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Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems

TitleParametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems
Publication TypeJournal Article
Year of Publication2019
AuthorsGeorgaka, S, Stabile, G, Rozza, G, Bluck, MJ
JournalCommunications in Computational Physics
Volume27
Pagination1–32
ISSN1991-7120
Abstract

A parametric reduced order model based on proper orthogonal decom- position with Galerkin projection has been developed and applied for the modeling of heat transport in T-junction pipes which are widely found in nuclear power plants. Thermal mixing of different temperature coolants in T-junction pipes leads to tem- perature fluctuations and this could potentially cause thermal fatigue in the pipe walls. The novelty of this paper is the development of a parametric ROM considering the three dimensional, incompressible, unsteady Navier-Stokes equations coupled with the heat transport equation in a finite volume approximation. Two different paramet- ric cases are presented in this paper: parametrization of the inlet temperatures and parametrization of the kinematic viscosity. Different training spaces are considered and the results are compared against the full order model.

URLhttps://arxiv.org/abs/1808.05175
DOI10.4208/cicp.OA-2018-0207

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