATRIX TAPE (11)** * SKIP SINA * READ COSA8CO IF (FLG04.EC.O) GC TC 1610
K = 0L = NT+NSIGCIF (FLG22.GT.O) GO TO 910READ (4) (A(I), 1 = 1,NT),(A(I),1 = 1,NT)
, IF (FLG17.NE.O) GO TO 820K = K + lCC 810 I = 1, NT
810 R(I,K) = A(I)820 IF (NNU) 900,900,83083C CO 850 J = 1, KNU
READ (4) MS,(AU),1=1,NT) ,IF ( MS.EQ.O.OR.MS.EC.2.GR.MS.EQ.4) GO TO 850K = K+lCC 840 I = I, NT
840 RU,K) = -A(I)850 CONTINUE9CC REWIND 4
GC TO 1000***CROSS FLOW * GENERATED (RESEP) BOUNDARY CONDITIONS
910 CC 920 I = 1,NPB192C R(I,1) = -RHS(I) .
CC 930 I = NBEGIN.NENC930 R(I,1) = 0.0
10CO ASSIGN 1300 TO M .IF (FLG12.NE.O) ASSIGN 1200 TO MCO 1600 I = 1, NTGO TO M, (1200,1300)
12CO READ (10) (A(J),J=1,NT),(A(J),J=1,NT),(A{J),J=l,NT)C>** ***FORM PHI MATRIX FROM THETA (CROSS FLOW) MATRIX
CO 1250 J = 1,NT1250 A(J) = Y2(I) * A(J) . •
GC TO 140013CC READ (10) (A(J),J=1,NT)14CC CO 1500 J = 1, NSIGC
K = NT+J15CC A(K) =-R(I,J)16CC WRITE (11) (A(J),J=1,L)
C CROSS FLOW INPUT TC SOLVIT ON TAPE 11C OUTPUT FROM SOLVIT ON TAPE 3C TAPES 1 AND 2 ARE SCRATCH TAPES
CALL SOLVIT(WKAREA,NT,NSIGC,16000,11,1,2,3,+9030)REWIND 10
, EQ.O.AND.FLG22.EQ.Q)RETURN
C***C***
GO TC 1800FLOW *WITH SINES
NCN-UNIFORMAND COSINES
TC 1650
FLOW ONLY
GENERATED (RESEP) BOUNDARY CONDITIONS
MATRIX
1610 CONTINUE***EXTRA CROSS FLOW
REWIND 11IF (FLG21K = 0L = NT + NSIGECIF (FLG22.GT.O)***EXTRA CRCSS***SKIP RECORD
READ (4)CO 1650 J=1,NNUREAD(4) MS, (A(I),I=1,NT)IF (MS.LT.2.0R.MS.EQ.3) GOK = K* 1CO 1640 I = 1,NT
1640 Rtl.K) = A(I)1650 CONTINUE
GC TO 1900;,*** ***EXTRA CROSS FLOW *18CO DO 1820 I = 1.NPB11820 R(I,1) = CGSS6RU)
CO 1840 I = NBEGIN.NENC184C R(I,1) = 0.019CO REWIND 4
***M IS 1920 * SCLVE A MATRIXASSIGN 1920 TO M***M IS 1940 * SCLVE POTENTIALIF (FLG12.NE.OASSIGN 1940 TC MCO 1980 I = I,NTGC TO M, (1920,1940)***SOLVE A MATRIX
192C READ (8) (A(J),J =1,NT)GO TO 1960 . , ' ..
1940 REAC (8) (A(J),J=1,NT),(A(J),J=1,NT),(A(J),J=1,NT)C##* ***FQRM PHI MATRIX FROM THETA (EXTRA CROSS FLOW) MATRIX
CO 1950 J = 1,NT1950 A(J) = Y2( I) * A(J) / 2.CI960 CO 1970 J = 1,NSIGEC
K = NT + J1970 A(K) = R(I,J)1980 WRITE (11) (A(J),J=1,L)
***EXTRA CROSS FLOW INPUT TO SOLVIT ON TAPE 11***OUTPUT FROM SCLVIT ON TAPE 3
O#* ***TAPES 1 AND 2 ARE SCRATCH TAPESCALL SOLVIT (WKAREA,NT,NSIGEC,16COO,11,1,2,3,+9040)REWIND 8REWIND 11RETURN
2000 KR = NT-KMAL = NMA+1READ (4) (RU,U,I = 1,NKA)READ (4) (FF(I),I=1,NR)CO 2100 I = 1, NR
21CC FF(I) = FF(I)/FOURPIEACKSPACE 4 ^WRITE (4) (FF(I),I=1,NR)
9/
2200
23CC
REWIND 4CC 2300 I = 1,READ (9) (A(J),J=l,NfA),(T(J),J=1,NR)CC 2200 J = 1, NRRU.l) = R(I,D- T<J)*FF(J|ML I = R(I,1)V.RITE <3) <A(J),J = 1,L)
90CC9CC1
C PRESCRIBED VCRTICITY INPUT FOR SOLVIT ON TAPE 3C CUTPUT FROM SOLVIT ON TAPE 3C TAPES 1 AND 2 ARE SCRATCK TAPES
CALL SOLVmWKAREA,NKA,L - Kf A , 16000, 3, 1, 2 ,3 , *9000 )REWIND 9GC TO 800V.RITE(6,900i)FOPMAT(61H NICT ENCUGh SPACE RESERVED IN SOLVIT FOR PRESCRIBED VORT
1ICITY)GC TO 9080
9010 URITE(6,9011)9011 FORKAT171H NCT ENCUGh SPACE RESERVED IN SOLVIT FOR PRESCRIBED TANG
1ENTIAL VELCCITY)GC TO 9080
9020 WRITE (6,9021)9021 FORHAT(58H NCT ENCUGh SPACE RESERVED IN SOLVIT FOR AXISYMMETRIC FL
1CW)GC TO 90BO .KRITE(6,9031)
ENOUGH SPACE RESERVED IN SOLVIT FOR CROSS FLOW)90309031 NCTFCPPAT(51H
GO TO 90809040 WRITE (6T9041)9041 FCR^AT (57H NOT
1CW)9080 STOP
END
ENCUGh SPACE RESERVED IN SOLVIT FOR EXTRA CROSS FL
$IBFTG spiv PEBUG.DECK
C20X9SUBROUTINE SOLVIT (A, NC, MC, KD, NI, MM,, NO, N.W, *)
C " ' ' • ' • ' ; • " • ' ' • • •C **** ***/ ******* ****.* * ***/ *C * > > * / * ,* f" ' ' * *t /* ******
C **** **J|?' * / * * *** * * / * **** •* *C * i^ * * * * */ * ***c * 71** * * ?****? /**?* * *C D I R E C T M A T R I X S O L U T I O NC • ' ' ' ' .* ' • ' ' ' • ' ' •C WRITTEN BY J. L. HESS * PROGRAMMED BY T. M. RIODELLC - • • • • ' • • • - " ' ' " " - • • • ' • - - - : > : ' " - J ' • ' • ' " • • • • • • ; •
CIMENSICN A < KD )C " ' ' : " •• ' ;"
ILOGICAL LASTG . ' ' • ' • '••" ' . • • • . - . • . • •
CALL TIMEV(AAl)N = ND '* - *6, .KORE = KONPM = N -f MIF (MAXO'O * ?iP, , M * NJ .GT. KORE) RETURN 1Kt-' =' MM ' • ' '-' ' ''•' - ' " - ' ' • - - ' • ' •REWIND MTMN =: N.ICEBUG NIN»MtNOREWIND M(SN'OUT = NOREWIND NOUTKP1 = M. + 1f N = N.NEL = NPM.
C ' " • • - • ' • • ' • • ' • • • • ' : ' •
C - - CALCULATE THE MAXIMUf* NO.. OF ROWS, «K«C
10 K = (KORE - NEL), / NELCC TEST TO SEE IF THE REST CF ThE MATRIX WILL FIT IN COREC ' ' - . ; . , -
LAST » K .GE. NNIF (LAST) K = NN
CC READ »K« ROWS OF THE AUGMENTED «A« MATR;IXC '
30 NT = 0CO AO IB = 1, KKS = NT 4 1NT = NT + NEL
AC READ (MINI <A(IG)» 1C = NS, NT)CC - - CHECK TO SEE IF WE WERE UNLUCKY ENOUGH TO END UP WITH ONLY ONE ROW
' c - • • • • - . . : . . - . • . - . - • ' .IF (KV.EQ. 1) GO TC 9C
C • ' ' • • • • • • . .C - - «K' IS GREATER THAN •!' SO WE CAN START THE TRIANGULARIZATION;C
NELP1 = NEL +1 ,NS = - NEL .NELP2 = NELP1 +1
c . . . . • • • • • • ' ' . . - - . . • ' . -C • FORK THE •TRAPEZOIDAL' ARRAY (8)C ' • ' .„„-''•.
CO 50 IB = 2, KNP = NELP2 - IBNS = NS > NELP1NT = NSCO 50 1C = IB, KM = NT 4 NELKN = NTNB = NS ••:.-AINT) = t-A(NT)) / A(NS)CC 50 NF = 2, NPKN = MN + 1NB = NB * I
50 A(MN) = A(NN) + A(NT) * A(NB)IF (LAST) GO TO 90
CC - - WRITE THE 'TRAPEZCIDAL • MATRIX ON TAPEC
NT = 0NP = NELNS = - NELCO 60 1C = It KNS = NS + NELP1NT = NT 4 NELfcRITE (WT) NP, (A(I8)t IB = NS, NT)
60 NP = NP - 1NP = NP - MNS = KORE - NEL +1
CC - - READ ANOTHER ROWC
CC 80 1C = 1, NP .READ (NIN) <AUB), IE = NS, KORE)
C • - . ' " 'C PGDIFY THIS ROW BY THE 'TRAPEZOIDAL* ARRAYC
NT = 1PN = NSCO 70 IB = 1, KNB = NTNF = PN .+ 1A « M N ) = (-A(NN)) / A(NT)CC 65 NN = NF, KORE
NB = NB 4 165 A(NN) = A(NN) + A(KN) * A(NB)
H N = N F . . ' • . . • • ' - • • ' . • • - • .7C NT = NT 4 NELP1
CC - - WRITE THE KODIFIEC RCVi ON TAPEC
80 WRITE (NflUT) (ACM), NT = MN, KORE)REWIND NOUTREWIND NIK
CC - - SWITCH THE TAPESC .
NT = NINNIN = NOUTNOUT = NT
CC RE-CALCULATE ROW LENGTH ANC LCOP BACKC
NEL = NEL - KhN = NEL - MGO TO 10
CC - - REWIND ALL TAPES 'C
90 REWIND FTREWIND NINREWIND NOUT
C .C - - CONDENSE THE MATRIXC
KM = NELNL = NELP1IF (K .EQ. 1) GO TO 105NS = 1NT = NELCC 100 IB = 2, KNS = NS * NELP1NT = NT 4 NELCO 100 10 = NS, NTA(NL) = A(10)
ICO NL = NL + 11G5 M - KORE - K * M + 1
CC - - THERE, NOW WE CAN STAPT THE EACK-SOLUTIONC * * NOTE..THE FIRST AVAILABLE LOCATION FOR THE SOLUTIONS IS A(N1)C
NREF = NNEL = NPMLAST = K .EQ. NNPASS =0
CC - - SOLVE FOR THE ANSWERS CORRESPONDING TO «K» ROWSC110 KW1 = K - 1
KP1 .= K 4 1
?sr
NS = NL - MP1NPASS = NPASS +1CO 130 MN = 1, MNF = NS f MNA(NF) = A(NF) / A(NS)NT = NSIF (KM1 .EC. 0) GO TC 130CO 125 IB = 1, KM1NF = NF - IB - PNT = NT - fPl - IB .SUM =0.0NP = NFK2 = MP1 4 IBCO 120 10 = 1, IBKN = NT 4 10 .NP = NP f N2 - 10
12C SUM = SUM 4 A(NN) * A(NP)125 A(NF) = (A(NF) - SUM) / A(NT)13C CONTINUE
CC MCVE THE SOLUTIONS TC CONTIGUOUS LOCATIONS STARTING AT A(N1)C ,
Nl = KORE +. 1CC 140 NN = 1, KCC 135 MN = 1, MN'L = NL - 1M = Nl - 1
135 A(N1) = A(NL)1AC NL = NL - NN
C ,C V(RITE THE SOLUTIONS CN TAPEC
WRITE (NIN) KNS = Nl - 1CO 1A5 MN = 1, MNT = NS * KN
145 WRITE ( N I N >(A(IC), 10 = NT, KORE, M)C • - . . • ' . . , ' 'C -r - TEST IF THIS IS THE LAST PASSC • ' .
IF (LAST) GO TO 200CC WE MUST NCW MODIFY THE TRIANGULAR MATRIX TO REFLECT THE EFFECT OFC THE SOLUTIONS OBTAINEC SO FAR (EQ 21)C * * NOTE..LOCATICNS A(l) TC A(N1-1) ARE NOW FREE TO USECC - - CALCULATE THE NEXT VALUES OF «NEL' AND «NREM«C
NELCLD = NELKOLD = KNEL = NEL - KNREM = NREM - K
CC NOW APPLY THE INCREDIELE FORMULA FOR THE NEW «K'C
K = (-4 * M - 1) / 2 + IFIX(SQRT(0.25 + FLOAT((4 * M * 2) * M 4
12* (KORE - NELOLD)) ))NROW = NREM - K + 1IF (K .LT. NREM) GO TC 150LAST = .TRUE.NROW = 1K = NREM
150 NS = 1NT = NELOLD +1
CC - - READ IN THE ROWS TO BE MODIFIEDC
CO 190 IB = 1, NREMNT = NT - 1IF CIB .IE. NROW) GO TC 160NS = NS 4 NNNT = NT + NN
160 READ ( MT ) NN, (AUC), 10 = NS, NT)NP = Nl - 1NF = NT - M - KM1UN = NN - KOLDCC 170 MN = 1, MN2 = NFNA = NP + MNNB = NASUM = 0.0CO 165 10 = 1, KOLDSUM = SUM + A(N2) * A(NA)N2 = N2 + 1
165 NA = NA + MN2 = N2 4 MN - 1
170 A(N2) = A(N2) - SUMCC - - ViRITE THE MODIFIED RCW ON TAPE OR CONDENSE THE ROWG
NL = NT - M + 1IF (IB ,GE. NROW) GO TC 175NF = NL - KP1WRI.TE <NOUT) NN, (AUC), 10 = NS, NF), (A(IO), 10 = NL, NT)GO TO 190
175 NF = NL - KOLDCO 180 MN = NL, NTA(NF) = A(MN)
180 K'F = NF •*' 1 ' ' -190 CONTINUE
REWIND MTREWIND NGUT
C ' • •' "C SWITCH THE TAPESC
NT = MTMT = NOUTNCUT = NT
CC LOOP BACK THRU THE SOLUTIONC
NL = NF
GO TO 110C - • • ' . - - ' : " .C - - START TO WRAP IT UPC " ' . . . . . ' • ' • - . - , . - .
20C REWIND NINN2 = N ' - . : ; ' • • • • " " ' . •' . ' • .
c . . . ' • • • ' • . -C * * NOTE.. AT THIS POINT ALL LOCATIONS Ad) THRU A(KORE) ARE FREEC - ,-. • • •- . -
CO 220 IB = 1, NPASS .READ (NIN) K ;M = N2 - K + 1 • . . •NS = NlNT = N2 ' .• •- . • -v^-; •.. •, . ; • • . ' •
c . . - • - : " ' • ' • ' ; ' . •C RE-AC. IN THE SOLUTIONSC , ' - -. .. - ' ' . • • - " 'V.
CO 210 1.0 = It MREAD (NIN) (A(NN), NN = NS, NT) ,NT =. NT 4 N .
21C NS = NS + N •220 N2 = Nl - 1
C . - • . , . . : • •
C REWIND ALL INPUT TAPESREWIND 'NIKREWIND MT ,REWIND NOUT
C - - KRITE THE SOLUTIONS CN TAPEc • • ' . - . . . ' • ' ' ' • " . •""'.
