Pod-Galerkin reduced order model of the Boussinesq approximation for buoyancy-driven enclosed flows

Research output: Contribution to report/book/conference proceedingsIn-proceedings paper

Authors

Institutes & Expert groups

  • Imperial College London
  • UGent - Universiteit Gent

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Abstract

A parametric Reduced Order Model (ROM) for buoyancy-driven flow is developed for which the Full Order Model (FOM) is based on the finite volume approximation and the Boussinesq approximation is used for modeling the buoyancy. Therefore, there exists a two-way coupling between the incompressible Boussinesq equations and the energy equation. The reduced basis is constructed with a Proper Orthogonal Decomposition (POD) approach and to obtain the Reduced Order Model, a Galerkin projection of the governing equations onto the reduced basis is performed. The ROM is tested on a 2D differentially heated cavity of which the side wall temperatures are parametrized. The parametrization is done using a control function method. The aim of the method is to obtain homogeneous POD basis functions. The control functions are obtained solving a Laplacian function for temperature. Only one full order solution was required for the reduced basis creation. The obtained ROM is stable for different parameter sets for which the temperature difference between the walls is smaller than for the set in the FOM used for the POD basis creation. Then, the relative error between the FOM and the ROM for temperature is below 10−4 and for velocity below 10−1 for the vast part of the simulation time. Finally, the ROM is about 20 times faster than the FOM run on a single processor.

Details

Original languageEnglish
Title of host publicationInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019
PublisherANS - American Nuclear Society
Pages2452-2461
Number of pages10
Volume1
EditionM&C 2019
ISBN (Print)9780894487699
Publication statusPublished - Aug 2019
EventInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering 2019 - Portland Mariott Downtown Waterfrond, Portland, United States
Duration: 25 Aug 201929 Aug 2019
https://www.mc2019.org/

Conference

ConferenceInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering 2019
Abbreviated titleM and C 2019
CountryUnited States
CityPortland
Period2019-08-252019-08-29
Internet address

Keywords

  • Finite volume, Galerkin projection, Reduced order modelling, Proper orthogonal decomposition

ID: 6736658