Performance of some Limiters on the Higher Order Computation of Inviscid Hypersonic Flows

The Advection Upstream Splitting Method (AUSM) is used to compute 2D inviscid hypersonic flow over a semi-cylinder on a finite volume framework. Solution reconstruction to achieve higher order accuracy is done using the MUSCL-type reconstruction technique with the Van Albada and Hemker-Koren limiter functions. The gas models under consideration are the perfect gas model and the high temperature equilibrium chemically reacting air model of Tannehill and Mugge. The performance of these limiters in computing hypersonic flows is analyzed and compared with the first order accurate method.Keywords:Hypersonic, shock, reconstruction, limite

Diffusion regulation for Euler solvers

A diffusion regulation parameter, which operates based on the jump in the Mach number, is presented for implementation in Euler solvers. This diffusion regulation parameter adjusts itself automatically in different regimes of the flow and leads to the exact capturing of steady contact discontinuities which are aligned with the grid-lines. This diffusion regulator parameter reduces numerical dissipation, is very simple and can be easily incorporated in any Euler solver. By coupling such a parameter with a simple numerical method like the Local Lax-Friedrichs (Rusanov) method, an accurate and yet simple numerical method is developed for the numerical simulation of inviscid compressible fluid flows. To demonstrate the applicability of this approach to any Euler solver, the diffusion regulation parameter is also applied in the framework of a Kinetic Scheme which is very diffusive and the improvements in the accuracy for both the methods are demonstrated through several bench-mark test problems