NUMERICAL ANALYSIS OF OSCILLATORY INSTABILITY OF BUOYANCY CONVECTION WITH THE GALERKIN SPECTRAL METHOD
作者:
A. Yu. Gelfgat,
I. Tanasawa,
期刊:
Numerical Heat Transfer, Part A: Applications
(Taylor Available online 1994)
卷期:
Volume 25,
issue 6
页码: 627-648
ISSN:1040-7782
年代: 1994
DOI:10.1080/10407789408955970
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The Galerkin spectral method with basis Junctions previously introduced by Gelfgat 111 is applied for analysis of oscillatory instability of convective flows in laterally heated rectangular cavities. Convection of water and air in a square cavity, and convection of a tow-Prandtl-number fluid in a square cavity, and a cavity with a ratio length / height of 4 are considered. Patterns of the most unstable perturbations of the stream function and the temperature are presented, and mechanisms of oscillatory instability are discussed. Comparison with other numerical investigations shows that the Galerkin method with divergent-free basis functions, which satisfy all the boundary conditions, needs fewer modes than other methods using discretization of the flow region.
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