Projection-Based Model Reduction for Coupled Conduction—Enclosure Radiation Systems

Brunini, Victor; Parish, Eric J.; Tencer, John; Rizzi, Francesco

doi:10.1115/1.4053994

Projection-Based Model Reduction for Coupled Conduction—Enclosure Radiation Systems

Journal Article · Tue Apr 05 00:00:00 EDT 2022 · Journal of Heat Transfer

DOI:https://doi.org/10.1115/1.4053994· OSTI ID:1894610

Brunini, Victor ^[1]; Parish, Eric J. ^[1]; Tencer, John ^[2]; Rizzi, Francesco ^[3]

Sandia National Laboratories (SNL-CA), Livermore, CA (United States)
Sandia National Laboratory (SNL-NM), Albuquerque, NM (United States)
NexGen Analytics, Sheridan, WY (United States)

We report a projection-based reduced order model (pROM) methodology has been developed for transient heat transfer problems involving coupled conduction and enclosure radiation. The approach was demonstrated on two test problems of varying complexity. The reduced order models demonstrated substantial speedups (up to 185×) relative to the full order model with good accuracy (less than 3% L^∞ error). An attractive feature of pROMs is that there is a natural error indicator for the ROM solution: the final residual norm at each time-step of the converged ROM solution. Using example test cases, we discuss how to interpret this error indicator to assess the accuracy of the ROM solution. The approach shows promise for many-query applications, such as uncertainty quantification and optimization. The reduced computational cost of the ROM relative to the full-order model (FOM) can enable the analysis of larger and more complex systems as well as the exploration of larger parameter spaces.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-CA), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1894610

Report Number(s):: SAND2022-13080J; 710629

Journal Information:: Journal of Heat Transfer, Journal Name: Journal of Heat Transfer Journal Issue: 6 Vol. 144; ISSN 0022-1481

Publisher:: ASMECopyright Statement

Country of Publication:: United States

Language:: English

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