Modified Godunov Method for Multicomponent Flow Simulation

Abstract

Abstract The paper deals with the elaboration of the algorithm for multicomponent gas flows simulation in the presence of strong shock waves. In order to deal with strong shock wave properly the exact Riemann solver for multicomponent flow and non-perfect gases is used. Standard finite volume Godunov-type scheme gives the effect of numerical pressure oscillations on a contact discontinuity. In order to fix the situation the convenient modification of double flux method is described and tested. The simplicity and robustness of the method render it as good candidate for the realization in multi-D algorithms.