Development of parallel implicit Navier-Stokes solvers on MIMD multi-processor systems

The development of implicit numerical methods for the solution of the compressible Navier-Stokes equations on massively parallel systems is presented. The equations are solved for a generalized curvilinear coordinate system. Different numerical methods for the discretization of the fluxes as Flux Vector Splitting and Riemann solver up to third order of accuracy are parallelized. An implicit unfactored method is used for the solution of the system of equations using Gauss-Seidel subiteration states. The efficiency of the parallel Navier-Stokes solvers is investigated for compressible flow fields on different parallel machines while comparisons with single processor calculations are presented.