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Galerkin Spectral Method for the Vorticity and Stream Function Equations

✍ Scribed by F Auteri; L Quartapelle

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
271 KB
Volume
149
Category
Article
ISSN
0021-9991

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✦ Synopsis

A Galerkin-Legendre spectral method for the solution of the vorticity and stream function equations in uncoupled form under no-slip conditions in a square domain is presented which fully exploits the separation of variables in the two elliptic problems, benefits from a nonsingular influence matrix, and is able to solve the singular driven cavity problem (modulo Gibbs' phenomenon) even without regularizing the boundary condition at the corners.

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