Published April 1, 1985
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Journal Article
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Stability analysis of two-dimensional models of three-dimensional convection
- Creators
- Greenside, H. S.
- Cross, M. C.
Abstract
Analytical and numerical methods are used to study the linear stability of spatially periodic solutions for various two-dimensional equations which model thermal convection in fluids. This analysis suggests new model equations that will be useful for investigating questions such as wave-number selection, pattern formation, and the onset of turbulence in large-aspect-ratio Rayleigh-Bénard systems. In particular, we construct a nonrelaxational model that has stability boundaries similar to those calculated for intermediate Prandtl-number fluids.
Additional Information
©1985 The American Physical Society Received 29 October 1984Files
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- Eprint ID
- 5978
- Resolver ID
- CaltechAUTHORS:GREpra85
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