6
IRUS Total
Downloads

Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems

File Description SizeFormat 
thermalmixing_rom[1].pdfAccepted version10.89 MBAdobe PDFView/Open
Title: Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems
Authors: Georgaka, S
Stabile, G
Rozza, G
Bluck, M
Item Type: Journal Article
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 reactor cooling systems. 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 regime. 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. The first test case results to a computational speed-up factor of 374 while the second test case to one of 211.
Issue Date: 2020
Date of Acceptance: 21-Jan-2019
URI: http://hdl.handle.net/10044/1/67510
DOI: 10.4208/cicp.OA-2018-0207
ISSN: 1815-2406
Publisher: Global Science Press
Start Page: 1
End Page: 32
Journal / Book Title: Communications in Computational Physics
Volume: 27
Issue: 1
Copyright Statement: This paper is embargoed until publication.
Sponsor/Funder: Rolls-Royce Plc
Funder's Grant Number: 5200048226
Keywords: Science & Technology
Physical Sciences
Physics, Mathematical
Physics
Proper orthogonal decomposition
finite volume approximation
Poisson equation for pressure
inf-sup approximation
supremizer velocity space enrichment
Navier-Stokes equations
REDUCED BASIS METHOD
PROPER ORTHOGONAL DECOMPOSITION
COHERENT STRUCTURES
BASIS APPROXIMATION
NAVIER-STOKES
STABILITY
EQUATIONS
FLOW
CONVERGENCE
PROJECTION
Applied Mathematics
Publication Status: Published
Online Publication Date: 2019-10-01
Appears in Collections:Faculty of Engineering
Mechanical Engineering



Unless otherwise indicated, items in Spiral are protected by copyright and are licensed under a Creative Commons Attribution NonCommercial NoDerivatives License.

Creative Commons