Amrdo(Heat Transfer Algorithm)

8/3/2019 Amrdo(Heat Transfer Algorithm)

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Lawr

ence

Liverm

ore

Natio

nal

Labo

rator

y

A Conservative Adaptive-Mesh Algorithm for

Unsteady, Combined-Mode Heat Transfer

Using the Discrete Ordinates Method

L.H. HowellR.B. Pember

P. ColellaJ.P. JesseeW.A. Fiveland

UCRL-JC-132144October 14, 1998

Center forApplied Scientific Computing


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DISCLAIMER

This document was prepared as an account of work sponsored by an agency of the UnitedStates Government. Neither the United States Government nor the University of Californianor any of their employees, makes any warranty, express or implied, or assumes any legalliability or responsibility for the accuracy, completeness, or usefulness of any information,apparatus, product, or process disclosed, or represents that its use would not infringeprivately owned rights. Reference herein to any specific commercial product, process, orservice by trade name, trademark, manufacturer, or otherwise, does not necessarily con-stitute or imply its endorsement, recommendation, or favoring by the United StatesGovernment or the University of California. The views and opinions ofauthors expressedherein do not necessarily state or reflect those of the United States Government or theUniversity of California, and shall not be used for advertising or product endorsementpurposes.

This work was performed under the auspices of the U.S. Dept. of Energy at LLNL undercontract no. W-7405-Eng-48.

PREPRINT

This is a preprint of a paper that was submitted to Numerical Heat Transfer, Part B:Fundamentals . This preprint is made available with the understanding that it will not becited or reproduced without the permission of the authors.


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0.001 0.002 0.005 0.01 0.02 0.05 0.1 0.2 0.30.0005

(x/R)/RePr

0.0

0.2

0.4

0.6

0.8

1.0

(Tb-T0)/(Tw-T0)

computed, 4x32, lev 2, 4x4

Pearce-Emery

-


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0.0005 0.001 0.002 0.005 0.01 0.02 0.05 0.1 0.2 0.3

(x/R)/RePr

6

8

10

20

40

60

80

100

Nu

PearceEmery

64x512, lev 0

16x128, lev 2, 2x2

8x64, lev 2, 2x4

4x32, lev 2, 4x4

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0.001 0.002 0.005 0.01 0.02 0.05 0.1 0.2 0.30.0005

(x/R)/RePr

0.0

0.2

0.4

0.6

0.8

1.0

(Tb-T0)/(T

w-T0)

computed, 4x4x168, lev 2, 4x4

solution from steady-state code

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0.0 1.0 2.0 3.0

time (sec)

0.000

0.025

0.050

0.075

0.100

flamelength(m)

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K

1.5625 sec 1.5852 sec 1.6049 sec

1.6244 sec 1.6435 sec 1.6532 sec

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Amrdo(Heat Transfer Algorithm)