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Numerical Simulation of Greenwater Loading on the Foredeck of a Ship Geert Fekken Department of Mathematics University of Groningen P.O. Box 800 9700 AV Groningen August 1998

Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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Page 1: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

Numerical Simulation of Greenwater Loading onthe Foredeck of a Ship

Geert Fekken

Department of MathematicsUniversity of GroningenP.O. Box 8009700 AV Groningen August 1998

Page 2: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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Page 3: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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Page 5: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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Page 7: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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0 0.5 1 1.5 20

1

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4

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pres

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time (s)0 0.5 1 1.5 2

0

1

2

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4

5

6pressure 0.20 m from wall

time (s)

pres

sure

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0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

1.2

1.4

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2pressure 1.20 m from wall

time (s)

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b¤:5v+J-=X;tR-3hz$àÑ=X;FXFDJ-=X;F8CNVa:5§;=D;GNB|ua^7YG;FH:<NZB\a;QnU7MBD;== Na;ONL7B\J-=D7^/=D;7FDC+NycC+=Hu-=X;FDFXJ-=D;OC+FDYG:<^5^7MBD:<C+N-FkYC+Ja^<V_;P7:5=_-J-_-_-^5;Q;NB\=D7u-wx;NBÃ_-JaB|FD:5N-Y;7:<=QmLCon :<FON-CB:5N-Y^5J-V-;GV:<NÏUCwb¤^5C-Ã:5B:5FO^5:<EM;^5W­BDL7MBªBD-;FX;NKJ-wx;=D:5Y7^5^5W­C+_aFD;=A9+;GV®ua=D;FXFDJ-=X;FDu-:5E;GFÅFD-C+Ja^<V¢_`;Z7MBDBD=D:5_-JaB\;GV)B\CqN(Jaw;G=D:<Y7^ÑN-C+:<FX;3­Ý¡Cnk;G9;=GÃÑBDCq LN-VÏC+JaBOB\-;NL7MB\Ja=D;CcBD-:<FN-C+:5FD;Ã-cJa=XB\a;=:<N9;FXBD:<v7B\:<CNZ:<F=D;GIKJ-:<=X;Vl7N-VYC+wxu-=D;GFDFX:<_-^5;Q7:<=Um-CnßL7FB\CÄ_`;Q:<N-YG^<J-V-;GVy:<NZB\-;wC(V-;G^Õ3@$;G;× 4+4õØ/cC+=wC=D;V-;B7:5^<F3×ée 8¥ðî8 ð£ï:9Éú×ïX ïúóC|FXBDJ-VaWB\a:<F0u-=DC_-^<;Gw cJ-=XBD-;=GÃM;GFDu`;Y:<7^<^[WtB\a;Ñ L=XFXBu`;7EKF¤:5NPBD-;u-=D;GFDFXJ-=D;GF£7N-VPB\-;ÑFD^5C+u;Cc$B\-;n.7B\;=Ac=DC+NBÃL7v+=D:5V=D; LN-;Gw;GNKBHFAB\J-V$WnU7FV-C+N-;M3CÅ^5:<wx:5B£B\a;tYC+wxu-JaB\7MB\:5C+NBD:<wx;t7N-VZ_`;Y7J-FX;CcB\-;P2s#FD:[B\JL7B\:<CNZ7Åv+=D:5VnH:5B\yC+Na^5W×4YG;^5^:<NZB\=D7N-FA9+;=XFD;PV-:<=X;YB\:<CNn.7FHJ-FX;V3Ñ-;Qu-=X;FDFXJ-=D;GFnU;G=D;OV-;GBD;=Dwx:<Na;Vl7MBQ4ofÄYw÷-;G:<v+B¡7N-Vl:<NB\;Gv+=\7B\;Vl7^5C+N-vÄ7Å9+;=AB\:5Y7^0^<:5N-;tCcØxYGwÚ^<;GN-vBD3ka;FD:5wJ-^7B\:<CNnU7FV-C+N-;tcC=k -9;PVa:5§;=D;GNBHv+=D:5V-Fà£fÇag+aÃ4o2Çaf+aÃ4o~+ÇaØ+aÃ-2MRÇ42M7N-Vg++Ç4o]a3TU;Y7J-FX;tnU;¡nU;G=D;C+N-^[WÄ:<NB\;G=D;GFXB\;GVZ:<NxB\-;¡ L=DFABu;7EÅB\-;|YC+wxu-JaB\7MB\:5C+N-FnU;G=D;tFAB\C+uau;GVy7McB\;G=UC+N-;FD;GYC+N-V3C¡FXBDJ-VaWQB\a;kFXL7u`;kCc$B\-;nU7MB\;G=Xc=DCNKBÃMBD-;-;:5v+B¤Cc$B\-;£nU7MB\;G=¤7B¤ÝP4knU7FV-;GBD;=Dwx:<Na;V3

2$4

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0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

time (s)

heig

ht (

m)

60x30

0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

time (s)

heig

ht (

m)

120x60

0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

time (s)

heig

ht (

m)

180x90

0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

time (s)

heig

ht (

m)

240x120

0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

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time (s)

heig

ht (

m)

