Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems
Abstract
A parametric reduced order model based on proper orthogonal decomposition 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 temperature 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 parametric 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.
Cite
@article{arxiv.1808.05175,
title = {Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems},
author = {Sokratia Georgaka and Giovanni Stabile and Gianluigi Rozza and Michael J Bluck},
journal= {arXiv preprint arXiv:1808.05175},
year = {2019}
}
Comments
27 pages, 16 figures, 5 tables