The Application of SSP-Runge-Kutta Method in Numerical Simulation of Hypersonic Chemical Nonequilibrium Flow

Abstract

In the process of re-entry vehicle, the atmosphere around the high temperature of air can produce chemical reaction, so chemical nonequilibrium effect should be considered. Numerical simulation of this complex flow field need high efficient time discretization method. In this paper, a numerical simulation of hypersonic chemical nonequilibrium flow in 2-dsemi-cylindrical is carried out by using a ten-stage fourth order SSP-Runge-Kutta method with strong stability preserving (SSP), and which compared with a three-stage third order TVD-Runge-Kutta method and a four-stage fourth order Runge-Kutta method. The results show that the stability of the ten-stage fourth order SSP-Runge-Kutta method is good, the time-step size can be longer, and the computation efficiency is higher.