Multigrid, defect correction and upwind schemes for the steady Navier-Stokes equations
Abstract
It is shown that the geometric multigrid method is a feasible method for the efficient solution of the steady, full Navier-Stokes equations. Computational results are presented for a sub- and supersonic flat plate flow, the latter with an oblique shock impinging on the boundary layer. The results also emphasize the importance of carefully checking the reliability of a computed Navier-Stokes solution, especially with regard to numerical errors introduced by the discretization of the convective part.
- Publication:
-
Numerical Methods for Fluid Dynamics III
- Pub Date:
- 1988
- Bibcode:
- 1988nmfd.proc..153H
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Volume Method;
- Laminar Flow;
- Multigrid Methods;
- Navier-Stokes Equation;
- Steady Flow;
- Two Dimensional Flow;
- Boundary Layer Flow;
- Cauchy Problem;
- Compressible Flow;
- Discrete Functions;
- Flat Plates;
- Gauss Equation;
- Matrices (Mathematics);
- Shock Waves;
- Subsonic Flow;
- Supersonic Flow;
- Fluid Mechanics and Heat Transfer