A thorough code verification effort has been performed on a reduced order, finite element model for one-dimensional (1D) fluid flow convectively coupled with a three-dimensional (3D) solid, referred to as the “advective bar” model. The purpose of this effort was to provide confidence in the proper implementation of this model within the sierra/aria thermal response code at Sandia National Laboratories. The method of manufactured solutions (MMS) is applied so that the order of convergence in error norms for successively refined meshes and timesteps is investigated. Potential pitfalls that can lead to a premature evaluation of the model's implementation are described for this verification approach when applied to this unique model. Through observation of the expected order of convergence, these verification tests provide evidence of proper implementation of the model within the codebase.

References

References
1.
Edwards
,
H. C.
, and
Stewart
,
J. R.
,
2001
, “
SIERRA: A Software Environment for Developing Complex Multiphysics Applications
,”
First MIT Conference on Computational Fluid and Solid Mechanics
, Cambridge, MA, June 12–15.
2.
Sierra Thermal/Fluid Development Team
,
2016
, “
SIERRA Multimechanics Module: Aria Thermal Theory Manual—Version 4.42
,” White Paper, Unlimited Release, Sandia National Laboratories, Albuquerque, NM, Report No. SAND2016-10167.
3.
Reddy
,
J. N.
, and
Gartling
,
D. K.
,
1994
,
The Finite Element Method in Heat Transfer and Fluid Dynamics
,
CRC Press
,
Boca Raton, FL
.
4.
Knupp
,
P.
, and
Kambiz
,
S.
,
2003
,
Verification of Computer Codes in Computational Science and Engineering
,
Chapman & Hall/CRC
, Boca Raton, FL.
5.
Silva
,
H.
, III.
, and
Carnes
,
B.
,
2016
, “
Fully Two-Dimensional Verification Problem for Coupled Heat Conduction and Enclosure Radiation
,”
J. Thermophys. Heat Transfer
,
40
(
4
), pp.
799
803
.
6.
Mahadevan
,
V. S.
,
Ragusa
,
J. C.
, and
Mousseau
,
V. A.
,
2012
, “
A Verification Exercise in Multiphysics Simulations for Coupled Reactor Physics Calculations
,”
Prog. Nucl. Energy
,
55
, pp.
12
32
.
7.
Choudhary
,
A.
,
Roy
,
C.
,
Dietiker
,
J.
,
Shahnam
,
M.
, and
Garg
,
R.
,
2016
, “
Code Verification for Multiphase Flow Using the Method of Manufactured Solutions
,”
Int. J. Multiphase Flow
,
80
, pp.
15
163
.
8.
Dobranich
,
D.
,
1993
, “
SAFSIM Theory Manual—A Computer Program for the Engineering Simulation of Flow Systems
,” White Paper, Unlimited Release, Sandia National Laboratories, Albuquerque, NM, Report No. SAND92-0693.
9.
Oberkampf
,
W.
, and
Christopher
,
R.
,
2010
,
Verification and Validation in Scientific Computing
,
Cambridge University Press
,
New York
.
10.
Roache
,
P. J.
,
1998
,
Verification and Validation in Computational Science and Engineering
,
Hermosa
,
Albuquerque, NM
.
11.
Hughes
,
T.
,
Franca
,
L.
, and
Hulbert
,
G.
,
1989
, “
A New Finite Element Formulation for Computational Fluid Dynamics—Part VII: The Galerkin/Least-Squares Method for Advective-Diffusive Equations
,”
Comput. Methods Appl. Mech. Eng.
,
73
(
2
), pp.
173
189
.
12.
Hughes
,
T. J. R.
,
2000
,
The Finite Element Method
,
Dover Publications
,
Mineola, NY
.
13.
Incropera
,
F.
,
Dewitt
,
D.
,
Bergman
,
T.
, and
Lavine
,
A.
,
2007
,
Fundamentals of Heat and Mass Transfer
,
6th ed.
,
Wiley
,
Hoboken, NJ
.
14.
Gnielinski
,
V.
,
1976
, “
New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow
,”
Int. Chem. Eng.
,
16
(
2
), pp.
359
367
.
15.
Bond
,
R.
,
Ober
,
C.
,
Knupp
,
P.
, and
Bova
,
S.
,
2007
, “
Manufactured Solution for Computational Fluid Dynamics Boundary Condition Verification
,”
AIAA J.
,
45
(
9
), pp. 2224–2236.
You do not currently have access to this content.