NUMERICAL-SOLUTION OF THE 3-D BUOYANCY-DRIVEN CAVITY PROBLEM BY A PSEUDOSPECTRAL METHOD

Authors
SIVALOGANATHAN S KARAGEORGHIS A
Citation
S. Sivaloganathan et A. Karageorghis, NUMERICAL-SOLUTION OF THE 3-D BUOYANCY-DRIVEN CAVITY PROBLEM BY A PSEUDOSPECTRAL METHOD, Applied mathematics and computation, 75(1), 1996, pp. 43-58
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
75
Issue
1
Year of publication
1996
Pages
43 - 58
Database
ISI
SICI code
0096-3003(1996)75:1<43:NOT3BC>2.0.ZU;2-C
Abstract
The pseudospectral continuation technique introduced in Karageorghis a nd Sivaloganathan for 2-D recirculating flows is extended to three dim ensions. The pseudospectral/continuation strategy is applied to the vo rticity/vector potential formulation of the Boussinesq equations and u sed to successfully solve the three-dimensional air-filled buoyancy dr iven cavity problem at various Rayleigh numbers.