Parallel algorithm for detonation wave simulation

Abstract

Summary.A parallel algorithm which has sufficient scalability for time accurate solution of a propagating detonation wavefront is developed. The emphasis is placed on reduction of computational time without compromising accuracy. The flow was assumed to be unsteady, inviscid and non-heat-conducting and coupled with finite-rate chemistry. A finite volume formulation was employed to ensure conservation and proper handling of discontinuities. A Runge-Kutta second order scheme was utilized for a time accurate solution, with Roe second order flux splitting scheme for spatial solution. For additional higher order spatial accuracy, van Leer MUSCL technique was employed. Equation stiffness was overcome by point implicit treatment of the source terms. The parallel algortihm was developed using Message Passing Interface standard.