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

Journal: 

Communications in Computational Physics

Date: 

2019

Authors: 

Sokratia Georgaka and Giovanni Stabile and Gianluigi Rozza and Michael J. Bluck

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.

 

@article{GeorgakaStabileRozzaBluck2019,
author = {Sokratia Georgaka and Giovanni Stabile and Gianluigi Rozza and Michael J. Bluck},
journal = {Communications in Computational Physics},
title = {Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems},
year = {2019},
issn = {1991-7120},
number = {1},
pages = {1--32},
volume = {27},
doi = {10.4208/cicp.OA-2018-0207},
}