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 language | English |
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Pages (from-to) | 663-672 |
Number of pages | 10 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 453 |
Issue number | 1958 |
DOIs | |
Publication status | Published - 1997 |
Externally published | Yes |