The solution of the NavierStokes equations using GaussSeidel line relaxation
Abstract
The NavierStokes equations in an implicit fluxsplit difference formulation are solved numerically using a GaussSeidel linerelaxation procedure. Particular attention is given to the selection of fluxvector splitting method and flux splitting in boundary layers. Results for sample problems involving (1) turbulent supersonic flow over a cone and (2) the viscous hypersonic flow of a chemically reacting gas in thermal nonequilibrium past a blunted cone are presented in extensive graphs and briefly characterized. The present fluxsplit procedures are shown to provide accurate shearlayer calculations.
 Publication:

Computers and Fluids
 Pub Date:
 1989
 Bibcode:
 1989CF.....17..135M
 Keywords:

 Flux Vector Splitting;
 Hypersonic Flow;
 NavierStokes Equation;
 Relaxation Method (Mathematics);
 Boundary Layer Equations;
 Jacobi Matrix Method;
 Shear Layers;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer