Numerical Simulation of Low Mach Number Reactive Flows

A new formulation for the numerical solution of low Mach number compressible flow problems is presented and analyzed. In this formulation the thermal part (energy and species equations) is solved implicitly and decoupled from the momentum equation, whereas the hydrodynamic part (momentumcontinuity) is advanced in time using a high order splitting approach which results in overall high order accuracy in time and minimal errors in mass conservation. These errors are analyzed using both analytical tools and benchmark numerical examples. Results from two-dimensional simulations with one-step global reaction in opposed jet flame and porous particle configurations are also presented.