Greenside, H. S. and Cross, M. C. (1985) Stability analysis of two-dimensional models of three-dimensional convection. Physical Review A, 31 (4). pp. 2492-2501. ISSN 0556-2791 http://resolver.caltech.edu/CaltechAUTHORS:GREpra85
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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.
| Item Type: | Article |
|---|---|
| Additional Information: | ©1985 The American Physical Society Received 29 October 1984 |
| Record Number: | CaltechAUTHORS:GREpra85 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:GREpra85 |
| Alternative URL: | http://dx.doi.org/10.1103/PhysRevA.31.2492 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 5978 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 10 Nov 2006 |
| Last Modified: | 26 Dec 2012 09:16 |
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