300x150

b¤:5v+J-=D;Ra3h~aàÝ¡;:5v+B\F¡7MB¡ÝO4

TU;Y7J-FD;)CcªBD-;Éc=X;;ÉFDJ-=Acd7Y;­B\=X;7MBDw;GNBÃt9M7=D:<7MB\:5C+N-FZCc7_`C+JaBC+N-;Év+=D:5VY;^5^Q:<N9+;=AB\:5Y7^V-:<=X;YB\:<CN7=X;8C+_-FX;=A9+;V3kbLC+=Ñ;Ça7wxu-^5;|cC+=B\-;|v+=D:5VCcfÇag+OC+Na;8Y;G^<^`:<Fk7_`C+JaB.ROYw :<Nx9+;=AB\:5Y7^V-:<=X;YB\:<CNÃL7N-VZcC+=.BD-;Qv+=D:5VyCcg+Ç4]Å:5B.:<F^<;GFDFB\-7N4QYGwl3

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0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

0.1

0.12

time (s)

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ht (

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combined

b:<v+J-=X;R-3ØaàÝ|;G:<v+B\F¡7MB¡ÝP4Q:<NyC+N-;Qv+=D7u-

UCwuL7M=D:<NavB\a;v+=\7Mu--FÃ:5B|:<F|Y^<;7=HB\L7MB|B\-;G=D;:5FtN-CZ_-:5vV-:[§;G=D;NaY;Å:<N×BD-;FX^<C+u`;FG3@$CZNaCZ:<wÅ>ua=DCo9+;Gw;GNKBU:<F£C+_$B7:5N-;VÄC+NÄB\-:5F:5B\;Gw7McBD;=v+=X:<V=X;G LNa;wx;NB3

2+2

Page 24: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

b¤:<vJ-=D;R-3[4oaà£=X;FDFXJ-=D;GF|cC+=Va:5§;=D;GNB|v=D:<VaFH7MBQ4ofÅYwÚa;:<vKB

0.5 0.6 0.7 0.8 0.9 10

0.5

1

1.5

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2.5

time (s)

pres

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60x30

0.5 0.6 0.7 0.8 0.9 10

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pres

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120x60

0.5 0.6 0.7 0.8 0.9 10

0.5

1

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2.5

time (s)

pres

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180x90

0.5 0.6 0.7 0.8 0.9 10

0.5

1

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2.5

time (s)

pres

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240x120

0.5 0.6 0.7 0.8 0.9 10

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1

1.5

2

2.5

time (s)

pres

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300x150

8Ftwx;NB\:5C+N-;GVq_`;GcC+=X;ÃBD-;ªua=D;FXFDJ-=X;9M7^<J-;GF|^5C$CEZwC+=X;OFAB7_a^<;OcC=¡BD-;O LNa;=8v=D:<VaF3|TU;FX:<V-;GFB\L7BÃ-B\a;=D;QFX;;wxFB\Cx_;NaCFX:<v+N-:[ LY7MNKBHVa:5§;=D;GN-Y;P7McBD;=v+=X:<Vy=D; LN-;Gw;GNKB3

TU;Y7J-FD;xcC+=tB\a;x LNa;FXBOv+=X:<VÂB\-;ÄYGC+wuaJaB7MBD:<C+N×BDC$CEÂ7_`C+JaBª2MRy-C+J-=XFÃN-Cy LN-;=Qv+=X:<V-Fnk;=X;J-FD;GVl_WZUC+wb^<C-Ã(_-JaBBDCÅ_;FXJ-=D;QCc0B\a;=D;FXJ-^5BDF.nU;-7o9;QY7=X=D:<;GVZC+JaBBD-;F\7wx;tFX:<wJ-^<7MB\:5C+N_W@a79+CcdØf8cC+=FDCw;U -N-;v+=D:5V-FàÑ4oØ2oÇ-fMR-Ãg+~RÇ4o2~t7N-VxzMf+~Ç-2+]fÄÔB\-;.a;:<vKBCcB\-;YGC+wuaJaB7MBD:<C+N-7^V-C+w7:<NZ:5FQ4OwÚ:5NZB\-;GFD;ªY7^<YGJ-^7B\:<CN-FÖÈ38^5FDCÄcC+=.B\-;GFD;Ov+=D:5V-F.B\-;P=D;GFDJ-^[B\FcC+=HÝP4ª7=X;QYC+w_a:<N-;GV:<NyC+N-;Qv+=D7u-Ô -v+J-=D;QR-3[4+4ÖÈ3

0.4 0.5 0.6 0.7 0.8 0.9 10

0.02

0.04

0.06

0.08

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time (s)

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b¤:5v+J-=D;Ra354+4à£Ý|;G:<v+B\F¡7MB¡ÝP4PcC=¡@a79+CcdØ+f

