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- W2070679708 abstract "Proper orthogonal decomposition (the Karhunen–Loève 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. No assumption of periodicity is made, and the computed velocity and temperature eigenfunctions are found to be centro‐symmetric. 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." @default.
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- W2070679708 date "1997-03-08" @default.
- W2070679708 modified "2023-10-16" @default.
- W2070679708 title "A reduced dynamical model of convective flows in tall laterally heated cavities" @default.
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- W2070679708 doi "https://doi.org/10.1098/rspa.1997.0037" @default.
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