Abstract
This paper presents a parallel 3D computational method for compressible flows with both high and low Mach numbers. The present numerical method is applicable to shock wave problems and is able to capture discontinuity without artificial viscosity. In order to solve large scale problems efficiently, the computations were parallelized by flat MPI or OpenMP. The proposed computational method was applied to the spherical explosion problem with high Mach numbers as well as the Rayleigh-Benard convection with low Mach numbers. It was shown that the conservation of mass and other physical properties are sufficiently satisfied and that the predicted results agree reasonably with the theoretical values and reference values.