NT = 0 -':'; •CO 230 10 = 1, HNS = NT 4 1NT = NT + K
23C WRITE (NW) (A(NN), NN = NS, NT) •c - • ' . . ' . ' . " -
CALL TIPEVUA2) - .EB = (AA2 - AA1) / 60.WRITE (6, 300) N, N, K, EB
3CO FORHAT (4HOTHE 15, 2H X 15, 12H MATRIX WITH 14, 35H RIGHT SIDES WAIS SOLVED DIRECTLY IN F.8.3, 9> MINUTES. )RETURNEND
$IBFTG PAT4 DECK
SUBROUTINE PART4CC *C
CGKKON12345CCUBLE PRECINTEGER
1234COMKON12CCKKON IEC,REAL
COMPUTE
HEDR (10,FLG03,FLG08,FLG13.FLG18tFLG23
VELOCITY
) ,CASE,FLG04,FLG09,FLG14,FLG19,FLG24
COMPONENTS AND
,NB,FLG05,FLG10,FLG15,FLG20,FLG25
,NNU,FLG06,FLG11,FLG16,FLG21,FLG26
,FLG07,FLG12,FLG17,FLG22,FLG27
ISION HEDR, CASEFLG03,FLG08.FLG13,FLG18.FLG23NT
,NER1,KUNC(4)NSIGEC,MN
,FLG04,FLG09,FLG14,FLG19,FLG24,NC( 11,NER2,TYPEC
TYPEEC(4
,FLG05,FLG10,FLG15,FLG20,FLG25
) ,MN,NMA
(4) ,NLF(11)), NUNEC(4)
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
,FLG07,FLG12,FLG17,FLG2?,FLG27,TYPEA(4),NSIGC
CC
CCKMON /C4/1COMMON /TC/12
XK500), YK5CO), X2(500), Y2(500), DELS(500),SINA(50C),COSA(500),XP(500), YP(500)RB{500,e),SIG(500,4), A(500), BI500), Z(500),PHI(500,4), XN(500,4),T(500,4), T3(5CO,4), NSIG, NP, NI, SUMV
* STARTREWIND 3IF (FLG05.EQ.O) GC TO 30
* READ OFF-BCCY XP.YPNP=ND(NB*1)READ (121 (XP(I),I=1,KP),(YP(I),I=1,NP»
* READ X1,Y1,X2,Y2,CELS WITH MACH NO. ADJUSTMENT IF ANY30 NI=KT+NB
READ (121 (XKI ),I=1,M ), (Yl( I), I=1,NI >,(X2(I),I = 1,NT)1 ,(Y2(I),I=.1,NT),(DELS(I),I = 1,NT)
* READ SINA,COSA,NO,TO..READ (4) (A( I),I = 1,NT),(B(I),I = 1,NT)SUMV = 0.0GC 100 I = 1, NT .SINA(.I) =; A(IICOSA(I) =? B( I)
100 SUMV = SUMV * BU)*DELS( I)*Y2(I)**2SUMV = SUMV*3.141593IF <FLG03.LE.O) GO TO 10COL = 1LS = 0IF <FLG16.NE.O) GC TO 200DC 150 I = 1, NTRB(I,L) =! A( I)
ISO RB(I,L+1) = 8(1)
2003CO
4CCSCO600
10CC
1050
11CO12001300
14CC15 CO1600
20CC
C***C***
22002400
C**:*
IF (NNU) 600,600*300GC 500 J = 1, NNUREAD <4) PS,(AU ), I=1,NT), (BU )» 1 = 1, NT)IF (MS.EQ.1.0R.MS.EQ.2.0R.MS.EQ.5) GO TOt = L+2LS = LS + 1IF (LS.EQ.1.ANO.FLG16.GT.O) L=L-2DC 400 I = 1, NTRB(I,L) = AU)RB(I,L+1) = B(I) .,-•:, -.CONTINUE "*-:.•REWIND 4 --:':; --. .5;. .,>...-:. "^ •' •' ' . "iKSIG = NSIGA , - . - , .CALL AXISIF (FLGOA.LE.O) GO TC 20COIF (FLG03.LE.O) GC TC 1050READ (4) (A<I),I=1,NT),(B(I),I=1*NT)L = 1LS=0 - ' • - , .IF (FLG17.NE.O) GC TC 1200CC 1100 I = 1, NTRB(I,L) = A(I )BB(I,L*11 = B(I)IF (NNU) 1600,1600,1300CC 1500 J = 1, NNU . .READ (A) MS, (A(I) , 1=1 ,NT ) , ( B ( I ),!=!, NT)IF ( MS.EQ.O.OR.MS.EC.2.CR.MS.EQ.4) GO TOL = L+2LS=LS+1IF (LS.EQ.1.ANO.FLG17.GT.O) L=L-2CC 1400 I = 1, NTRB( I,L) = A(I)
500
1500
CONTINUEREWIND 4NSIG = NSIGCCALL CROSSIF (FLG21.LE.O) RETURNREWIND 4IF(FLG22.GT.O) GO TO 24001 = 0***IF CCNTROL REACHES THIS POINT, THERE IS AT LEAST 1 NNU***SKIP RECORD WITH SIN AND COS
READ (4)CC 2200 J = 1,NNUPEAD(4) MS, ( AU),I = 1,NT ), ( BUI,1=1,NT )L = L + 1CO 2200 I = 1,NTRBU,L) = AU)RB( I.L + ll = BUIREWIND 4NSIG = NSIGEC .***OALL TC EXCROS FCR GENERATED (RESEP) BOUNDARY CONDITIONS
CALL EXCRCSRETURNEND
100
1IBFTC A X I S DECK
SUBROUTINE A X I Sccc
COMMON123A5DOUBLEINTEGER
123ACOMMON12COMMONCOMMONREAL
* COMPUTE AXISYMMETRIC VELOCITY COMPONENTS AND PRINT
HEDR (10),FLG03,FLG08,FLG13,FLG18,FLG23
,CASE,FLGOA,FLG09,FLG1A,FLG19,FLG2A
,NB.FLG05,FLG10,FLG15,FLG20,FLG25
-
,NNU,FLG06 ",FLG11,FLG16,FLG21,FLG26
,FLG07,FLG12,FLG17,FLG22,FLG27 '
PRECISION HEDR, CASEFLG03,FLG08,FLG13,FLG18,FLG23NT
,NER1,NUNC(A)
IEC, NSIGEC,/P/ IPUVEL
MN
,FLGOA,FLGC9,FLG1A,FLG19,FLG2A,NC( 11,NER2,TYPEC
TYPEECiA
.FLG05,FLG10,FLG15,FLG20,FLG25
) ,MN,NMA
(A) ,NLF(11)), NUNEC(A)
,FLG06»FLG11,FLG16,FLG21,FLG26,NUNA(A),NSIGA
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(A),NSIGC
C
c
c
c
COMMON /CA/ICOMMON /TC/
DIMENSION
XK500), YH5CO), X2(500), Y2(500). DELS(SOO),SINA(500 ) t COS A(50C),XP(500), YP(500)RB(500»8),SIG(500,A)f A(500), 8(500), Z(500),PHI(500tA), XN(500,A),T(500,A), T3(5CO,A), NSIG, NPt NI, SUMV,SUMM(A)
VX(500,A),VY(500,A),VT(500,A),TH(500,A>,CP<500,A),SUMTDS(A)
EGUIVALENCE ( VX(1,1) , XN(1,1) ) , <VY(1,1),T<1,1) ) ,
EGUIVALENCE (VY,VYDP),iVT,VTDP),(T.TDP),(VX,VXDP)DIMENSION TDP(1),VXDP(1),VYDP(1),VTDP(1)
* START
IF (FLG19.GT.O) NC=NMAIF (FLG08.EQ.Q) GO TO 10
* TITLE FOR MATRIX PRINTWRITE (6,150) HEDR,CASEWRITE (6,8)
8 FORMAT (1H A3H MATRICES A,B,Z BY ROWS * AXISYMMETRIC FLOW //)* READ AXIS SIGMAS
1C 00 20 N=1,NSIGSUMM(N)=0.0
101
SUMTDS(N)=0.0 . ' . . .2C READ (3) (SIG(I,N),I=1,NC)
IF (FLG19.LE.O) GO TC 25READ (4)NR = NMA+1READ <4) (SIG(I,l.),I-NR,Nt)REWIND 4 .- ' .
C * NC. OF MICFCINTS LCOP25 CO 100 1 = 1,NT
C * KEAD MATRICES A,B,ZREAD (9) (A(J),J = 1,NT) ,(6(J),J = l,NT),(Z(J),J = l,NT)
C * NC. OF FLOWS LOOPM=0CC 70 N=1,NSIG
SN=0.0 •ST=0.0SP=0.0
* NC. OF ELEMENTS LCOPCC 20 J=1,I\TSN=SN+A( J)*SIG( J fN)ST=ST*B(J)*SIG(J,N)
30 SP=SP+Z(J)*SIG(J,N)IF(FLG22.GT.O) GO TO fc.:8IF (FLG12.EC.O) GO TC AOXN( I,N) = SNPHI (I,N) = SP-RB(I,M-1>GC TO 50
<iC XN{ I,N)=SN-RB(I,N1-1 )PHI(I,N)=SP
50 IF (FLG11.EG.O) GC TC 60T(I,N)=ST . .GC TO 65
6C T(I,N)=ST-i-RBU,Nl)65 SUFM(N) = SlifMN) + PHI< I,N)*Y2( I ) *RB ( I , Nl-1 )*DELS
CP{I,N)=1.-T(I,N)**2GC TO 70
68 XMI.N) = SNPHI(I,N) = SPT(I,N) = ST 'CP( I,N) = 1.0 - T( ItN )**2.
7C CONTINUEIF(FLG08.EC.O) GO TO ICOWRITE (6,8C) I, (A(J) ,J = 1,NT)
80 FORMAT (1HO 13H MATRIX A ROW. I6/.11H 10F10.5))WRITE (6,85) I,(B(J) ,J=1,NT)
85 FCRMAT (1HC 13H MATR I X B RCW I6/ ( 1H 1CF10.5MWRITE (6,9C) I ,(Z(J) ,J = 1,NT)
90 FC'RMAT .(1HO 13H M A T R I X Z ROW I6/ ( IH 10F10.5))ICC CCNTINUE
IF (MN.EG.C.O) GO TO 130* MACH NO. ADJUSTMENT'
C2=1.-D1C3=SQRT(D2)
/oa.
C5=.2*D1CC 120 N=1,NSIGGC 120 I=1*NTfx=(f (i,N)*CCSA(I)-l.)/D2+i.TV = I T( I,N) * SINAJ I) ) / 03
s --,-. T( I JN>=SCRT(TX*TX + TY*TY)12C CP(I,N)=( (l.+05*(l.-T( t,N)**2) )**3.5-l.)/D4
... * ELIMINATE NACH NO EFFECT FOR PRINTOUT, .. .. CC 122 1 = 1, NI122 Xi( I ) = xi( I )*D3
K=oji=c :CC. 126 k=l jNB
beJi^Ji+i
J-YU ji|X2( j)=(xi( Ji+i j+xiiji I }/2.CELS(J)=SGRT(Ti*Ti+T2*f2)CCSA( j)=Tl/DELS( J)
124 SINA(j)=T2/DELS( J)
. * PRiNT AXIS FLCW (CN-BODY) bUfPUfi30 CC 2150 L-1.NSIG
KA = LIF (FLG16.LE.O) KA=L-1IF (FLG22.Gt.G) KA = LIF(Fl;b22.GT.O)i3 TC 136
CC. 135 J = 1, NT135 SUNtpSiL) = SUMtDS(L ) + t( J iL)*UELS(J)
iCTR=22ViRITE J6,i50) HECR.CASE
L5G FCRfAt (IH1 25X, 26HCCUGLAS AIRCRAFT COMPANY /1 28X, 21HLCNG EEACH DIVISION ///2 6X, iOA6, 4X, 10HCASE NO. A6 /'/ jIF (FLG22.GT^O) GC TO 176IF (UGT.l.CR.FLGi6.NE.O) GO TO 170
, , WRITE (6,160) . ...... ..l6C FCRt'At (ih 34H ON-BODV UNIFORM AXISYMMEtRIC FLOW )
(EC TO i<30 - . .i7C IF (tYPEA(KA).GE.b.O) GO TC 175
f c R I T I E (6,172) - ' • - . ; > . . . ,172 FORMAT (1H 44H FLOVJ GENERATOR * ROTAtiNG BODY * tYPE ERROR j175 IF (NUNA(KA).EQ. 123456) VRITE (6,177)177 FCRKAT (27H CN-BOOY STRIP VCRTEX FLOW,) ,178 IF (NUNA(KA).NE.123456) WRI TE ( 6 , 1 80 ) NUNA ( KA ) .180 FORKAT (1H 42H CN-BODY NCN-UKiFORM AxiSYMMETRIC FLOW NOi 18 jISd ViRltE ( 6 . 2 C C )2Cb FCRKAT (1H 5X 24H tRANSFCRMEC CbbR'biNATES //
1 12X 1HX 13X 1HY 13X 2HT1 12X 2HCP 9X 5HSIN A2 6X 5HCOS A 7X 5HSIGMA 11X 1HN 13X 3HPHI //)
210 WRITE (6,220) I,Xl(I ) , Yl(I),X2(J),Y2(J), T(J,L),CP(J,L),1 SINA<J),CCSA(J),SIG(J,L),XN(J,L),PHI(J,L)
220 FORMAT (1H I3,2F14.7/ 4X 4F14.7,2F11.5,3F14.7)1=1+1
IF U.EQ.N) GO TO 230 <IF (I.LE.LCTR) GO TO 210LCTR=LCTR+22 .GO TO 140
230 =M+1N=N+ND(M)WRITE (6,240) I ,Xl(I ),Yl(I)
2AO FORMAT (1H 13, 2F14.7 //)1 = 141
IF ( J - NT ) 210, 242, 242242•IF1FLG22.GT.O) GO TO 250
fcRITE(6,244) SUMM(L), SUKV, SUMTDS(L)244 FORMAT (1HC 1CX 13H ACCEC MASS =F12.7, 4X 9H VOLUME = F12.7,
A 5X 18HSUM (TKCELTA S) = F12.7 )250 CONTINUE
CALL BCOUMP(X2M),X2(NT) )CALL BCDUMP(Y2(1),Y2(NT))CALL BCOUMP(TOP(1),TCP«NT))IF UPUVEL .EQ. 0) GC TO 252
L O C =100 • ; • ' .CALL PUNCHC (X2, NT, LGC, CASE )LOC =500 .CALL PUNCHC ( Y2, NT, LOC, C£SE )LCC = 900CALL PUNCHV ( T, NT, NSIG, LCC, CASE )
