Solution of the steady Euler equations by a multigrid method

An efficient multigrid method to obtain second-order accurate solutions of the 2D steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid (FAS-) iteration method and on a defect correction principle. Both first- and second-order accurate finite volume upwind discretizations are considered. In the second-order discretization a limiter is used. The method does not require any tuning of parameters. Flow solutions are presented for a channel and an airfoil. The solutions show good resolution of all flow phenomena and are obtained at low computational cost