TY - JOUR
T1 - Numerical analysis of oscillatory instability of buoyancy convection with the galerkin spectral method
AU - Gelfgat, A. Yu
AU - Tanasawa, I.
N1 - Funding Information:
Received 26 April 1993; accepted 2 July 1993. The authors wish to acknowledge the Ministry of Education, Science and Culture of Japan, and Japan Society for Promotion of Science for providing support for this research (grant 92024). Address correspondence to I. Tanasawa, Institute of Industrial Science, The University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo, Japan.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1994/6
Y1 - 1994/6
N2 - The Galerkin spectral method with basis functions previously introduced by Gelfgat [1] 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 low-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.
AB - The Galerkin spectral method with basis functions previously introduced by Gelfgat [1] 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 low-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.
UR - http://www.scopus.com/inward/record.url?scp=0028444611&partnerID=8YFLogxK
U2 - 10.1080/10407789408955970
DO - 10.1080/10407789408955970
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AN - SCOPUS:0028444611
SN - 1040-7782
VL - 25
SP - 627
EP - 648
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
IS - 6
ER -