252 IF (FLG05.EG.O) RETURN .* OFF-BODY PCINT
IF (FLG15.LE.O) GO TO 258M = 0CO 254 I = 1, NB
254 IF (NLF(I) .LE. 0) M = M + 1IF ( M .EG. 0 ) GC TO 258KM = NNU +1 .CO 255 I = 1, MM
255 READ (4)IF (FLG22.GT.O)READ(4)CO 256 J = 1, M
256 READ(4) (.RB(I,-J),I = 1,NP), (T3(I,J),I ^ l,NP)REMIND 4
258 CO 300 I = 1, NPL = 0 .
* READ MATRICES X,Y,ZREAD (9) <A( J),J = l,NT),.(e< J ) , J = l, NT) , (Z ( J ), J = 1,NT )
* NO. OF -FLGK • .DC 300 N=1,NSIGK A = K . .... . . - . . -IF (FLG16.LE.O) KA=N-1SX=0.0SY=0.0
/0V
SP=0.0 .* NO. OF ELEMENTS LOOP
CC 260 J=1,NTSX=SX+A(J)*SIG(J,N)SY=SY+B(J)*SIG(J,N)
260 SP=SP+Z< J)*SIG(J,N)PHI(I,N)=SPIF (FLG22.GT.O) GO TO 27CIF (FLG11.GT.O) GO TO 270IF (N.NE.1.0R.FLG16.GT.O) GO TO 262VX(I,N) =f SX + 1.GC TO 280
262 IF (NUNA(KA).NE.123456) GO TO 270L = L + 1VX<I,N)=SX+RB(I,L)VY(I,N)=SY+T3(I,L)GO TO 3CO
270 VX(I,N) =? SX28C VY(I,N) =? SY3CO CONTINUE' ' •
IF (MN.EQ.0.0) GO TO 330* MACH NO. ADJUSTMENT
CC 320 N=1,NSIGCC 320 1=1,NPVY(I,N)=VY(I,N)/03
320 VX(I,N)=IVX(I,N)-1.)/C2+1.CC 322 I = 1, NP
322 XP(I)=XP(I)*D3* COMPUTE VT AND THETA
330 CC 335 N=1,NSIGCC 335 I=.l,NPVT(I,N)=SGRT(VX(I,N)**2+VY(IfN)**2»
335 TH<I,N)=ATAN2(VY(I,N),VX(I,N)) * 57.29578* PRINT AXIS FLOW (OFF-BODY) OUTPUT
CC 450 L=il,NSIGKA = LIF(FLG16.LE.O.AND.FLG22.LE.O) KA = L - I1 = 1LCTR=45
3AO WRIT,E (6,150) HEDR.CASEIF (L.GT.1.0R.FLG16.NE.O) GO TO 370IF(FLG22.GT.O) GO TO 378WRITE (6,360)
360 FORMAT (1H 35H OFF-BCCY UNIFORM AXISYMMETRIC FLOW )GO TO 390
370 IF (TYPEA(KA).GE.O.) GO TO 375WRITE (6,172)
375 IF (NUNA(KA).EQ.123456) WRITE (6,377)377 FORMAT (28H OFF-BODY STRIP VORTEX FLOW)378 IF (NUNA(KA).NE.123456) WRITE (6,380) NUNA(KA)38C FORMAT (1H 43H CFF-BCCY NON-UNIFORM AXISYMMETRIC FLOW NO. 18)390 WRITE (6,400)4CO FORMAT (1H 5X, 24H TRANSFORMED COORDINATES //
1 12X 1HX 13X 1>Y 13X 2HVX 12X 2HVY 12X 2HVT 10X2 5HTHETA 11X 3HPHI //)
410 WRITE (6,420) I,XP(I),YP(I), VX(I,L),VY(I,L),VT(I,L),
/OS"
1 TH(I,L), PHI(I,L)420 FORMAT (1H 13, 7F14.7)
IF (I.GT.NP) GG TO 45CIF U.LE.LCTR) GO TO 410LCTR=LCTR+45GO TO 340
45C CCNTINUECALL BCDUMP(XP(1),XP(NP) )CALL BCCUMP(YP(1),YP(NP) ) , •-CALL BCDUMP(VXDP(1),VXDP(NP) )CALL BCDUKP(VYDP(ll,VYeP(NP) )C A L L B C O U M P ( V T D P ( i ) , V T D P ( N P ) )
SCO IF ( I P U V E L .EQ. 0) R E T U R NLCC = 2 5 0 0CALL PUNCHC ( XP, NPf LOC, CASE )LCC = 2900CALL PUNCHC ( YP, NP, LOC, C A S E )LCC = 3300CALL PUNCHV ( VX, NP, NSIG, LOC, CASE )LCC = 4900CALL PUNCHV ( VY, NP, NSIG, LOC, CASE )RETURNEND
tIBFTC CROSS DECK
SUBROUTINE CROSScc *c
COMMON123A5COUELE PRECINTEGER
1234COMMON
12COMMON IEC,COMMON /P/REAL
COMPUTE CROSS FLOW
HEDR(IO),FLG03,FLG08,FLG13,FLG18,FLG23
,CASE,FLG04,FLG09,FLG14,FLG19,FLG24
VELOCITY COMPONENTS AND PRINT
,NB,FLG05,FLG10,FLG15,FLG20-,FLG25
,NNU,FLG06fFLGll,FLG16,FLG21,FLG26
,FLG07,FLG12,FLG17,FLG22,FLG27
ISICN HEDR, CASEFLG03,FLG08,FLG13,FLG18,FLG23NT,NER1, NUNC ( 4)NSIGEC,IPUVELMN
,FLGC4,FLG09,FLG14,FLG19,FLG24»ND( 11 ),NER2,TYPEC(<
TYPEEC(4),
,FLG05,FLG10,FLG15,FLG20,FLG25,MN,NMA
i) ,NLF(11)r NUNEC(4)
Jf
,FLG06,FLG11,FLG16,FLG21,FLG26,NUNA(4),NSIGA
,FLG07,FLG12,FLG17,FLG22,FLG27,TYPEA(4),NSIGC
C
c
C
C
C
C
CCKKON
CCCPON /TC/123
XK500), YK500), X2J500), Y2(500), OELS(500),SINA(5CO),COSA(500),XP(500), YP(500)RB(500,€),SIG(500,A)t A(500), B(500), Z(500),PHI(500,A), XN(500,4),T(500,A), TStSCO.A), NSIGt NP, NI , SUMV
DIMENSION VX<500,A),VY(5CO,4),VZ«500,4),T2(500,A)
EQUIVALENCE ( VX(1,1), XN(1,1) ), ( VY(1,1), T(l,l) ),(VZ(ltl)t T3(l,l) )t (T2(ltl)t T(l,l) )
EQUIVALENCE < VZ,VZDP ) , ( VX, VXCP ) , ( VY, VYDP ) , ( T2.T2DP ) , ( T3,T3DP)DIMENSION T2DP(1),T3DP(1),VXCP(1),VYDP(1),VZDP(1)
* STARTIF (FLG08.EG.O) GO TC 10
* TITLE FOR NATRIX PRINTKRITE (6,150) HEDR,CASEKRITE (6,8)
8 FORMAT (1H 36H MATRICES A,B,Z BY ROWS * CROSS FLOW //)* READ CROSS SIGMAS
10 DC 20 N=1,NSIG
20 READ (3) (SIG(I,N),I=1,NT)* NG. OF MIDPOINTS LOOP
CC 100 1=1, NT* READ MATRICES A,B,Z
107
3C
35
38
4C
45
50
55
ec
70
ec
85
90ICO
130
READ (10) (A(J),J=l,NT),(B(J),J=l,NT),(Z(Ji,J=l,NT)* NO. CF FLOWS LOOP
M=O • .. r '":'-CG 70 N=1,NSICMM + 2SA=0.0SB=0.0sz=c.o
* NG. OF ELEMENTS LCOP ' ' :' *CO 30 J=1,NT . ...SA=SA+A(J)*SIG(J,N)S6=SB+B(J)*SIG(J,MSZ=SZ*Z(J)*SIG(J,N)
* INITIALIZE UNIFORM OR NON-UNIFORM PARAMETERSIF (FLG21.GT.O) GO TG 38 :IF (N.EQ.1.ANO.FLG17.LE.G) GC TO 35 : •C1=PB(I,M)C2 = -RB(I.M-1)C3=0.0GG TO 40C1 = SINA(I )C2=COSA(I)C3=l. . , . . , . .GG TO 40Cl ,= 0.0 ,C2 = 0.0 • ., ..: ' • ' . : . . .' . • '•'• • .. ., ' :
C3 = 0.0IF (FLG12.EG.C) GO TC 45
* OPTION FOR Z C.P.HI )XM I,N) =? SA'PHI(IfN-) = Y2C.I) * SZGC TO .50
* REGULAR A MATRIX SOLUTIONPHK I,N)sY2( I)*SZXNCI,N)=SA+C2IF (FLG11.EG.O) GC
* OPTIONT2(I,N)=SBT3U,N) = SZGC TO 60T2CI,N)=SB+C1T3.C I,N) = SZ+C3IFCFLG21.GT.O) GO TO 70SUf.K(N) =! SUKMN) + PHCI,N)CONTINUEIF CFLG08.EG.O) GC TC IOCWRITE (6,80) I,(A(J),J=1,NT)FORMAT (1HC 13H MATRIX A RCWWRITE (6,85) I,(B(J),J=l,NT)
(1HO 13H MATRIX B ROWIt'CZCJ) ,J=1,NT j
MATRIX SOLUTION
TO 55PERTURBATICNS
* Y2( I) * C2 * DELSlI)
FORMATWRITE (6,90)
I6/ (1H 1OF 10.5))
167 (IH 10F10.5))
FORMAT (1HO 13H MATRIX Z ROW I6/ (IH 10F10.5))CONTINUE ,
* PRINT CROSS FLOW (ON-BOOY) OUTPUTCC 250 L=1,NSIGKC = L
IF (FLG17.LE.O) KC=L-1IF(FLG21.GT.O) GO TO 138SUMW(L) = 3.141593 *SUMM(L)
1 3 8 1 = 1
LCTR=2214C WRITE (6,150) HEDR,CASE150 FORMAT (1H1 25X, 26HCCUGLAS AIRCRAFT COMPANY /
1 28X, 21HLCNG REACH DIVISION ///2 6X, IOA6, 4X, 10HCASE NO. A6 //)IF (FLG22.GT.O) GC TC 175IF (L.GT.1.0R.FLG17.NE.O) GO TO 170WRITE (6,160)
16C FORMAT (1H 27H ON-BODY UNIFORM CROSS FLOW )GC TO 190
170 IF <TYPEC<KC».GE.O.) GC TO 175WRITE (6,172)
172 FCRKAT (1H 31H FLCW GENERATOR * ROTATING BODY )175 WRITE (6,18C) NUNC(KC)160 FORMAT (1H 35H ON-BODY NCN-UNIFORM CROSS FLOW NO. 18)19C WRITE (6,2CO)2CC FCRKAT (1H 5X 24H TRANSFORMED COORDINATES //
1 12X 1HX 13X IKY 13X 2HT2 12X 2HT3 9X 5HSIN A2 6X 5HCOS A 7X 5HSIGMA 11X 1HN 13X 3HPHI // )
210 WRITE (6,220) I , Xl( I ) , Yl ( I ) , X2( J I , Y2 ( J) , T2 ( J, L ) , T3( J, L) ,1 SINA(J),CCSA( J),SIG(J,L),XN(J,L),PHI(J,L)
220 FCRFAT (1H I3,2F1A.7/ AX 4F14.7* 2FL1.5, 3F14.7)1=1 + 1
IF (I.EQ.N) GC TO 230IF (I.LE.LCTR) GO TO 210LCTR=LCTR+22GC TO 140
23C MM+1
WRITE (6,240) I,X1(I ),Y1(I)240 FCRKAT (1H 13, 2F14.7 // ) .
1 = 1 + 1IF( J.GT.NT)GC TO 242GC TO 210
242 IF(FLG22.GT.O)GO TO 250WRITE(6,244) SUHK(L), SUfV .
244 FQRKAT (1HO 10X.14H ACCEC MASS = F12.7, 4X.10H VOLUME = F12.7)250 CCNTINUE , .
CALL BCOUMP(X2(1),X2(KT) ) ''."•".-CALL BCDUMP(Y2(1),Y2(NT) )CALL BCDUMP(T2DP(1),T2CP(NT) )CALL BCDUMP(T3DP(1),T3CP(NT) ) .IF (IPUVEL .EQ. 0) GC TC 252
LCC = 6500CALL PUNCHV ( T2, NT, NSIG, LOC, CASE )LCC = 69COCALL PUNCHV (T3, NT, NSIG, LCC, CASE )
252 IF (FLG05.EQ.O) RETURN
. .VX(. ,PHI
IFIFVY(VZ(CC
27C VY(VZ(
,N)=SX,I,N) = YP( I )*SPFLG22.GT.O) GO TC 2'FLG'll.Gr.O.OR.N.,N)=SY+1.,N)=SP+1.0 300
' * PERTURBAT,NI=SY",N)=SP
•3CC CCNTINUE
KE.
ICN
C * CFF-BCOY PC INTCO 300 I=»1,NP
C * READ MATRICES X,Y,ZREAD (10) (A( J),J-1,M), (B( J),J = 1,NT),(Z(J),J«1,NT)
C * NC. OF FLCWCC 300 N=l,NSIGSX=0.0 .SY*C.OSP=0.0
C * NC. OF ELEMENTS LCOPCC 260 J=l ,NT
' , SX=SX*AU)*SIG<J,M ' •> . .SY=SY+B(J)*SIG<J,N)
260 .SP
I.OR.FLG17.GT.O) GO TO 270
CR NCN-UNI FORK VY.VZ
•' - * PKINT CROSS FLOW (OFF-BODY) OUTPUTCC ^50 L=1,NSIGKC = LIF (FLG17.LE.G) KC=L-1 ;1 = 1LCTR=45V.RITE (6,15C) HEDB.CASEIF (FLG22..GT.O) GO TC 375IF' (L.GT.I.CR.FLG17.NE.O)WRITE (6,360)FCRNAT (IH 28H OFF-BCCYGC TO 390 . .IF (TYPEC(KC)iGE.C.) CC TO 375URITE (6,172)WRITE (6,380) NUNC(KC)FORK AT (IH 36H OFF-BCCYWRITE (6,400)FCRKAT (IH 5X, 24H TRANSFORMED COORDINATES //
1 12X 1HX 13X 1HY 13X 2HVX 12X 2HVY 12X 2HVZ 12X 3HPHI //)WRITE (6,420) I , XP( I ) , YP ( I ) , VX< I ,L ) ,VY( I ,L ) , VZ( I , L ) . PHI ( I ,L )FCRfAT (IH 13, 6F14.7) . -1=1 + 1IF ( I.GT.NP) GO TO 45CIF (I.LE.LCTR) GO TO 410LCTR=LCTR+45 , ,GC TO 34,0 ' .CCNTINUECALL BCCUMP(XP(1),XPUP) ) .CALL BCDUMP(YP(1),YP(KP) )CALL BCDUMP(VXDP(1),VXOP(NP) )CALL BCOUMP( VYOPU I.VYCPINP) ) - .CALL BCOUHP(VZOP(l),VZCP(NP) ) .IF ( IPUVEL .EQ. 0 ) RETURNLCC =7300 -CALL PUNCHVLCC = 7700CALL PUNCHVLCC = 8100CALL PUNCHV(VZ,NP,NSIG, LCC, CASE)RETURN-END '
33C
3AC
36C
370
37538C39C4CC
410420
GO TO 370
INIFCRM CROSS FLOW );
NON-UNIFORM CROSS FLOW NO. 18)
450
5CO
( VX, NP, NSIG, LOC, CASE )
( VY, NP, NSIG, LOC, CASE )
1 1 0 .
tIBFTC EXCR DECK
C***
C
C
SUBROUTINE EXCRCSJW*-*/*lF^kjr\»Ti— f- t/ T r> • VELOCITY COMPONENTS AND PRINT
12a
45
1234
12
1
123
COMMCN,,,,',
CCU8LE PRECIINTEGER
,,,,
COMMON,,
COMMON IEC,COMMCN /P/ IREAL
COMMON /CA/
COMMON /TC/
HEDR(IO)FLG03FLG08FLG13FLG1.8FLG23SICN HECRFLGC3FLGpSFLG13'FLG18FLG23NTV, „: .
