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.
|Title of host publication||Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987)|
|Place of Publication||New York|
|Publisher||Marcel Dekker Inc.|
|Publication status||Published - 1988|
|Name||Lecture Notes in Pure and Applied Mathematics|