Some aspects of high-speed blunt body flow computations with Roe scheme

TLDR: In this paper, an upwind total variation diminishing formulation of the Roe Riemann solver within the cell-centered finite volume approach was used for three-dimensional supersonic and hypersonic inviscid blunt body flow computations.

Abstract: This paper discusses some aspects of three-dimensional supersonic and hypersonic inviscid blunt body flow computations. The method used is based on the solution of the Euler equations employing an explicit, upwind total variation diminishing formulation of the Roe Riemann solver within the cell-centered finite volume approach. A comparative study of various total variation diminishing limiters and entropy fixes is carried out to identify the most appropriate combination. The effect of using cell spacing in the total variation diminishing extrapolations is highlighted. Furthermore, a Mach number dependence and grid sensitivity study is carried out on various total variation diminishing limiters scaled with mesh spacing. Local time stepping and code parallelization has been employed to accelerate convergence in terms of effective wall clock times.