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Title: Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities

Abstract

A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models. The understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical. Additionally, the ability to evaluate and or approximate the model efficiently, to allow development of a reasonable level of statistical diagnostics of the mathematical model and the physical system, is of central importance. In our study we report on initial efforts to apply integrated adjoint-based computational analysis and automatic differentiation tools to begin to address these issues. The study is carried out in the context of a Reynolds averaged Navier–Stokes approximation to turbulent fluid flow and heat transfer using a particular spatial discretization based on implicit fully-coupled stabilized FE methods. We present the initial results that show the promise of these computational techniques in the context of nuclear reactor relevant prototype thermal-hydraulics problems.

Authors:
 [1];  [2];  [3];  [4];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Computational Mathematics Dept. and Dept. of Mathematics and Statistics
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiphysics Applications Dept.
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Computational Mathematics Dept.
  4. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Optimization and UQ Dept.
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE); USDOE Office of Science (SC)
OSTI Identifier:
1338379
Alternate Identifier(s):
OSTI ID: 1329336
Report Number(s):
SAND2016-12353J
Journal ID: ISSN 0021-9991; 649724
Grant/Contract Number:  
AC04-94AL85000; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 321; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Reynolds averaged Navier–Stokes; Stabilized finite elements; Adjoints; Sensitivities; Error-estimation; Uncertainty quantification

Citation Formats

Shadid, J. N., Smith, T. M., Cyr, E. C., Wildey, T. M., and Pawlowski, R. P. Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. United States: N. p., 2016. Web. doi:10.1016/j.jcp.2016.04.062.
Shadid, J. N., Smith, T. M., Cyr, E. C., Wildey, T. M., & Pawlowski, R. P. Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities. United States. https://doi.org/10.1016/j.jcp.2016.04.062
Shadid, J. N., Smith, T. M., Cyr, E. C., Wildey, T. M., and Pawlowski, R. P. Fri . "Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities". United States. https://doi.org/10.1016/j.jcp.2016.04.062. https://www.osti.gov/servlets/purl/1338379.
@article{osti_1338379,
title = {Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities},
author = {Shadid, J. N. and Smith, T. M. and Cyr, E. C. and Wildey, T. M. and Pawlowski, R. P.},
abstractNote = {A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models. The understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical. Additionally, the ability to evaluate and or approximate the model efficiently, to allow development of a reasonable level of statistical diagnostics of the mathematical model and the physical system, is of central importance. In our study we report on initial efforts to apply integrated adjoint-based computational analysis and automatic differentiation tools to begin to address these issues. The study is carried out in the context of a Reynolds averaged Navier–Stokes approximation to turbulent fluid flow and heat transfer using a particular spatial discretization based on implicit fully-coupled stabilized FE methods. We present the initial results that show the promise of these computational techniques in the context of nuclear reactor relevant prototype thermal-hydraulics problems.},
doi = {10.1016/j.jcp.2016.04.062},
journal = {Journal of Computational Physics},
number = C,
volume = 321,
place = {United States},
year = {Fri May 20 00:00:00 EDT 2016},
month = {Fri May 20 00:00:00 EDT 2016}
}

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Cited by: 7 works
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Works referencing / citing this record:

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