An Efficient Multigrid Algorithm for Compressible Reactive Flows

Abstract

This paper presents a parallel multigrid method for computing inviscid and viscous high speed steady-state reactive flows. The governing equations for reactive flow are solved using an explicit multigrid algorithm while treating the chemical source terms in a point implicit manner. The CUSP (Convective Upwind and Split Pressure) scheme is used to provide necessary artificial dissipation without contaminating the solution. This explicit method yields excellent parallel speedups, thus enabling the calculation of reactive flows with detailed chemical kinetics including large numbers of species and reactions. Results indicate good multigrid speedups and adequate resolution of the reaction zone in both inviscid axisymmetric and viscous two-dimensional hydrogen/oxygen and hydrogen/air test cases.