Mathematics – Dynamical Systems
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jfm...147....1c&link_type=abstract
Journal of Fluid Mechanics (ISSN 0022-1120), vol. 147, Oct. 1984, p. 1-38.
Mathematics
Dynamical Systems
125
Convective Flow, Rayleigh-Benard Convection, Three Dimensional Flow, Two Dimensional Flow, Power Spectra, Prandtl Number, Rayleigh Number, Stream Functions (Fluids), Time Dependence, Time Series Analysis
Scientific paper
The behavior of free-slip Rayleigh-Benard convection is studied. The resemblance of the behavior of low-order dynamical systems to the behavior of a Boussinesq fluid is examined, and the nature of transitions and turbulence in twoand three-dimensional Boussinesq fluids is studied in some detail. The dynamical and numerical methods applied in the study are summarized, and the transitional behavior of finite-mode systems obtained by Galerkin projection of the two-dimensional dynamics is compared with the accurate solutions of the Boussinesq equations. The states of high Prandtl number two-dimensional convection are studied, and the character of three-dimensional convection is discussed.
Curry J. H.
Herring Jackson R.
Loncaric J.
Orszag Steven A.
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