: ;NERlNUNCU)
,,,,,*,,.»?,,•f,,
CASEFLG04FLGC9FLG14FLG19FLG2ACASE
FLGC4FLG09 .•••:FLG14FLG19FLG2ANC( 11)NER2TYPEC(A)
,,,,,t
,• ,,,,,,,
NBFLG05FLG10FLG15FLG20FLG25
FLG05FLG10FLG15FLG20FLG25MNNMANLF(ll)
,,,,,
NNUFLG06FLG11FLG16FLG21,FLG26
,,,,,,,
FLG06FLG11FLG16FLG21FLG26NUNA(4NSIGA
,,,,,
,,,,,
) ,. ,
FLG07FLG12FLG17FLG22FLG27
FLG07FLG12FLG17FLG22FLG27.TYPEAK)NSIGC
NSIGEC, TYPEEC(A), NUNEC(A)PUVELMN
XI (500),SINA(5CCRB( 500,5PHI (500,T ( 500, 4 ), SUMM A )
))4,
YK500),,COSA(5CU,SIG(500,) ,T3(500,4'
),4 )
),
X2(500)XP(500), A(
XN
, Y2(500), DELS(500),, YP(500)'500)( 500
NSIG,
, B (,4 ) ,
NP
500),
, NI
Z(500),
, SUMV
CIMENSICN ..^ ..VX(500.,fi ) ,VY ( SCO, A ), VZ.( 500,4 ) ,T2 ( 500,
102C
EQUIVALENCE ( VX(1,1),1 (VZ(.ivl.)t T3(l,l) ),
•REWIND 8IF (FLG08.EQ.O) GO TO 10***TITLE FOR MATRIX PRINT
W R I T E (6,150) HEDR.CASEWRITE (6,8)FORMAT (1H 42H MATRICES A,H,i***REAO EXTRA CROSS SIGMAS
CO 20 N = l.NSIGREAC (3) < SIGH,N), I = 1,NT***NO. OF MIDPOINTS LCCP
CC 100 I = l.NT***READ MATRICES A,6,Z***YOU MUST SOLVE POTENTIAL
REAC (8) ( A(J),J = 1,NT):,( (***NO. OF FLOWS LOOP
M = 0 • " : - • •CO 70 N ^ l.NSIG
BY ROWS * EXTRA CROSS FLOW //)
MATRIX FOR EXCROS(J),J = 1,NT ), ( Z(J),J = 1,NT )
c.** *
30AC
1C
eo
85
90ICO
c***130
V = M -»• 2SA = 0.0SB = 0.0SZ = 0.0***NO. OF
CC 30 J =;SA = SA 4SB = SB 4SZ = SZ *T2(I,N) =;T3M.N) *XN(I,N) ?PHHI.N) =CONTINUED •*IF (FLGba.EG.C)WRITE (6,8C) I,FORMAT (1HOWRITE (6,85)FORMAT (1HO 13HKRITE (6,90) I,FORMAT (1HO 13HCONTINUE***PRINT EXTRA
ELEMENTS LCCP1»NT
* SIG(J,N)* SIG(J.N)* SIG(J.N)
A(J) *B(J) *Z(J) *SBSZSAY2U)
13HI,
SZ / 2.0
GO TC 100(A(J),J = 1,NT)MATRIX A ROW 167(B(J),J = It NT)MATRIX B ROW I6/( ZU),J = 1,NT)MATRIX Z ROW I6/
(I'H 10F10.5) )
(1H 10F10.5) )
(1H 10F10.5) )
CROSS FLOW <CN BODY) OUTPUTCG 250 L = 1,NSIG
C-***C,***
1ACISO
155
160162
1902CC
210
220
BODY NUMBERNUMBER CF POINTS ON
KEC = LI = 1J = 1M = 1N = ND(M)***M IS THE***N IS THE NUMBER CF POINTS ON BODY M
LCTR =22KRITE (6,150) HEDR,CASEFORMAT (1H1 25X, 26HGCUGLAS AIRCRAFT COMPANY /
1 28X, 21HLCNG EEACH DIVISION ///2 6X, 10A6, AX, 10HCASE NO. A6 //)IF (FLG22.GT.O) GO TC 160KRITE (6,155)NUNEC(KEC)FORMATIA1H CN-BOOY NON-UNIFORM EXTRA CROSS FLOW NO. 18)GO TO 190 .WRITE (6,162)FORMAT168H ON BODY GENERATED (RESEP) BOUNDARY CONDITIONS EXTR
1A CROSS FLCW)KRITE (6,20G)FORMAT (1H 5X 2AH TRAN.SFCRMED COORDINATES //
1 12X 1HX 13X 1H.Y 13X 2HT2 12X 2HT3 9X 5HSIN A2 6X 5HCOS A 7X 5HSIGMA UX IHN 13X 3HPHI //)WRITE (6,220) I,Xl(I),Yi(I),X2(J),Y2(J), T2(J,L) ,T3(J,L),1 SINA(J),CCSA(J),SIG(J,L),XN(J,L),PHI(J,L)FORMAT (1H I3.2F14.7/ AX 4F14.7,2F11.5,3F14.7)I = f + IJ = J +•-!IF (I.EQ.N) GO TO 230 ..IF (I.LE.LCTR) GO TO 210'LCTR = LCTR +22GC TO 1AO
230 M = M + 1N= N + ND(M)WRITE (6,240)1 , XKI), YKI)
2 4 0 FORMAT ( 1 H I3.2F14.7 / / ) - . . . . ,
IF (J.GE.NT) GO TC 250GC TO 210 .
250 CONTINUE : .***THIS IS WHERE THE CALL FOR PUNCHED OUTPUT WILL GO
252 IF (FLG05.EC.O) RETURNC*** ***OFF BCDY POINTS
CO 300 I = IfNPC4«* ***REAC MATRICES X,Y,Z
READ (8) ( A(J),J = 1,NT ),(B(J),J = ItNT), ( Z(J),J = l.N.T )CC 300 N = 1,NSIGSX = 0.0 ; :SY =0.0S P = 0 . 0 . . . - - • .
C*#* ***NUMBER OF ELEMENTS LCOPC C 2 6 0 J = IfNT . . - . • . •SX. = SX +. A( J) * SIG (JfN>SY = SY 4 8(J) * SIG (JfN) .
260 SP = SP + Z(J) * SIG(J,N)VX(I,N) = SXVY(I,N) = SYVZ(I,N) =5 SPPHKI.N) = YP(I) * SP / 2.0
3CC CONTINUE***PRINT EXTRA CROSS FLOW (CFF-BODY) OUTPUT
330 CC 450 L = 1,NSIG ,KEC = L1 = 1LCTR = 4 5 • • . . - .
340 WRITE (6,150) HEDR.CASEIF (FLG22.GT.O) GO TC 355 .WRITE(6,35C) NUNEC(KEC)
350 FORMAT ,(43H OFF BODY NON-UNIFORM EXTRA CROSS FLOW NO. 18)GC TO 390
355 WRITE(6,357)357 FORMAT(68H OFF BODY GENERATED (RESEP) BOUNDARY CONDITIONS EXTR
1A CROSS FLOW) .390 WRITE (6,400)400 FORMAT (1H 5X, 24H TRANSFORMED COORDINATES //
1 12X 1HX 13X 1HY 13X 2HVX 12X 2HVY 12X 2HVZ 12X 3HPHI '//.)410 WRITE (6,420) I,XP(I ) , YP(I),VX(I,L),VY(I,L),VZ(I,L),PHI ( I,L)42C FORMAT (1H 13, 6F14.7) . ;
1 = 1 + 1IF (I.GT.NP)GO TO 450IF (t.LE.LCTR) GO TO 410LCTR = LCTR +45GC TO 340
450 CONTINUE***THIS IS WHERE THE CALL TC PUNCHED OUTPUT OFF BODY WILL GO
RETURNEND '
"3
: COMBYN
JIBFTC COMBYN DEBUG, DECK
C THE MAIN PROGRAM FOR APPROACH 5 COMBYNC
COMMON /MONOF/ JJS,JJ .COMMON /NIN/ XOFF(200),YOFF(2QO),NPMIN,NCLqtNCHICOMMON /RDOUT1/ XON( 400 ) ,YON(400),NSPE< 10) ,NSPB( 10) ,XRI , NHUBMX,NTM1IN,NSPLT,YWINGCOMMON /ROCUT2/ T(400,2),VYAX( 200*2), VYCR( 200) ,V2(400) ,V3(400) ,VZC1R(200)COMMON /RDOUT3/ VXAX( 200,2 ),VXCRt 200)COMMON /RCONT1/ VC,V INF, ALFAF,TTOTAL, ELMO, VA,PTCOMMON /COUT1/ QCA,PTC,PSPTC I,PI0180.ATOTAL,GRHOCOMMON /COUT2/ VINFP.RHOTOT, VICCOMMON /RDOUT4/ NTHETA,TH£TA< 101 .XTEST(IO)COMMON /GETOUT/ VMAG( 3 ), ALIL,BLIL,CLILCOMMON /TOUT1/ SINTH, COS TH, OMEGA „ ' ' " " 'COMMON /RCONT2/ PSTAT,TSTAT, WDOT,NX, KNO, YRIHUB, YRI SHR.UTIPCOMMON /RSAVE/ XDUMI 400) ,YDUM(4QO) ,XAFFI 200» , YAFFC200)1 ,MO,JA,IR,NRUNNO,M02,JA2, IR2,NRUN02
2 CALL READSVSAVE=VINFIF (VINF.EQ.0.0) GO TO 4VINF=VINF*tl.O-.2*<VINF/ATOTAL)**2)**2.5 .
4 VCSAVE*VCVC'VIC :CALL GETABCVC=VCSAVEVINFP*VINFVINF*VSAVEWRITE (6,8) VMAGU)»VMAG(2)9ALIL,BLIL.CLILtVINFPCALL AVERVREWIND 2REWIND 3DO 6 N=1,NTHETAWRITE (6,10) N.NTHETAREAD (3) WDOTT,VICT ,WRITE (6,12) THETA(N),WDOTT,VICT,VMAG(3)THETA(N)»THETA(N)*PI0180SINTH=SIN(THETA(N))CSINTH«CLIL*SINTHCOSTH*COS(THETA(N))CCOSTH=CLIL*COSTHOMEGA»UTIP/YRISHRCALL ONOFF
6 CONTINUEGO TO 2
C*****FORMATS
C8 FORMAT (97H VI V2 A
IB C VINFP /5X, 1P6E14.3)
10 FORMAT (1HO,4X,I2,4H OF. ,I2,7H THETAS/IHO)12 FORMAT (3X,8HTHETA « ,E12.5,13H WOOTT * «1PE12.5,12H VICT
1= ,1PE12.5,10H V3 = ,1PE12.5)END
. $IBFTC SINTP.
SUBROUTINE SINTP (Z,H,N, XI , Yl )DIMENSION X<200), Y(200), Z(l), MCI)00 2 I=1,NXUI-ZIII
2 Y(II=W(I)CALt SORTXY. (XtY.N) . •
C • • ' ' ' . " . ' . • ' - •00 4 1=1, NK*IIF (Xl.GT.XUM GO TO 4IF (Xl.EQ.X(I)) GO TO 6IF (Xl.LT.X(I)) GO TO 8
4 CONTINUE ' , . . • •6 Y1=Y(K)
GO TO 108 IF (K.EQ.l) GO TO 12
IF (K.EQ.N) K=N-1IF (X(K).EQ.X(K-fl)) K=K-1
W2=(Xl-X(K-l)»*<Xl-X(K+in/(XfK)-X(K-in/IX<K)-X(K+l)lW3=IXl-X(K-l)|*(Xl-X(K))/IX(K+l|-X(K-in/IXCK+l)-X(K)>Yl»Y(K-U*Wl-»-Y(K)*W2+YCK+l)*W3
10 RETURN12 Yl=0.0
RETURNEND
SIBFTC INTPL. DEBUG, DECK
SUBROUTINE INTPOL (L t JtX I, IFLAG. VX, VRES, BETA, ALPH)C***** • ' ' ' "C*** THIS SUBROUTINE INTERPOLATES AND DIFFERENTIATES
'
COMMON /CNOUT/ VRESON1400) ,yPC400) ,BETAON< 400)COMMON /GEABC/ YICOMMON /RDOUT1/ XONI 400) ,YON(400),NSPE< 10) ,NSPB( 10 ) ,XRI ,NHUBMX,NTM1IN,NSPLT,YWINGCOMMON /RDOUT2/ T(400,2) ,VYAX|200, 2) ,VYCR< 200) ,V2( 400) ,V3( 400) ,VZC1R(200)DIMENSION V(400)t 8(400)EPS=1.0E-6M=J-1N=J+1A=1.0DO 2 K=M,NXDIF=XI-XONIK)IF (XDIF.EQ.0.01 XOIF=EPSA=A*XDIF
2 CONTINUECC IF THE REAKE X EQUALS THE ON BODY X THEN SET INTERPOLATED VALUESC TO THE VALUES ON BODYC
IF (ABS(XI-XON(J»».LE.1.0E-6) GO TO 20DO 4 K=M,NB(K)»l.ODO 4 LL=M,NIF ILL.EO.K) GO TO 4B(K)=B(K)*(XON(K)-XON(LD)
4 CONTINUEYI»0.0DUM=0.0VINT=0.0DO 12 II*M,NXDIF=«XI-XON(II)IF (XDIF.EQ.0.0) XDIF=EPSIF (L.EQ.3) GO TO 6IF ( IFLAG. GT.l) GO TO 8 .
