A multigrid solver for the steady incompressible Navier-Stokes equations on curvilinear coordinate systems
A multigrid solver for the steady incompressible Navier-Stokes equations on a curvilinear grid is constructed. The Cartesian velocity components are used in the discretization of the momentum equations. A staggered, geometrically symmetric distribution of velocity components is adopted which eliminates spurious pressure oscillations and facilitates the transformation between Cartesian and co- or contravariant velocity components. The symmetrical collective Gauss-Seidel relaxation scheme proposed on a Cartesian grid is extended to this case to serve as the smoothing procedure of the multigrid solver, in both ``box'' and ``box- line'' versions. Some preliminary numerical experiences with this scheme are presented.
symmetrical collective Gauss-Seidel relaxation scheme
scientific article; zbMATH DE number 651855