A projection method for low Mach number fast chemistry reacting flow

We present a numerical technique for treating unsteady, low Mach number reacting flow. For fast chemistry nonpremixed combustion, the reaction effects arc generated using a conserved scalar, the mixture fraction. Such an approach yields species concentration information via post-processing rather than through the integration of species equations. Limits on the range of the conserved scalar are enforced using a conservative redistribution of overshoots rather than through traditional slope limiting methods. An approximate projection method is employed to enforce the non-zero divergence constraint. The method is second order in space and time. We examine a gaussian conserved scalar field advected in a developed axisyrnmetric pipe flow.