GO TO 106 V<II>»V2UI)
GO TO 108 V(M)=VRESONUI)10 YI*YI-KA»YON(II))/(XDIF*B( II ))
VINT=VINT»(A*V(Iin/CXOIF*B(IIl)IF ( IFLAG. EQ.l) GO TO 12
DUM=DUM*(A*V(II))/(XDIF*B( II ))12 CONTINUE
IF (IFLAG.EQ.l) GO TO 16BETA=0.0PSOP=0.000 14 II*MtNXDIF=XI-XON(IIIIF (XOIF.EQ.0.0) XDIF=EPSBETA=BETA+(A*BETAON(111)/( XDIF*BtIII)
14 CONTINUE16 JK»J18 AD=XI-XON(JK-1)
BD=XONUK)-XIPO=AD*(AO*BD)P1=-(AD*BO)P2=«AD+BO)*BDAO=-BDA1=AD-BOA2=ADOY*(AO*YCN(JK-l))/PO*(Al*Yn/Pl+(A2*YON(JKl)/P2ALPHA=ATAN(OY)ALPH*ALPHA/{3«I4159265/180oIVX=VINT*COSIALPHA)VRES=VINTIF (IFLAG.EQ.2) VX»DUM»COSfALPHA)RETURN
20 IF (L.EQ.3) V I N T = V 2 < J )V I N T a T U t L )IF (IFLAG.GT.l) VINT'VRESONIJ)YI=YON(J)IF (IFLAG.NE.l) DUH»VP(J)BETA=8ETAON(J)JK=J-1GO TO 18END
SIBFTC GTABC. DEBUG, DECK . ;' : : 1 ' \
SUBROUTINE GETABC <• '.C***** • . ' • . . " . . - . • • . ' ,C*** COMPUTES VI . V2 , V3 , A , B t C FROM INPUT PARAMETERS
COMMON /ROOUT1/ XON< 400) ,YON<400),NSPE<10) ,NSPB< 10) ,XRI ,NHUBMX,NTM1IN,NSPLT,YWINGCOMMON /ROOUT2/ T<400,2) ,VYAX< 200,2J,VYCR< 200) ,V2(400) ,V3(M>b) ,VZC1R1200)COMMON /NIN/XOFF(200),YOFF(200),NPMINtNCLO,NCHICOMMON /RDOUT3/ VXAX ( 200,2 ) ,VXCR( 200 »COMMON /RCONT1/ VCtV INF, ALFAF, TTOTAL,ELND, VA,PTCOMMON /GETOUT/ VMAG( 3) , ALIL,BLIL,CLILCOMMON /GEABC/ YIDIMENSION VXAXH(2), VXAXS(2)PI 0180=3.14159265/180.ALFAF»ALFAF*PI0180DEBUGHyXAX(I,J|,I=l,200),J=l,2)OEBUGIVXCRU ), 1 = 1,200)
C*** COMPUTE VI , V2 , V3
IF (XOFF(NCLO).LT.XON(l)) GO TO 6CC , „- SEARCH ON HUB COUNTING BACKWARDS -c • '• " ' •"'
J=NHU8MX2 IF (XON(J).LT.XOFF(NCLO)) GO TO 4
J=J-1-GO TO 2
4 J=J+1XH=XOFF(NCLO)IFLAG*!CALL INTPOL <1,J,XH,IFLAG,VX,DUM,DUM,DUM)VXAXH(1)«VXCALL INTPOL (2,J,XH,IFLAG,VX,DUM,DUM,DUM)VXAXH(2)=VXCALL INTPOL (3,J,XH,IFLAG,VXCRH,DUM,DUM,DUM)YH=YtGO TO 8
6 YH=0.0VXAXH<1)=0.0VXAXH(2)=0.0VXCRH=0.0
C*** SEARCH GN SHROUD COUNTING FORWARDSC*****8 K=NHUBMX+110 IF (XON(K).LT.XOFF(NCHI) ) GO TO 12
K»K+lGO TO 10
12 K=K-1
XS=XOFF(NCHIjIFLAGM.CALL INTPOL (1,K,XS,IFLAG,VX,DUM,DUM,DUM)VXAXS(1)*VXCALL INTPOL (2,K,XStIFLAG,VX,DUM,OUM,DUH»VXAXS(2)*VXCALL INTPOL (3,K,XS,IFLAG,VXCRS,DUM,OUM,DUM)YS'YI ' .ILOH=NCLO+1IHIGHsNCHI-1
CC AXIAL COMPONENT VELOCITY *** AX1SSYMETRIC SOLUTIONC ' ' ' • •
DO 16 L=l,2SUM=YH*VXAXHCL)*(YOFF(NCLOi-YH)+VXAX(NCLO,LI*YOFF(NCL01*(YOFF(NCLO1+D-YH)DO 1A I=ILOW,IHIGHSUM=SUM*VXAXIItL)*YOFF«I)*(YOFF(I+l)-YOFF(I-l))
14 CONTINUEDSUM=SUM+YOFF(NCHII*VXAX(NCHI,L)*(YS-YOFFINCHI-1))+(^1.0l*YS*VXAXSCIL)*(YS-YOFFCNCHI))VMAG(LI»SUM/<YS**2-YH**2I
16 CONTINUECC AXIAL COMPONENT CROSSFLOW VELOCITY SOLUTIONC
SUM=YH*VXCRH*(YOFF(NCLO»-YHI+VXCR<NCLO)*YOFF(NCLO)*tYOFF(NCLO+ll-Y1H)DO 18 I«ILOW,IHIGHSUM=SUM+VXCR(I )*YOFFU»*(YOFFI I*1)-YOFF( 1-1) )
18 CONTINUESUM=SUM+YOFFlNCHI»*VXCR<NCHI)*(YS-YOFF(NCHI-im<-1.0l*YS*VXCRS*<Y1S-YOFF(NCHI|1VMAG(3J=SUM/(YS**2-YH**2)CLIL=VINF*COSCALFAF1ALIL=(VC+VINF*SIN(ALFAF)*VMAG(2))/(VMAG(1)-VMAG(2I)BLIL=(VC+VINF*SIN(ALFAF)*VMAG(1))/(VMAG(2)-VMAG(1»ALFAF=ALFAF/PI0180RETURNEND
$I8FTC VBART DECK
C APPROACH 5c - . - • • • ' . . ' - . . - . ' • - • "
SUBROUTINE VBARIT (VBAR,ATOTAL,RHOTOT,RHOBAR)c . • • • • • : • . . . . . . • . • • - _ , . • • • . • • • • • : . . : ; . • • .C TO SOLVE VBAR COMP ITERATIVELYc • . . .. • • • • - " ' . ' . • • • • ' • • .
VCRIT=ATOTAL/SQRT(1.2)•. i-o " . / - • ' -' -•..••.'•••:•.• v- - l -
VGUES=VBAR2 VGUESA=(VGUES/ATOTAL»**2
A=1.0-.2*VGUESAB=A-VGUESAVCOWP=(VBAR-A**2.5*VGUES)/(A**1.5*B1+VGUESIF (ABSUVCOMP-VGUESl/VCOMPl.LT..00011 GO TO 41 = 1*1IF (VCOMP.GE.VCRIT) VCOMP=.5*CVGUES+VCRITIVGUES=VCCMP.IF (I.GT.20) GO TO 4GO TO 2
A RHOBAR=(1.0-.2*<VCOMP/ATOTAL)**2»**2.5*RHOTOTIF (I.GT.20) WRITE (6,6) VBAR,VCOMP.RHOBARRETURN '
C "• • • ' • , " • '•'•'-' ' • •'6 FORMAT (1HO,34HI EXCEEDS 20 ITERATIONS FOR RHOBAR,5X,7HVBAR = ,1PE
110.3,2X.8HVCOMP = ,1PE10.3,2X.9HRHOBAR = ,1PE10.3)END
SIBFTC READS. DEBUG,DECK
SUBROUTINE READS
C*** THIS SUBROUTINE READS ALL INPUTC*****
EQUIVALENCE (T.TRD), (VXAX,VXAXRD), (VYAX,VYAXRD)DIMENSION TRD(l), VXAXRD(l), VYAXRD(l), EODD(400), TITLEI12)COMMON /RSAVE/ XDUM(400),YDUM(400I,XAFF(200),YAFF(200)1 ,MO,JA,IR,NRUNNO,M02,JA2,IR2.NRUN02COMMON /NIN/ XOFF(200),YOFF(200),NPMIN,NCLO,NCHICOMMON /RDOUT1/ XON(400),YON(400),NSPE<10),NSPB(10),XRI,NHUBMX,NTM1IN,NSPLT,YHINGCOMMON /WRT/ KSKIP,NT(2),NP(2)COMMON /RDOUT2/ T(400,2),VYAX(200,2),VYCR(200),V2(400),V3(400),VZC1R(200)COMMON /RDOUT3/ VXAX(200,2),VXCR(200)COMMON /RDOUT4/ NTHETA,THETA(10),XTEST(10)COMMON /RCONTl/ VC,VINF,ALFAF,TTOTAL,ELND,VA,PTCOMMON /RCONT2/ PSTAT.TSTAT,WDOT,NX,KND,YRIHUB,YRISHR,UTIP
READ NTU) = NUMBER OF ON-BODY POINTS FOR CLOSED BODY SOLUTIONNT(2) = NUMBER OF ON-BODY POINTS FOR OPEN-END SOLUTIONNP(1) * NP(2) - TOTAL NUMBER OF OFF-BODY POINTSNID - NUMBER OF EOD I.D. CARDSKSKIP * 0 FOR 1 CASE OF COMBYN
= 1 FOR SUCCESSIVE CASES USING THE SAME EOD OUTPUTN4SOL * 0 THREE (3) SOLUTIONS FROM EOD
( 2 FOR STREAMLINES ,1 FOR CROSSFLOW )= 1 FOUR (4) SOLUTIONS FROM EOD
( 2 FOR STREAMLINES, 2 FOR CROSSFLOW )NSPLT = NUMBER OF SPLITTERS (NOISE SUPPRESSION DEVICES )
NSPB = RIGHT MOST POINT ON THE SPLITTERNSPE = LEFT MOST POINT ON THE SPLITTER
***** THE FIRST SPLITTER IS THE ONE CLOSEST TO THE HUBAND THE LAST SPLITTER IS THE ONE CLOSEST TO THE SHRO
C'CCCCCCCCCccccccccc
TITLE(NT(I),NP(I),I=1,2),NID,KSKIP,N4SOL,NSPLT
READ (5,30)READ (5,32)NPMIN=NP(1)NTMIN«NT(2)IF (NSPLT.NE.O) READ (5,32) (NSPB(I),NSPE(I),1=1,NSPLT)READ (5,34) VC.VINF,ALFAF,TTOTAL,ELNO,YWING,UTIP,VA,PTREAD (5,34) PSTAT.TSTAT,MOOTREAD (5,32) NTHETA,NCLO,NCHI,NX,KNDREAD (5,34) (THETA(I),I-l.NTHETA)READ (5,34) (XTESTU ) , 1 = 1,NX )READ (5,36) XRI,YRIHUB,YRISHR,NHUBMXDEBUG(NSPB(I),NSPE(I),1=1,NSPLT)
C*** IF KSKIP = 0 , READ DATA PUNCHED FROM EOD
2C*****C*** READ
IF (KSKIP.NE.O) GO TO 20READ (5,381 MO,JA,IR.NRUNNODO 18 L=l,2ILOON=H-400*(L-1)IHICN=ILCON+NT(L)-lNTL=NT(L)ILO=1+200*(L-1) ;IHI=ILO+NP(L)-1NPL=NP(L)IF (L.EQ.l) GO TO 4IF (NID.GT.l) GO TO 2M02=MOJA2=JAIR2=IRNRUN02*NRUNNOGO TO 4READ (5,38) M02,JA2,IR2,NRUN02
OUTPUT FROM EOD (BINARY RECORDS)
1012
161820
CALL BCREADCALL BCREADCALL BCREADCALL BCREADCALL BCREADCALL BCREAOCALL BCREADCALL BCREADIF (L.EQ.2)CALL BCREAD
BCREADBCREADBCREAOBCREADBCREAOBCREADBCREADBCREAD12
CALLCALLCALLCALLCALLCALLCALLCALLGO TO
(XON(1),XON(NTL) )(YON(1),VCN(NTD)(TRD(ILOON), TRD( IHION))(XOFF(l)tXOFF(NPD)(YOFF(1),YOFF(NPD)(VXAXRD( UO),VXAXRD(IHI) )(VYAXRD( ILO) ,VYAXRO( IHI ) )(EODOU) ,EODD(NPU)GO TO 6(XON(l)tXON(NTD)(YON(l).YCN(NTL))(V2(ILOON),V2( IHION))(V3(ILOON),V3( IHION))(XOFF(1),XOFF(NPD)(YOFF(1)»YOFF(NPL»)(VXCR(ILO),VXCR( IHI))(VYCR(ILO),VYCR( IHI))(VZCRilLO).VZCR(IHI))
GO TO 18IF (N4SOL.EQ.O)DO 8 1*1,4CALL BCREAD (EODD( 1 ) ,EODD(NTL) )CONTINUEDO 10 1*1,5CALL BCREAO (EODO(l) , EODD( NPL) )CONTINUEDO 14 =»1,NTLXDUMd =XON(l)YOUHd »YON(I)DO 16 =lfNPLXAFFd =XOFF(I)YAFFd »YOFF(I)CONTINUEMRITE (6,28) TITLEWRITE (6,40) HO,JA,IR,NRUNNO,M02,JA2,IR2,NRUN02CALL CONST
DO 22 I=1,NTMIN • - •XON<I)*XDUM(I|/ELND
22 YON(I)*YDUM(I)/ELNODO 24 I=1,NPMINXOFF(I)=XAFFU)/ELND
24 YOFF(I)=YAFF(I)/ELNDDO 26 1=1,NX
26 XTEST<n = XTEST( I)/ELNDRETURN
CC FORMATSCC28 FORMAT <1H1,10X,30HCOMPRESSIBLE COMBYN APPROACH 5,10X,12A6)30 FORMAT U2A6)32 FORMAT <20I4)34 FORMAT UOF8.3)36 FORMAT <3F10.2,14)38 FORMAT (42X,3I2,I6)40 FORMAT (1HO/25H BASED ON BASIC DATA FROM,13,1H/,12,1H/,12,8H RUN N
10.,!6,4H AND,I3,1H/,I2,1H/,I2,8H RUN NO.,16/)END
SIBFTC CONST. OEBUGtDECK
SUBROUTINE CONSTc - • . ; • . - . . • "C THIS SUBROUTINE CALCULATES: MOST OF THE CONSTANTS USED IN COMBYNc . • • .. , .-.-' .. . . . '
COMMON /NIN/ XOFF(200),YOFFt20q),NPMINtNCLOtNCHICOMMON /RCCNT2/ PSTAT,TSTAT,WDOT»NX,KND, YRIHUBiYRI SHR,UTIPCOMMON /RCONT1/ VC.VINF, ALFAF,TTOTAL,ELND,VA,PTCOMMON /COUT1/ QCA,PTC,PSPTC I , PI0180, ATOTAL ,GRHQCOMMON /COUT2/ VINFP , RHOTOT,VICCOMMON /WRT/ KSKIP,NT ( 2 ) »NP( 2 )COMMON /ROOUT4/ NTHETA, THETAC 10) ,XTEST( 10JCOMMON VROOUT1/ XON( 400) ,YON(400) fNSPE< 101 »NSPB( 10) tXRI ,NHUBMX, NTM1IN,NSPLT,YWINGREAL MCtMA.MINFPI=3. 14159265R21568=1715.63G=32.17API0180=PI/180.IF (PSTAT.NE.O.O.AND.TSTAT.NE.O.O) GO TO 2IF (PT.EQ.0.0) PT=2116.22IF CTTOTAL.EQ.0.0) TTOTAL=518.67ATOTAL=49.*SQRT(TTOTAL)CATOT=1.0-.2*(VINF/ATOTAL)**2PSTATC»PT*CATQT**3.5PTC=PTRHOTOT=PT/«R21568*TTOTAL)TSTAT=TTOTAL*CATOTRHOST=PSTATC/<R21568*TSTAT)PSTAT*PT-.5*RHOST*VI NF**2ASTAT=49.*SQRT(TSTAT )GO TO 4
2 ASTAT=49.0*SQRT<TSTAT)PSTATC=PSTATRHOST=PSTAT/ (R21568*TSTAT)AMINF=VINF/ASTAT -CAMINF*l.O+.2*AMINF**2PT=PSTAT+.5*RHOST*VINF**2PTC=PSTAT*CAMINF**3. 5TTOTAL=TSTAT*CAMINFRHOTOT=PT/(R21568*TTOTAL)ATOTAL=49.*SQRT(TTOTAL)
4 IF (MOOT. EQ. 0.0) GO TO 6AC=PI*IYRISHR**2-YRIHUB**2)/144.VIC=WDOT/(G*RHOTOT*AC)VICC=ATOTAL/1.728
C*** FOR 0. BREUNLIN TAKE OUT FOLLOWING THREEC3) CARDS 8/30/71c***** • • ' . • • ' • " • • . . • • • 'C I F I V I C . L E . V I C C ) GO TO 25C VIC = VICC
/-ay
C WDOT * RHOTOT*VIGC*AC*GCALL VBARIT <VICtATOTAL,RHOTOT,RHOC)VC*WOOT/(G*RHOC*AC)
6 IF (VA.EQ.0.0) VA=VCC*****C*** TESTS FOR NORMALIZING PARAMETERS (ELNO)C*** •IF KND = -1, ELNO =YRISHRC*** 0T SET ELND = 1.0 AND SKIP NONDIMENSIONAL CALCULATIOC*** 1, ELND = YRISHR - YRIHUBC*** 2, USE READ IN VALUE OF ELND
4,5,6 USE VA FOR NONDIMENSIONALIZING VELOCITIES
IF (KNO.EQ.O» GO TO 8VCA=VCIF IKND.GE.4) VCA=VAWRITE (6,28) VC,VINF,VA,VCA,PT,TTOTALVC*VC/VCAVA=VA/VCAVINF=VINF/VCAPT=loOTTOTAL=TTOTAL/(VCA**2)IF (KND.EQ.-1.0R.KND.EQ.4) ELND=YRISHRIF (KND.EQ.1.0R.KND.EQ.6) ELND=YRISHR-YRIHUBIF (KND.EQ.O.OR.KND.EQ.5I ELND-L.OXRI=XRI/ELNDYRIHUB=YRIHUB/ELNDYRISHR'YRISHR/ELNDRTTOT=R21568*TTOTALGRHO=32.174*PT/RTTOTC102RT=.5/RTTOTIF (PSTAToNE.0.0) C102RT=.5*RHOST/PTVCOVA=VC/VAVIOVA=VINF/VAVNFOVC=VINF/VCVFOAT=VINF/ATOTALVCOAT=VC/ATOTALVAOAT=VA/ATOTALCON1=1.0-.2*VCOAT**2CON2=1.0-.2*VFOAT**2CON3=1.0-.2*VAOAT**2RSORTF*CGN2**2.5RSORTA«CCN3**2.5RSORTC=CGN1**2.5IF (HDOT.EQ.0.0) VIC = VC*RSORTCVSONIC=ATOTAL/1.728VSCNCC*ATOTAL/SQRT(1.2IPSPTC=1.0-C102RT*VC**2PSPTIF*1.0-C102RT*VINF**2PSPTCI«RSORTF*CON2 .PSPTCC'RSORTC*CON1PSPTCA=RSORTA*CON3PSPTA=l.O-C102RT*VA**2MINF=VFOAT/(CON2**.5)MC=VCOAT/(CON1**.51MA=VAOAT/(CON3**.5)QINF=PT*f1^0-PSPTIFI
.
