A NUMERICAL SCHEME FOR INVISCID COMPRESSIBLE FLOW, CONSIDERING A GAS IN THERMO-CHEMICAL EQUILIBRIUM

摘要

In this work, a finite difference scheme for the solution of the unsteady one and two dimensional Euler equations, considering the working gas in thermo-chemical equilibrium, is presented. With the aim of achieving Total Variation Diminishing (TVD) properties in the numerical scheme, a technique proposed in [1], based on the adaptive use of different limiter functions in each wave of the Riemann problem, is applied. With this technique, the unwanted effects of the articial viscosity on the capture of contact discontinuities are reduced, but without losing robustness in shock waves resolution. In order to test the scheme in the bidimensional case, results of the unsteady flow in cylindrical explosions, and of the steady state solution of hypersonic flow over a blunt body, are presented.