Abstract
SummaryA defect correction method for the convection—diffusion equation is presented. The discretization is performed by 2nd order finite difference schemes (ß-schemes) where the 2nd order upstream scheme is combined with the standard central scheme. Furthermore higher order discretizations with spectral methods are considered. For preconditioning the usual first order upstream scheme is employed. The defect correction iteration is used for relaxation inside a multigrid procedure. For the spectral scheme GMRES is used for the outer iteration. The method is applied to the Boussinesq flow problem in vorticity-streamfunction formulation with high Rayleigh numbers.
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