ccc
c10
1214161820
22
24
QCINF=PTC*(.7*VFOAT**2*RSORTF)QC=PT*(1.0-PSPTC)QCC=PTC*( ,7*VCOAT**2*RSORTC )QA=PT*11.0-PSPTA)QCA=PTC*( ,7*VAOAT**2*RSORTA»THETC=TTOTAL/518.67DEL=PTC/2116.22HBTPR=YRIHUB/YRISHRWRITE (6,10)WRITE (6,12) VC,MC,QC,QCC,PSPTC,PSPTCC,RSORTCWRITE (6,14) VA,MA,QA,QCA,PSPTA,PSPTCA,RSORTAWRITE (6,16) VINFiMINF,QINF,QCINF,PSPTIF,PSPTCI,RSORTFWRITE (6,18)WRITE (6,20) ALFAF,VNFOVC,VIOVA,VCOVA,VSONIC,VSONCCWRITE (6,22)WRITE (6,24) TSTAT,PSTAT,PSTATC, ASTAT, RHOST,WDOT, VICWRITE (6,18)WRITE (6,26) TTOTAL,PT,PTC,ATOTAL,RHOTOT,THETC,OELWRITE (6,22)WRITE (6,18)WRITE (6,30) XRI,YRIHUB,YRISHR,HBTPR,ELNDWRITE (6,18)WRITE (6,32) XTEST(1),YWINGWRITE (6,22)WRITE (6,34) NT(1),NP(1),NCLO,NCHI,NHUBMX,NX,KND,KSKIP,NT(2),
FORMATS
RETURN
FORMAT (1HO,27X,58HMACH DYNAMIC PRESSURE1SSURE RATIO/107H VELOCITY NO INC2 COMP. INC. COMP. DENSITY RATIO)FORMAT (11H CONTROL ,1PE10.3,IP6E14.3)FORMAT (11H BULK , 1PE10.3, 1P6E14.3)FORMAT (11H FREE , 1PE10.3, IP6E14.3/8H STREAM)FORMAT (1HO)FORMAT (87H ALFAF VINF/VC VINF/VA1/VA VSONIC VSONICC/5X,1P6E14.3)
FORMAT (100H TSTAT PSTAT PSTATC
NP(2)
PRE*
VC
/|f •
1 ASTAT RHOSTAT WOOT VIC/9X, 1PE10. 3,1P6E14.3
26
2830
3234
2)FORMAT (101H - TTOT PTOT PTOTC1 ATOT RHOTOT THET DEL/5X,1P7E14.3)FORMAT (1HO,6E12.5)FORMAT (75H XRI YRIHUB YRISHRIIP RATIO LND/5X.1P5E14.3)FORMAT (31H XTEST YWING/5X, 1P2E14.3)
HUB-T
FORMAT (74H NT NP NCLO NCHI NHUBMX1 NX KND KSKIP/10X,1H1,I4,5X,1H1,I5,4X,I3,5X,I3,6X,I3,6X,I2,42X,I2,6X,I2/10X,1H2,I4,5X,1H2,I5)
END
/ ac ,
SIBFTC AVERV DECK, DEBUG
SUBROUTINE AVEVCC APPROACH 5C
COMMON /MONOF/ JJS,JJCOMMON /RDOUTl/ XON<400) ,YON(400),NSPE< 10),NSPB( 10) ,XRI,NHUBMX,NTM1IN,NSPLT,YWINGCOMMON /NIN/ XOFF<200),YCFF(200),NPMIN,NCLO,NCHICOMMON /ROOUT2/ T<400,2) ,VYAX( 200, 2) , VYCRI 200) ,V2<400) ,V3(400) ,VZC1RC200)COMMON /RDOUT3/ VXAX(200, 2), VXCR(200)COMMON /RDOUT4/ NTHET A.THETA < 10),XTEST( 10)COMMON /RCONTl/ VC,VINF,ALFAF,TTOTAL,ELND,VA,PTCOMMON /RCONT2/ PSTAT.TSTAT, MOOT,NX,KNO,YRIHUB, YRI SHR.UTIPCOMMON /COUT2/ VINFP,RHOTOT,VICCOMMON /GETOUT/ VMAG< 3), ALIL,BLIL,CLILDIMENSION IBEGIN<25), IEND(25), VBAR(400), A(400), VBAROF(ZOO), RH10BAR(400), RBROFF(200), RBORT(400), RBFORTI200)DIMENSION IEOC25)REWIND 2REWIND 3PI=3. 14159265PI0180=PI/180.G»32.17AAC=P I* C YR I SHR**2-YRI HUB**2 ) /ATOTAL=49.*SQRT(TTOTAL)FACTR=C144o/G)/RHOTOTNSHR=NTMI N-NHUBMX-HNBPl=NHUBMX+l
C*** FIND THE HIGH-LIGHT ON THE SHROUDC*****
00 2 I=NBP1,NTMINJJ=IIF (XON(I).LE.XON(I-H)) GO TO 4
2 CONTINUE
C*** MODIFICATION FOR SPLITTER TO FIND THE LAST POINT ON THE SHROUDC***** ;4 DO 6 I=JJ,NTMIN
JJS^IIF (XONU).GT.XON(H-in GO TO 8 .
6 CONTINUEC*****C*** FIND AREAS FOR POINTS ON THE SHROUD THEN INTERPOLATE FOR ALLC*** OTHER POINTS
8 NHUBP1=NHUBMX+1IF (NSPLT.EQ.O) GO TO 1200 10 IN=ljNSPLTIEO(IN)=NSPBUN+1)-1
10 IF (IN.EQ.NSPLT) IEDI IN)=NTMIN
C*** FIND AREA FOR EVERY POINT ON THE SHROUD
177
c*****12 00 20 I=NHUBP1,JJS
YS=YONU)XS=XON(I)IF (I.GT.JJI GO TO 18ARS=0.0IF (NSPLT.EQ.O) GO TO 16
C*** IF THERE ARE SPLITTERS, SUBTRACT AREA OF SPLITTERS FROM OVERALL AR
DO 14 IN=1,NSPLTNSB=NSPB(IN)NSE=NSPECIN)IF (XS.LT.XON<NSE).OR.XS.GT.XON(NSB) ) GO TO 14CALL SINTP <XON<NSB),YON{NSB)fNSE-NSB+l,XS,YSPl)CALL SINTP (XON(NSE) ,YON(NSE), IEO< INJ-NSE, XS,YSP21ARS=PI*<YSP2**2^YSP1**2)+ARS
14 CONTINUE16 CALL SINTP (XON, YON, NHUBMX, XS,YH)
A<I)=PI*(YS**2-YH**2)-ARSGO TO 20
18 RsSQRT<YS**2+(XS-XON<JJn**2)A U ) =< 1.0+ < YS-YONJ J J ) ) / < YON ( J JS ) -YON < J J ) ) ) *P I*R* ( R+XS-XON { J J ) )
20 CONTINUE
C*** INTERPOLATE AREAS FROM THE POINTS ON THE SHROUD TO OBTAINREMAINING AREAS
NCNTH=0DO 24 I=1,NTMINIF U.GE.NHUBP1.AND. I.LE.JJS) GO TO 24IF (XONd ).LT.XON(JJ) ) GO TO 22XA=XONU)CALL SINTP (XON(NHUBP1),A(NHUBPI),JJ-NHUBMX,XA,AX)AU)*AXGO TO 24
22 NCNTH*NCNTH+124 CONTINUE
IF (NCNTH.EQ.O) GO TO 2800 26 I=1,NCNTHAU»=A(NCNTH+1I
26 CONTINUE28 DO 50 N*1,NTHETA
THETA(N»=THETA(N)*PI0180COSTH=COS<TMETA<NIICCOSTH=CLIL*COSTHSINTH=SIN(THETA«NI)CSINTH=CLIL*SINTHVICT*VIC+CLIL*VMAG(3 »*COSTHWOOTT*G*RHOTOT*VICT*ACFACTOR=FACTR*WDOTTWRITE (3) WOOTT.VICT
C*****CALCULATE VBAR FOR EVERY POINT ON BODY
ISTOP=NTMIN '
SLOPE = (XON(JJS)-XON(JJ))/(YON<JJS)-YON(JJ) )00 32 I=1,NTMINIF U.GT.JJ.AND.I.LE.JJS.AND.SLOPE.GT.l.OI GO TO 30VBARm=FACTOR/A<I)GO TO 32
30 VBARU)=VINFPIF (VBARU).EQ.O.OI VBAR(I)«1.0IF MSTOP.EQ.NTMIN) ISTOP=I
32 CONTINUEDEBUG( V8AR( I ) , I=1,NTMIN)
CC CNBOOY RHOBAR AND VRES CALCULATIONSC
RRSRTF=RHOTOT*< 1.0-.2*< VINF/ATOTAL )**2)**2.5RSORTC=U.O-.2*<VC/ATOTAL)**2)**2.500 38 I=ltNTMINVP«ALIL*T(I,1I+BLIL*TU,2)+CCOSTH*V2(I»VTH=CSINTH*V3(I)
CC ORIGINAL VRESONC
VRESON=SQRT(VP**2+VTH**2>RESVV=VRESON
CC APPROACH 5 VRESONc ....... - ..... ' • '
IF (I.GE.ISTOP.ANO.I.LE.JJS) GO TO 34CALL VBARIT (VBAR( I ) , ATOTAL, RHOTOT,RHOBAR( I ) )GO TO 36
34 RHOBARII»*RRSRTF36 RBORT(I)=RHOBAR(I)/RHOTOT
VRESON*VRESON*( 1 .0/RBORT (1)1 **( VRESON/VBAR( I ) )VP=VRESON*VP/RESVVVTH=VRESON*VTH/RESVVWRITE 13) VRESON, VPtVTH
38 CONTINUEWRITE (2) (VBAR( I),RBORT(I ), I=1,NTMIN)
CC OFF BODY POINTS A AND VBARC
J=lIBEGIN(J)=1NRAKES-100 42 I=1,NPMINIF (ABS(XOFF(I+1)-XOFF(II).GT..01I GO TO 40GO TO 42
40 IF (I.EQ.NPMIN) GO TO 42
IBEGIN(J)=I*1NRAKES=J
42 CONTINUEDO 46 I=1,NRAKESIB=IBEGINt I)
FIND AREA FOR OFF-BODY RAKES
CALL SINTP (XON(NHUBP1),A(NHUBP1),JJ-NHUBMX,XOFF(IB),AR)VB=FACTOR/ARCALL VBARIT (VB,ATOTALtRHOTOT,RHB»IE=I8EGIN(I+1I-1IF U.EQ.NRAKES) IE=NPMINDO 44 J=IB,IEVBAROF<J)=VBRBROFF(J)-RHB
44 CONTINUE .46 CONTINUE
00 48 I=1,NPMINc - . • • = . ' • - . - . • • . . . • • • . • • . . ' • • • ' . : • • - " ' - • • 'C ORIGINAL VRESOFc . • • • • • - • • - . . • . ' • ' .
VXC=ALIL*VXAXUt D>BLIL*VXAX(It2)+CCOSTH*VXCRU)VYC=ALIL*VYAX(I, l l+BLlL*VYAX(It2)+CCOSTH*VYCR(I)V2C=CSINTH*VZCRUIVRESOF=SQRT(VXC**2+VYC**2+VZC**2IRESVV=VRESOF
C ' - ' : . : - . ' •C APPROACH 5 VRESOF
RBFORT(I}=RBROFF(I)/RHOTOTVRESOF=VRESOF*(1.0/RBFORT(I))**(VRESOF/VBAROF(I))VXC=VRESOF*VXC/RESVVVYC=VRESOF*VYC/RESVV .VZC=VRESOF*VZC/RESVVWRITE (.31 VRESOF,VXC,VYC,VZC .