U^5;7=X^5WÃPBD-;FD^5C+u`;F×CcÅBD-;FX;¢v+=\7Mu--FÂ7=X;¢7^ >wxC+FAB;ÈÇ-7MYGB\^[WÏB\-;lF\7wx;Ã.FXC¢7^5FDC­cC+=@$7o9CcdØ+fBD-;=X;:<FN-CH:5wu-=XCo9+;wx;NB07B/B\-:5FuC:<NB07McBD;==X;> -N-;wx;NB3UÝ|Conk;G9+;G=ÃYC+w_a:<N-:5N-vB\-;Qv+=D7u--F¡CcUCwb¤^5CPnH:[B\v+=D:5Vg+Ç4]ª7MN-VZ@a79CcdØ+fPnH:[B\v=D:<V)zf+~ÇL2]f)Ô Lv+J-=X;R-3[42+ÖÈÃ7l_-:5v+v+;=QFX^<C+u`;:5FcCJ-N-VcC=U@$7o9CcdØ+faÃK_-J$BkBD-:<FV-C(;FN-CBk=D;GFDJ-^[BÑ:<N7Å L=XFXB¡u-=D;GFDFXJ-=D;Pu;7E­Ô Lv+J-=X;PRa354og+Ö

2g

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0.4 0.5 0.6 0.7 0.8 0.9 10

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b¤:<v+Ja=D;R-3[42$àÝP4QcC=¡@a79+CcdØ+fx7N-VqUC+wb¤^<C

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0.5 0.6 0.7 0.8 0.9 10

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2.5384x128

time (s)

pres

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0.5 0.6 0.7 0.8 0.9 10

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b¤:<v+Ja=D;R-3[4ogaà£=D;GFDFXJ-=D;GF8YCwu-J$B\;Vy_Wl@a79+CMcdØ+fÁ -;NÂL79(:<Nav7_`;GBXB\;G=|^5C$C+Ey7B| LvJ-=D;PR-3[4og×Ôd7N-V×7M^<FDCx Lv+J-=X;ORa354o+ÖÃLB\-;Ou-=D;GFDFXJ-=D;VaC$;GF8N-CB

FD;G;w÷B\CxYC+N9;=Dv;OB\C7YG;=AB7:5N aÇ$;GVqv+=D7u-×7cB\;=H=X;G LN-;Gw;GNBÃ7^5BD-C+J-v+ZBD-;Ov^<C+_L7M^_;GL79(:<C+J-==D;Gw7:5N-F8wxC+=X;OC+=|^<;GFDF8BD-;F\7Mw;M3 = N-Y;ªwC+=X;OBD-:<F|YC+Na -=DwxF8B\L7B8B\a;ª_`;L79(:<C+Ja=tCc£B\a;OnU7MB\;G=:<F.9;=XWyFX;N-FX:5BD:59+;QB\CÄFXw7^5^V-:[§;G=D;GN-Y;GF|:5NyBD-;Q:<N-:[B\:<7^YC+N-Va:5B\:5C+N-FG3

8N-CBD-;=uC:<NBÄnH-:<Y¿wx:<vKBx_`;l:5NB\;=X;FAB\:<Nav):<FÄB\a;l_`;L79(:<CJ-=Cc|B\-;lu-=D;GFDFXJ-=D;Â7BCBD-;=Ôd^5Cnk;=\ÖtuC+:5NB\FQC+N­B\-;ÅnU7^<^*Ã/;FDu`;YG:7^5^5WlB\-;x_;GL79(:<C+J-=QCcÑB\a;u`;7E3xÆFD:<wªJ-^7MBD:<C+N×nU7FPV-C+N-;nH:5BDÉBD-;ua=D;FXFDJ-=X;FOV-;GBD;=Dwx:<Na;V7MBx4ofYGwlÃ42ZYwÃ~YGwlÃfyYwÃRYw¦7MN-V2ZYw CNÉBD-;^5;GcBn.7M^<^=X;FDu`;YB\:[9+;^[WÔ LvJ-=D;QR-3[4RKÖÈ3

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Page 26: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

0 0.5 1 1.5 2 2.5 3 3.5 40

0.51

1.52

2.53

3.54

4.55

5.56

6.57

7.58

time (s)

pres

sure

(kP

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0.16 m

0 0.5 1 1.5 2 2.5 3 3.5 40

0.51

1.52

2.53

3.54

4.55

5.56

6.57

7.58

0.12 m

time (s)

pres

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0 0.5 1 1.5 2 2.5 3 3.5 40

0.51

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4.55

5.56

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7.58

time (s)

pres

sure

(kP

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0.08 m

0 0.5 1 1.5 2 2.5 3 3.5 40

0.51

1.52

2.53

3.54

4.55

5.56

6.57

7.58

0.06 m

time (s)

pres

sure

(kP

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0 0.5 1 1.5 2 2.5 3 3.5 40

0.51

1.52

2.53

3.54

4.55

5.56

6.57

7.58

time (s)

pres

sure

(kP

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0.04 m

0 0.5 1 1.5 2 2.5 3 3.5 40

0.51

1.52

2.53

3.54

4.55

5.56

6.57

7.58

time (s)

pres

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(kP

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0.02 m

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Page 32: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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Page 33: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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Page 36: Numerical Simulation of Greenwater Loading on the Foredeck of a Shipveldman/preprints/MSc-Fekken.pdf · 2002-09-13 · Numerical Simulation of Greenwater Loading on the Foredeck of

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