Galerkin spectral method for the vorticity and stream function equations

Authors
Auteri, F Quartapelle, L
Citation
F. Auteri et L. Quartapelle, Galerkin spectral method for the vorticity and stream function equations, J COMPUT PH, 149(2), 1999, pp. 306-332
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
149
Issue
2
Year of publication
1999
Pages
306 - 332
Database
ISI
SICI code
0021-9991(19990301)149:2<306:GSMFTV>2.0.ZU;2-8
Abstract
A Galerkin-Legendre spectral method for the solution of the vorticity and s tream function equations in uncoupled form under no-slip conditions in a sq uare domain is presented which fully exploits the separation of variables i n the two elliptic problems, benefits from a nonsingular influence matrix, and is able to solve the singular driven cavity problem (modulo Gibbs' phen omenon) even without regularizing the boundary condition at the corners. (C ) 1999 Academic Press.