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arXiv · 1808.05175

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

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

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Sokratia Georgaka, Giovanni Stabile, Gianluigi Rozza, Michael J Bluck. 2018-08-15. Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems. https://arxiv.org/abs/1808.05175

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