MULTIGRID METHOD FOR THE NAVIER-STOKES EQUATIONS.

A multigrid method for solving the compressible Navier Stokes equations is presented. The dimensionless conservation equations are discretized by a finite volume technique and time integration is performed by using a multistage explicit algorithm. Convergence to a steady state is enhanced by local time stepping, implicit smoothing of the residuals and the use of multiple grids. The method has been implemented in two different ways: firstly a cell centered and secondly a corner point formulation (i. e. the unknown variables are defined either at the center of a computational cell or at its vertices). Computed results are presented for laminar and turbulent two dimensional flows over airfoils.