Galerkin spectral method for the vorticity and stream function equations
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. (C) 1999 Academic Press.
galerkin-legendre spectral methods navier-stokes equations glowinski-pironneau method