A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem

Pla, Francisco and Herrero, Henar and Vega De Prada, Jose Manuel (2015). A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem. "Computers and Fluids", v. 119 ; pp. 162-175. ISSN 0045-7930. https://doi.org/10.1016/j.compfluid.2015.06.032.

Description

Title: A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem
Author/s:
  • Pla, Francisco
  • Herrero, Henar
  • Vega De Prada, Jose Manuel
Item Type: Article
Título de Revista/Publicación: Computers and Fluids
Date: 22 September 2015
ISSN: 0045-7930
Volume: 119
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A flexible Galerkin method based on proper orthogonal decomposition (POD) is described to construct the bifurcation diagram, as the Rayleigh number R is varied, in the Rayleigh–Bénard convection in a rectangular box for large Prandtl number. The bifurcation diagram is approximated using the POD modes resulting from unconverged snapshots for just one specific value of R, calculated in either Newton iterations or time-dependent runs converging to steady states. Moreover, the selection of the specific value of R is quite flexible. In addition, a horizontal reflection symmetry is taken into account to construct a symmetry-preserving Galerkin system. The resulting un-symmetric and symmetric low dimensional systems are combined with a basic continuation method, which provide the bifurcation diagram at a quite low computational cost.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2012-37642UnspecifiedUnspecifiedMatemáticas para problemas de interes geofísico y consultoria
Government of SpainTRA2013-45808-RUnspecifiedUnspecifiedSimulación eficiente de sistemas aeronáuticos

More information

Item ID: 41309
DC Identifier: http://oa.upm.es/41309/
OAI Identifier: oai:oa.upm.es:41309
DOI: 10.1016/j.compfluid.2015.06.032
Official URL: http://www.sciencedirect.com/science/article/pii/S0045793015002236?np=y
Deposited by: Memoria Investigacion
Deposited on: 30 Sep 2016 10:46
Last Modified: 30 Sep 2016 10:46
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