2020-11-24T09:25:05Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:41309
2016-09-30T10:46:56Z
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A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem
Pla, Francisco
Herrero, Henar
Vega De Prada, Jose Manuel
Aeronautics
Mathematics
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.
E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2015-09-22
info:eu-repo/semantics/article
Article
Computers and Fluids, ISSN 0045-7930, 2015-09-22, Vol. 119
PeerReviewed
application/pdf
eng
http://www.sciencedirect.com/science/article/pii/S0045793015002236?np=y
MTM2012-37642
TRA2013-45808-R
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.compfluid.2015.06.032
http://oa.upm.es/41309/