A reduced dynamical model of convective flows in tall laterally heated cavities

A. Liakopoulos*, P. A. Blythe, H. Gunes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)

Abstract

Proper orthogonal decomposition (the Karhunen-Koeve expansion) is applied to convective flows in a tall differentially heated cavity. Empirical spatial eigenfunctions are computed from a multicellular solution at supercritical conditions beyond the first Hopf bifurcation. A low-dimensional model for the dynamical behaviour is then constructed using Galerkin projection. The reduced model successfully predicts the first Hopf bifurcation of the multicellular flow. Results determined from the low-order model are found to be in qualitative agreement with known properties of the full system even at conditions far from criticality.

Original languageEnglish
Pages (from-to)663-672
Number of pages10
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume453
Issue number1958
DOIs
Publication statusPublished - 1997
Externally publishedYes

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