Multigrid Method for the Navier-Stokes and Boussinesq Equations

摘要

A nonlinear multigrid method is developed for the Navier-Stokes and Boussinesq equations. The discretization is of finite volume type on Cartesian staggered grids. A nonlinear collective Gauss-Seidel method is used for smoothing. A simple multigrid algorithm incorporating the V-, F-, W- and an adaptive multigrid cycle (A-cycle) is presented. Numerical experiments are described for a driven square cavity problem and a free convection problem in a rectangular cavity.