Solution of flow in complex geometries by the pseudospectral element method
A multigrid domain decomposition approach with the Schwarz alternating procedure has been developed for the solution of flow in complex geometries. The discretization is performed by the pseudospectral element method in primitive variable form. The complex geometry is approximated by isoparametric elements where each block is transformed onto a simple square (or cube). Schwarz alternating procedure is used to exchange data among the blocks. Multigrid solvers are employed, and the pressure equation is efficiently solved by the two-level preconditioned minimal residual method in terms of eigenfunction expansion technique. The presented method is applied to two-dimensional flow over a cylinder in a channel and three-dimensional bifurcation flow.
two-dimensional flow over cylinder in channel
two-level preconditioned minimal residual method
scientific article; zbMATH DE number 758597