48 CONTINUEWRITE <2I (VBAROF(II,RBFORT(I)tI=ltNPMIN)THETA(NJ=THETA(N)/PI0180
50 CONTINUERETURNEND
SIBFTC ONOFF. DECK
SUBROUTINE ONOFFCALL ONBOOYCALL OFFBOYRETURNEND
SIBFTC ONBOY. DECK
SUBROUTINE ONBODYC*****C*** THIS SUBROUTINE CALCULATES ON-BOOY VARIABLESc*****
COMMON /MONOF/ JJS,JJCOMMON /RDOUT1/ XONI 400) ,YON(400) .NSPE(IO) ,NSPB( 10) ,XRI ,NHUBMX,NTM1IN,NSPLT,YWINGCOMMON /COUT1/ QCA,PTC,PSPTCI,PI0180,ATOTAL,GRHOCOMMON /CNOUT/ VRESON(400) ,VP(400) ,BETAON(400)COMMON /RCCNT2/ PSTAT,TSTAT, WDOT,NX,KND, YRIHUB.YRISHR.UTIPDIMENSION VTH(400), PSOPTC(400), CPCON(400), VBAR(400), RBORT(AOO)
It S<400>CALL SRTNE ( XON, YON, XRI , YRIHUB, YRISHR,NHUBMX,NTMIN,S)00 10 I*1,NTMIN
C*** READ FROM TAPE 3 VRESON , VP , VTH
READ <3) VRESONU),VP(I),VTH(I)VCONC=. 2*( VRESON ( I J/ATOTAL )**2IF (VCONC.GT.1.0) GO TO 2PSOPTC(I)=(1.0-VCONC)**3.5GO TO 4
2 PSOPTC«I)»0.04 IF (VTH(I).EQ.O.O) GO TO 6
BETAON«I)=ATAN<VTHU ) /VP( I )»/PI0180GO TO 8
6 BETAON(I)=0.08 CPCONU) = CPSOPTCCI)-PSPTCI ) /CQCA/PTC)10 CONTINUE
READ 12) (VBAR< I ) ,RBORT( I),I=1,NTMIN)
WRITE HUB COORDINATES AND VARIABLES
WRITE (6,14)WRITE (6.16)WRITE (6,18) ( I ,XON( I ) , YON( I ), VP( I ),VTH( I ) ,VRESON( I ) ,VBAR( I ) ,BETAOIN ( I ) ,S ( I ) ,CPCON( I ) ,RBCRT ( I ) , PSOPTC ( I ) , 1=1 , NHUBMX )
C*****C*** WRITE SHROUD COORDINATES AND VARIABLESC*****
WRITE (6,20)WRITE (6,16)NHU8Pl*NHUBMX+lWR I TE (6,18) ( I , XON( I ) , YON ( I ) , VP( I ) , VTH( I ) , VRESON ( I ) ,VBAR( I ) , BETAO1NU) ,S(I),CPCCN(n,RBCRT(I ),PSOPTC(I),I=NHUBP1,JJS)
CC WRITE SPLITTER COORDINATES AND VARIABLES IF IT APPLIESC
IF (NSPLT.EQ.O) GO TO 13DO 12 IN=1,NSPLT
131
NB=NSPB(IN)NE=NSPBUN+1)-1IF (IN.EQ.NSPLT) NE=NTMINWRITE 16,22) INWRITE (6,16) • ,** 'WRITE (6,18) (I,x6N(I),YONm,VPm,vfH(I),VRESONU),VBAR<I),BETAOlN(I),S(I),CPCON(I),RBORTU),PSOPTCm,I=NB,NE)
12 CONTINUE ^*13 CONTINUE
RETURN£*****C*** FORMATS .C***** " ' ' ' • • • . . • ' 'C • • • ' . - - . . ' • • : *14 FORMAT (1MO,10X,3HHUB)16 FORMAT (11X,1AHON-BOOY POINTS//2X,1HI.6X,1HX,11X,1HY,11X,2HVP,9X,6
lHyTHETA,7X,4HVRES,7X,5HVBARI,7X,4HBETA,10X,lHS,llX,3HCPC,5X,5HRB/R2Ti3X,6HPSOPTC)
18 FORMAT (I4,9E12.4,F7.A,F8.4)20 FORMAT (1HO,10X.6HSHROUD)22 FORMAT (1HO,10X.8HSPLITTER,13)
END
SIBFTC SSUB LIST, DECK
SUBROUTINE SRTNE (XON, YON, XRI,YRIHUB,YRISHR,NHUBMX,NTMIN,S)DIMENSION XON(l), YON(l), S(l)
CC S ROUTINEC
ISI=02 ISI=ISI+1
IF (XON(ISn-XRI) 2,4,44 SUSh=SQRT((XON(ISI)-XRn**2+(YON(ISI)-YRIHUB)**2)
ISlrISI+100 6 I=IS1,NHUBMX
6 CONTINUEIS2=ISI-1S(IS2I=-SQRTC(XON(IS2)-XRI J**2+i YON( IS2»-YRIHUB)**2)IS3=ISI-200 8 1=1, IS3I39=IS2-IS(I39»=SU39+l)-SQRT(tXON(I39»-XON<I39+l))**2+(YON(I39)-YON(I39+l)1)**2)
8 CONTINUEISI=NHUBMX
10 ISI = ISI-HIF (XON(ISII-XRI) 12 t 12, 10
12 S(ISn=-SQRT{(XON«ISn-XRI)**2+<YONIISIl-YRISHR)**2)
DO 1-4 I = IS1,NTMINS II ) =S 1 1-1 ) SQRT ( (XON ( I )-XON( 1-1 ») **2+( YON< I )-YON ( 1-1 ) ) **2 )
14 CONTINUEIS2=ISI-1 ;S(IS2I»SQRTC(XON(IS2)-XRI»**2+(YONCIS2)-YRISHRI**2)ISMIN=NHUBMX+1IS3=ISI-2DO 16 I=ISMIN,IS3I39=IS2-I*NHUBMXS(I39l=S(I39-H)+SQRT(fXON(I39)-XON«I39*l»)**2+(YON(I39)-YON(I39+l»1)**2)
16 CONTINUECC END OF SC
RETURNEND
133
S'IBFTC OF60Y. DEBUG,DECK
CCC
CCC
24
SUBROUTINE OFFBDY
SUBROUTINE TO CALCULATE ALL OFF-BODY VARIABLES
COMMON /MONOF/ JJSiJJCOMMON /CNOUT/ VRESON(40Q),VP<400),BETAON<400)COMMON /NIN/ XOFF(200),YOFFt200),NPMIN,NCLO,NCHICOMMON /NOUT/ IBEGIN(25),IENOC25),NOEP<50,6),NOS(25).NRAKESCOMMON /RDOUT1/ XON<400),YON(400),NSPE(10),NSPB(10),XRI,NHUBMX,NTM1IN,NSPLT,YWINGCOMMON /GEABC/ YICOMMON /COUT1/ QCA,PTC,PSPTCI,PI0180,ATOTAL,GRHOCOMMON /TOUTI/ SINTH,COSTH,OMEGACOMMON /RCONT2/ PSTAT.TSTAT,WDOT,NX,KND,YRIHUB,YRISHR,UTIPCOMMON /VOUT1/ PSOPCt100),PHII(100),ZETAI(100),VYI(100),CPC(100),V1ZI(100),VMI(100),VAFTI(100),VSPANI(100),ETAI(100)COMMON /VOUT2/ UI(100),VZPRI(100),BETAPI(100),VPRI(100),VZPRST(1001),BETAPS(100),VPRST(100),MPRST<100),MPRI(100)DIMENSION X(IOO), VRES(IOO), VX(IOO), BETA(IOO), PSOP(IOO), ALFAd100)DIMENSION1300)DIMENSIONDIMENSION12345
QLOCOOO), IQSJ(50), 0(50), OEVK50), QFRACTI300), YLOC(
VBRFF(200), RBRTF(200), Y(IOO), QSTOT(50,6)VRESOF(200), VXC(200), VYC(200), VZC(200),PSOPTC(200),MPRIME(200),MPRIST(200),ALFAOF(2001,BETAOF(200), VAFK200), VSPAN1200), ETA1200),ZETA(200), PHK200), VM(200) ,CPCOFF(200),
U(200),VZPRIM(200),BETAPR(200),VPR1ME(200),VZPRS(200),BETPS(200), VPRISTI200)
REAL MPRIME,MPRIST,MPRST,MPRIPI=3.14159265014=1.0/1.4GR044=GRHO/144.00 8 I=1,NPMIN
READ FROM TAPE 3 VRESOF<I),VXC(I),VYCII),VZCII)
READ 13) VRESOF(I),VXCCI ),VYC(I),VZC(I)VCONA=.2*(VRESOF(I)/ATOTAL)**2IF IVCONA.LE.l.O) GO TO 2PSOPTCtI =0.0MPRIMEd =0.0MPRISTII =0.0GO TO 4PSOPTC(I =(1.0-VCONA)**3.5ALFAOFtI »ATAN(VYC(I)/VXC(I))/PI0180BETAOFM =ARSIN(VZC(I ) /VRESOF(I ) ) /PI0180VAFT(I)-VZCCII*SINTH+VYC<I)*COSTHVSPAN(I)=VYC(I)*SINTH-VZC(I)*COSTHETA( I ) -ATAN2(VAFT( i ) f VXC( I ) ) /P I0180
/ 3 V
Z E T A U ) = A T A N 2 ( V S P A N ( I ) , V X C ( I M/PI0180P H i m = A T A N 2 < V Z C U > t V X C < I M / P I 0 1 8 0VMm*SQRT(VXCm**2+VYC(I)**2)C P C O F H I | s < P S O P T C U ) - P S P T C I ) / ( Q C A / P T C )
CC IF THE OFF-BODY X IS NOT AT CONTROL STATIONt SKIP FOLLOWING CALCULC
IF (XOFF( D . N E . X R I ) GC TO 8IM I )=OMEGA*YOFF( I)V Z P R I M ( n = V Z C ( I ) - U ( I )
V P R I M E m = V M ( I ) / C O S < B E T A P R ( i nBETAPfU I )=BETAPR( I )/PI0180VCCN=VPRIMEU)/ATOTALIF (VCONA.GT.1.0) GO TO 6MPR I ME ( I) =VCON/ ( ( 1.0-VCONA >**. 5 )
6 VZPRSU)=-VZCU)-UmBETPS(I) = ATAN2(VZPRS( I),VM( I ))VPRISTU)=VM(I )/COS(BETPS( I )lBETPSm = 8ETPSU)/PI0180VPCON*VPRISTU)/ATOTALIF (VCONA.GT.1.0) GO TO 8MPRISTU)=VPCON/((I.Q-VCONA)**.5>
8 CONTINUECALL NOEPTS
C*****C*** I = COUNT FOR INTERPOLATED OFF-BODY POINTSC*** IK LOOP FOR NUMBER OF RAKESC*****
I =000 30 IK=1 ,NRAKES >N O S I = N O S ( I K » \I B = I B E G I N U K ) ' ;
C*** IS = STARTING POINT TO FIND ON-BODY X VALUEC*** ISP = STOPPING POINT TO FIND ON-BODY X VALUEC*** K = COUNT FOR NUMBER OF ENDPOINTS FOR RAKE
NS=0DO 28 K=1,NOSIIF (K.GT.l) GO TO 10IS=1ISP=NHUBMXGO TO 20
10 IF (K.EQ.NOSI) GO TO 18IF (MOD(K,2).EQ.O) GO TO 12IS=NSPE«NS)ISP=NSPB(NS+1)-1IF (K.EQ.NOSI-1) ISP=NTMINGO TO 20
12 NS=NS+i14 IS=NSPB(NS)
ISP=NSPECNS)IF (XOFF(IB).GT.XON(IS).OR.XOFF(IB).LT.XON(ISP)) GO TO 16GO TO 20
16 NS=NS+1
GO TO 1418 IS=NHUBMX*1
ISP=JJ .. ... ".-- '"•-c . - • • ' - - • - . - -' . ' . • ' •C DO LOOP TO SEARCH FOR ON-BODY X VALUES NEAREST TO OFF-BODY X VALUEC • • • ' " - . . ' • • " . ' '20 1=1+1
XU)=XOFFUB)IFLAG=2DO 26 J=IS,ISPIF <MOD«K,2).EQ.O) GO TO 22
CC SEARCHING FORWARD - 'TCP-SIDE OF A BODYC
IF rxm.LE.XONUS)) GO TO 24IF (XONU).LT.X(I) ) GG TO 26CALL INTPOL (1, J, X( I ) , I FLAG, VX( I » , VRES( I ) , BETA< I ) , ALFA( I ) )PSOPC(I) = U.O-.2*(VRESm/ATOTAL)**2)**3.5Y(I)=YICALL VAROFF ( I , BETA, ALFA ,VX, VRES.X, Y )GO TO 28
CC SEARCHING BACKWARD - UNDERSIDE OF A BODYC22 IF (XONU).GT.X(IM GO TO 26
CALL INTPOL <1, J, X( I ) , IFLAG.VXUI, VRESII) ,B£TA< I ) , ALFA< I MPSOPC(I)*( l .O-.2*(VRES(I) /ATOTAL)**2)**3.5Y ( I ) = Y IBETA=-BETA(I1V X ( I ) * - V X ( I )CALL VAROFF 1 1, BETA, ALFA,VX, VRES,X, Y )GO TO 28
24 Y(I)=0.0VX(I ) = VXC(IB)VRESU)=VRESOF«IB)BETA(I)*BETAOF(IB»ALFA(I)=ALFAOF( IB)PSOPC(I)=PSOPTC(IB»GO TO 28
26 CONTINUE28 CONTINUE30 CONTINUE
C*** INTEGRATED WEIGHT FLOW BETWEEN LOWER BOUNDARY! EITHER HUB OR AXIS)C*** AND LOCAL Y VALUEC*** NIO = NUMBER OF INTERPOLATED OFF BODY POINTC*****
NIO=0IQS=0DO 42 J*1,NRAKESIQS=IQS+1QLOC(IQS)=0.0NOSI=NOS(J)QST=0.0DO 40 NS=1,NOSI ,2
NIO=NIO+1NLOH=NOEP(J,NS)NHI=NOEP<J,NS+1)NHIMlaNHI-1IQS=IQS+1QLOC(IQS) = PI*(PSOPTC<NLOW)**014*(YOFF<NLOH)*VXC<NLOWM+PSOPC«NIO)*1*014*<Y<NIO)*VX(NIO)))*(YOFFINLOWI-YCNIO))+QSTDO 32 I=NLOWtNHIMlIQS*IQS+1QLOC(IQS»=QLOC(IQS-1)+PI*(PSOPTCCI+1)**014*(YOFF( H-l)*VXC(I>11)+PS10PTCU )**014*(YOFF< I )*VXC< I) 11*1 YOFF( I + D-YOFF (I ))
32 CONTINUENIO=NIO+1IQS=IQS+1IF (X(NIO).LT.XON(JJ)) GO TO 34QLOC(IOS)=QLOC(IQS-l)+PI*(PSOPC(NIO)**014*(YINIO)*VX(NIOlNHIJ**01**{VOFF{NHn*VXC(NHn))*(YINIO)-YOFF<NHI))QST»QLOC(IQS)GO TO 36
34 QLOC(IQS)=QLOCUQS-1)QST*QLOC(IQS1
36 IF (NS.EQ.NOSI-ll GO TO 38IQS-IQS+1QLOC(IQSI-QLOC(IQS-1)
38 QSTOT(J,NS)*QST40 CONTINUE
IQSJ(J)=IQS-IQSAVEIQSAVE=IQSIF (J.EQ.l) IQSJ(J»=IQSQ(J)=QST
42 CONTINUEDO 44 1=1,IQSQLOC(II=QLOC(I)*GR044
44 CONTINUESUM=0.0DO 46 I=1,NRAKESQm=Q(I)*GR044IF ( IBEGINd J.NE.NCLO) GO TO 46QBAR=Q(I)
46 CONTINUEDO 48 I=1 ,NRAKESO E V K I ) = ( Q ( I ) - Q B A R ) / Q e A R
48 C O N T I N U EIST=1IFN=IQSJ(1 )DO 52 I«1,NRAKES 'DO 50 J=IST,IFNQFRACT(J>=QLOC(J)/Q1I)
50 CONTINUEIST=IFN-HIFN=IFN+IQSJ(I+1)
52 CONTINUECC WRITE OFF-BODY DATAC
READ (2) (VBRFFiI),RBRTF(I),I=1»NPMIN)
/37
WRITE (6,82)NIO=0DO 58 I=1,NRAKESNOSI=NOSU>DO 56 NS«1,NOSI,2NLOW=NOEP< I,NS)NHI = NOEP(I,NS-H)
54 NIO=NIO+1WRITE (6,84) X(NIO) ,Y(NIO) ,VX(NIOI ,VYI (NIO) ,VZI (N IO) ,VRES(Nlb ) ,VMI
l (Nia) ,VAFTI(NIO),VSPANI(NIO),PSOPC(NIO)IF (MOD(NIO,2).EQ.O) GO TO 56WRITE (6,86) (J,XOFF(J),YOFF(J),VXC(J),VYC(J),VZC( J ) , VRESOF ( J) ,VM(1J),VAFT(J),VSPANIJI,RBRTF(J),PSOPTCU),J=NLOW,NHI)GO TO 54
56 CONTINUE58 CONTINUE
WRITF. (6,88)NIO = 0NQ=0DO 66 I=1,NRAKESNOSI=NOS(I)DO 64 NS*1,NOSI,2NLOH=NOEP(I,NS)NHI=NOEP( I,NS+1)
60 NIO=NIO+1NQ=NQ+1YLOC(NQ) = Y(NIO)WRITE (6,90) X(NIO)*Y(NIQ),CPC(NIO),ALFA(NIO),BETA(NIO),ETAI(NIO),iZETAI(NIO),PHII(NIOI,QFRACT(NQ)IF (MOD(NIO,2).EQ.O) GO TO 64DO 62 J=NLOW,NHINQ=NQ+1YLOC(NQ) = YOFF(J)WRITE (6,92) J,XOFF( J ) ,YOFF( J), VBRFF( J) .CPCOFF ( J) , ALFAOF ( J) ,BETAOF1(J),ETA(J),ZETA(J),PHI(J),QFRACT(NQ)
