A multigrid method for high speed reactive flows

This paper presents a multigrid method for computing inviscid and viscous high speed steady-state hydrogen/oxygen and hydrogen/air 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. Results indicate good multigrid speedups and adequate resolution of the reaction zone in both inviscid axisymmetric and viscous two-dimensional test cases. The method lends itself to efficient parallel computations, thus enabling the calculation of reactive flows with detailed chemical kinetics.