Multigrid Solution of the Incompressible Navier-Stokes Equations and its Application to Parallel Computers

Abstract

The application of linear multigrid methods in conjunction with Krylov subspace methods on unstructured grids for two- and three-dimensional problems is shown. Also the use of such methods on hybrid grids for two-dimensional incompressible laminar and turbulent flows is presented. The necessary hierarchy of uniformly or locally refined grids is generated by a grid generation procedure especially useful for boundary layer flows. In the second part, emphasis is placed on the effect of parallelism on solvers and problems. Corresponding examples are a 2D driven cavity flow at Re=7500 and a 3D flow around a cylinder at Re=20.KeywordsMultigrid MethodUnstructured GridRefined GridKrylov Subspace MethodShear Stress TransportThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.