Implicit hybrid schemes for the fluxdifference split, threedimensional NavierStokes equations
Abstract
Implicit hybrid algorithms employing symmetric planar GaussSeidel (SPGS) relaxation and either blocktridiagonally structured coefficient matrices (AFSPGS) or blocktriangular coefficient matrices (LUSPGS) are derived to solve the fluxdifferencesplit NavierStokes equations for threedimensional incompressible flow in an upwind scheme. The physical basis of the approach is discussed, and results for problems involving vortex flow around a thin delta wing at Reynolds numbers 900,000 and 10,000 are presented graphically. It is found that AFSPGS converges faster on vector computers which depend on long vector lengths to achieve optimum performance, whereas LUSPGS is preferable on sequentially operating machines and vector computers using shorter vector lengths.
 Publication:

Chinese Aerodynamics Research Society
 Pub Date:
 June 1986
 Bibcode:
 1986cars.conf.....H
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Delta Wings;
 Finite Difference Theory;
 NavierStokes Equation;
 Vortices;
 Algorithms;
 Computational Grids;
 Iterative Solution;
 Jacobi Matrix Method;
 Fluid Mechanics and Heat Transfer