62 CONTINUEGO TO 60 : .
64 CONTINUE66 CONTINUECC WRITE OFF-BODY DATA AT THE CONTROL STATION
'C • -. . - ' 'WRITE (6,94) XRI,UTIP
DO 74 I=1,NRAKESNOSI=NOSU»DO 72 NS*1,NOSI,2NLOW=NOEP(I,NS)NHI=NOEP(I,NS+l)
68 NIO=NIO+1IF (X(NIO).NE.XRI) GO TO 70WRITE (6,96) Y(NIO),UI(NIO),VZPRI(NIO),VPRI(NIO),MPRI(NIO),BETAPI(
1NIO),VZPRST(NIO),VPRST(NIO),MPRST(N10),BETAPS(NIO)IF (MOD(NIO,2).EQ.O) GO TO 72 .WRITE (6,96) (YOFF(J),U( J) , VZPRIM( J) ,VPRIHE( J ) ,MPRIME( J) ,BETAPR( J)
1,VZPRS(J»,VPRIST(J),MPRIST(J),BETPS(J),J=NLOW,NHI)
707274CCC
767880
C***
C82
GO TO 68NIO=NIO+1CONTINUECONTINUE
WRITE WEIGHT FLOW DATA
WRITE (6,102)NIO=0DO 80 I=1,NRAKESN O S I = N O S ( I )DO 78 J=1,NOSI,2NIO=NIO-«-2QSTOT(I ,J)=QSTOT(I ,J)*GR044QFR=QSTOT(I ,J»/Q(I)IF (J.GT.l) GO TO 76WRITE (6,98) I ,X(NIO),DEV1(I) ,QSTOT(I,J) ,QFRGO TO 78WRITE (6,100) QSTOTII ,J) ,QFRCONTINUECONTINUECALL STRML (YLOC,QFRACT,IQSJ,NRAKES,XOFF.NOEP)RETURN
FORMATS
FORMAT (RAKES)/*
(1HI,5X,23HOFF-BODY POINTS* 1HO,10X,116HCOORCINATES1 ------ VELOCITIES ------------------------- • ------------- •"2ATIO/123H AXIAL RADIAL AXIAL RADIAL3RNTL RESULTANT MERIDIONAL CHORDWISE SPANWISE
PRESS.RCIRCUMF
COMP
848688
909294
9698100102
4/129H I X Y V X V Y5 VRES VM VAFT VSPAN6TC)FORMAT (5X,1P9E12.4, 7X.OPF8.4)FORMAT U5,1P9E12.4,OPF7.4,OPF8.4)FORMAT (//1HO,112H COORDINATES
1 " , *ki/*i f f
VZRHOBR PSOP
NEW CP
209H AXIAL RADIAL MERIDIONA3L FLOW UNDERTURNG SPANWISE SWIRL/122H I X4 Y VBRI CPC ALPHA BETASETA ZETA PHI QFRACT)FORMAT (5X,1P2E12.4,12X, 1P7E12.4)FORMAT (I5,1P10E12.4)FORMAT (1HL 5X,25HRELATI VE ROTOR INLET DATA/* 1HO,14H X = ,F10.4,17H UTIP = ,F10.4//1212H Y U VZPRIME VPRIM MPRIME2 BETAPR VZPRST VPRST MPRS BETAPS)FORMAT (5X,1P10E12.4)FORMAT (I8,2XflPE11.4,5X,lPE11.4,6X,lPE11.4,2X,lPE11.4)FORMAT (43X,1PE11.4,2X,1PE11.4)FORMAT (1HL,5X,21HRAKE WEIGHT FLOW DATA/
* 1HO,63H I X (Q(I)-QBAR)/QBAR QS TOT1 QFR)END
SIBFTC NOEPT. DEBUG, DECK
SUBROUTINE NOEPTSC***** . . . "C*** THIS SUBROUTINE IS TO FIND THE END POINTS - FOR RAKES NEAR HUB,C*** SHROUD AND/OR SPLITTERSC*** NOS = THE NUMBER OF END POINTS FOR EACH RAKE = 2*NO. OF SPLITTEC*** * 2 (HUB AND SHROUD)C*** NOEP = THE INDEX OF THE RAKE ENDPOINTSC*****
COMMON /NIN/ XOFF(200),YGFF(200),NPMIN,NCLO,NCHICOMMON /NOUT/ IBEGIN( 25 ) ,1 END< 25 ) ,NOEP< 50,6) ,NOS( 25) tNRAKESCOMMON /RDOUT1/ XONt 400 ) ,YON(400 ) ,NSPE( 10 ) , NSPB< 10 ) ,XRI , NHUBMX,NTM1IN,NSPLT,YWIMGJ=lIBEGIN(l)=lNPMNM1=NPMIN-1 . 'DO 4 I=l,NPMNMl •IF (ABS(XOFFU-H)-XOFF(I )).GT..OD GO TO 2GO TO 4
2 IEND(J)=I
IBEGINt J)=I+1CONTINUENRAKPS=J
C*** FIND THE END POINTS OF THE SPLITTERC***** • • . • _ .
00 10 I»1,NRAKESIB=IBEGIN(I) . ;IE=IEND«I)IEM1=IE-1DYTEST=ABS(YOFFMB)-YOFF(IB+1) )
C*** NS IS THE COUNTER TO DETERMINE NUMBER OF END POINTS PER RAKEC*** NOEP IS THE END POINT INDEXC*****
NS = 1NOEP(I,1)*IBIF <NSPLT.EQ.O) GO TO 8DO 6 K=IB,IEM1IF (ABS(ABS(YOFF(K*l)-YOFF.(K))-DYTEST).LE.1.0E-4) GO TO 6NS=NS+1NOEPU,NS)=KNS=NS+1NaEP(I,NS)=K+lDYT£ST=ABS(YOFF(K+1)-YOFF(K>2) )
6 CONTH4UE8 NS=NS+1
NOEP(I,NS)=IE. NOS(I)=NS
10 CONTINUERETURNEND
SIBFTC VAROF. DEBUG,DECK
SUBROUTINE VAROFF (I,8ETA,ALFA.VX,VREStX,Y)DIMENSION BETAU), ALFAll), VXtl), VRES(l), X(l), Y<1)COMMON /TOUT1/ SINTH.COSTH,OMEGACOMMON /NIN/ XOFF(200)fYOFF(200),NPMIN,NCLO,NCHICOMMON /COUT1/ QCA,PTC,PSPTCI,PI0180,ATOTAL,GRHOCOMMON /VOUT1/ PSOPC(100),PHIK100>,ZETAI{100),VYI{100),CPC(100),V
1ZI(100),VMI(100),VAFTI(100),VSPANI(100),ETAI(100)COMMON /VOUT2/ UI(100),VZPRI(100),BETAPI(100),VPRI(100),VZPRSTt100
1) ,8ETAPSUOO > ,VPRST< 100 ) ,MPRST( 100) ,MPRI (100)REAL MPRST,MPRIVCAN-.2*<VRESU)/ATOTAL)**2IF (VCAN.LE.1.0) GO TO 2PSOPCm=Q.UMPRKI)=0.0MPRST(I)=0.0GO TO *
2 PSOPC<n=(1.0-VCAN)**3.54 VYK I ) = V X < n * T A N ( A L F A < I)*PI0180)
C P C ( I ) = ( P S O P C ( I ) - P S P T C I ) / ( Q C A / P T C )VZK IVMM IVAFTIVSPANETAKZETAIPHIK
=VRES< I )*SIN(BETA( I)*PI0100)=SQRT(VX(I»**2+VYI(I )**2»)=VZI (I )*SINTH+VYI( I )*COSTHI)*VYI(II*SINTH-VZI( I)*COSTH=ATAN2( VAFTI ( I ) , VXC I ) )/PI0180)=ATAN2(VSPANI( I),VX( I))/PI0180ATAN2(VZI(I),VX( I))/PI0180
CC IF X IS NOT AT THE CONTROL STATION SKIP FOLLOWING CALCULATIONSC
IF (X( I ) .NE.XOFF(NCLO)) RETURNUK I )=OMEGA*Y( I)VZPRI( I I = VZI(I)-UKI )BETAPI ( I )=ATAN2(VZPRK I),VMI(I) )VPRKI )=VMI( I ) /COS(BETAPI( I) )BETAPKI)«BETAPKI)/PI0180IF (VCAN.GT.1.0) GO TO 6VCON=VPRI( I ) /ATOTALMPRK I )=VCON/( (1.0-VCAN)**.5)
6 VZPRST(I)=-VZKI )-UI(IlBETAPSl I ) = ATAN2WZPRST (I T.VMH I))VPRST( I )=VMI ( I J /COSJBETAPS( I ) )BETAPS< I»=BETAPS( U/PI0180IF (VCAN.GT.1.0) RETURNVPCON=VPRST(I)/ATOTALMPRST«H=VPCON/M1.0-VCAN)**.5)RETURNEND
SIBFTC STRML. DEBUG
SUBROUTINE STRML (Y,Q,IQ,NRAKES,X,N)DIMENSION Yd), 0(1), IQJDt X(l), N(l,l)
CC THIS SUBROUTINE CALCULATES STREAMLINESC . '
WRITE 16,6)DELQ=.02IST=lIFN-IQU)DO 4 I-1,NRAKESNQ»NM,1.IQSTRM=DELQWRITE (6,8) X(NQ)
2 CALL SINTP (Q<IST),Y(1ST),IFN-IST+l.QSTRM,YSTRM)WRITE <6,10) QSTRM.YSTRMQSTRM=QSTRM*DELQIF (QSTRM.LE.1.0) GO TO 2IST=IFN+1IFN=IFN+IQ(I+1)
A CONTINUERETURN
C6 FORMAT (1HO,10X,11HSTREAMLINES/)8 FORMAT (1HO,10X,4HX = ,F7.3/IOX,5HQSTRM,10X,5HYSTRM)10 FORMAT (5X,1PE12.5,6X,1PE12.5)
• END
LISTING OF INPUT CARDS FOR TEST CASE
143
scmcL INPUT
TEST 12.0
32iO •-•> -"4.06.01.01.02.51.00.01.02.01.0 .1.0-3.0 '-.1.01.0
TEST
.25
2.52.752.755.00.00.02".02.06.05.012.6.06.04.00.0
CASE
1.0
5.0 '4.75.4.75
0.00.02.02.02.5
'- 5.05.05.0 :
5.56.65
699
0.00.03.53.512.
6.05.05.02.00.0
6.0
.50
.50 .25- 2.25
2.25 4.52.5
5.05.0
• 5.0 ' 2.05.5 0.020.
•• , f
1.5 2.0 .2.0 3.5 2.25
2.39 6.0 2.5 12. - 2.5
5.5 0.0 5.5 ' '6.65 1.699 30. . , - • •
EOD INPUT
THESE CARDS ARE ALL PUNCHED BY PROGRAM SCIRCL
TEST CASE3 1110
411 0
0.0.1.3.4."6.8.0.1.1.2.2.2.2.
12.7.5.3.2.1.0.0.0.0.5.5.5.5.5.5.6.7.9.15.
12.2.
2.4.4.6.2.2.4.3.
316636525978000000498234'000000523084
319440908128166667389795500000500000
602
000000363950500000963951256492018986194941
000000000000000000137711489660577614081901051688662493216488
4.. . 3000000500000
240
000000000000000000000000500000750000250000500000
00134690112222
11653200000555555671016
123
24463343
.
.483249
.T60536
.250000
.748669
.254089
.281790
.250000
.464105
.957771
.206333
.417534
.500000
.500000
0.096118.924884.250000.677557.000000.851496.112475.•..000000.000000.000000.205818.500000.625974.212809.314611.447577.173190
0.000000.333333
0.000000.000000.000000.000000.000000.000000.500000.750000
-0.0.2.3.4.6.10.0.1.2.2.2.2.2.
10.6.5.3.1.0.0.0.0.0.5.5.5.5.S.5.6.
6644510000005000009S93415589961922375000005839850000002500004423905UOOOO5COOOO
192237558996000000383893773871694532051336
000000000000000000278969500939688220353156
7.63011911.17.
12.4.
2.4.4.6.3.3.4.4.
389678129892
000000166667
000000OCOOOG000000ocoooo500000250000750000OCOOOO
0.0167580.8633162.2500003.7498165.2501106.92488411.0961180.7507081.6873252.0416672.2898052.4640492.5000002.500000
. 9.2817906.2540894.7587583.0891051.572897U. 5473480.0133870.0.0.5.0000005.0000005.0091605.3501555.5063285.7658216.5000288.00872812.34638118.086594
12.0000005.000000
2.0000004.0000006.0000006.0000004.0000003.5000002.7500004.250000
0.0755061.2.3.5.7.12.0.1.2.2.
075317500000998633500776363950000000961274774846083333326024
2.4818982.2.
8.6.4.2.1.0.0.0.0.0.5.5.5.5.5.5.6.8.13.19.
2.4.6.6.4.3.3.4.
500000500000
523084000000505645801122379335414819
000000000000036257412077519450857039650000463059303083043297
00000000000000000000000050UUOO750000000000500000
012457
112222
7542I00000555555691420
24665434
.3-BODY
.177876
.297026
.750000
.248171.
.750977
.890829'
.151886
.847875
.125000
.359299
.494743
.500000
.890829
.750000
.240505
.522935
.194856
.296525f
.
. ,,.000000.000000.079913.459720.542613.962749.832585.008256.259785.000000
.000000
.000000
.000000
.000000
.000000
.000000
.250000
.750000
TEST ITEST 1TEST 1TEST 1TEST 1
"
,%
TEST 1TEST I
' * >
TEST 1.TEST I
TEST ITEST I
TEST CASE2 1 10
2-BODY
411602240
2.0000004.0000004.COOOOO6.0000002.5000002.7500004.2500003.500000
1
1
02.0000004.0000004.00CCOO6.0000003.0000003.0000004.5000003.750000
2.0COOOO4.0000004.0f;00006.0':oooo3.5000003.2500004.75000C4.030000
2.000COO4.0000006.0000006.0000004.GO&0003.5000002.7500004.250000
2.0000004.0000006.0COOOO6.0000004.5000003.7500003.0000004.500000
2.QOOOOU4.0000006.000COO6.0000005.0000004.0000003.25000U4.750000
TEST 1TEST 1TEST 1TEST 1TEST 1TEST 1TEST 1TEST 1TEST 1
COMBYN INPUT
1027CO.0.0
10.0
6.0
24 990.00.0
16 24
2.5
TEST - 124 1
0.0 0.0 0.00.0
5.0 40
0.0 900,
HERE INSERT BINARY RECORD CARDS PUNCHED BY PROGRAM EOD
102700.0.0
30.00.06.0
24 99100.0.0
16 2490.
2.5
TEST-124 1
0.00.0
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REFERENCES
1. Stockman, Norbert 0.; and Lieblein, Seymour: .Theoretical Analysis of Flowin VTOL Lift Fan Inlets Without Crossflow. -NASA TN 0-5065., 1969.
2. Stockman, Norbert 0.: Potential Flow Solutions for Inlets of VTOL LiftFans and Engines. Analytical Methods in Aircraft Aerodynamics. NASASP-228, 1970, pp. 659-681.
3. Albers, James A.: Theoretical and Experimental Internal Flow Characteris-tics of a 13.97-Centimeter-Diameter Inlet at STOL Takeoff and Approach'Conditions. ' NASA TN D-7185, 1973.
4. Smith, A. M. O.j and Pierce, Jesse; Exact Solution of the Neumann Problem.Calculation of Non-Circulatory Plane and Axially Symmetric Flows About orWithin'Arbitrary Boundaries. Rep. £8-26988, Douglas Aircraft Co.,Apr. 25, 1958.
5. Hess, J. L.; and Smith, A. M. 0.: Calculation of Potential Flow AboutArbitrary Bodies. Progress in Aeronautical Sciences, vol. 8, D. Kuchemann,ed., Pergamon Press, 1967, pp. 1-138.
6. Hess, John L.: Calculation of Potential Flow About Bodies of RevolutionHaving Axes Perpendicular to the Free-Stream Direction; J. Aerospace
• .Sci., volo 29,; no. 6, June 1962, pp.'' 726-742. ..' • \. •-•' '. . '
7. Hess, John L.; and Smith, A. .M. 0.: A General Method for Calculating Low.: Speed Flow About Inlets. Aerodynamics of Power Plant Installation,Part 1. .;AGARDograph .103, 'pt..a, 1965, pp. :345-372. ;; ;:, . .,/ : . .
8,, Lieblein, S.; and Stockman, N. 0.: Compressibility Correction for InternalFlow Solutions, J. Aircraft, vol. 9, no. k, Apr. 1972, pp. 312-313,
216
10
r
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O Segment end point
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D Off-body points (rakes)
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StraightLine
7
Figure 1. Test case showing segmentation of inlet surfaces.
.2/7
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Figure 2. - Idealized profile of VTOL inlet.
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Figure 4. - Basic solutions,
AT ANY POINT, V = AVZ +. BV2 + CV3
A, B, AND C ARE DETERMINED BY
SPECIFYING VALUES OF: .
Vc AVERAGE AXIAL VELOCITY
AT CONTROL STATION
Veo MAGNITUDE OF FREE STREAM
VELOCITY
a DIRECTION OF FREE STREAM
VELOCITY RELATIVE TOTHE INLET AXIS
Figure 5. - Combined solution, V.
- CONTROLSTATION
CS-51791
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Figure 7. Sketches for SCIRCL input.
