The Barely Implicit Correction Algorithm for Low-Mach-Number Flows II: Application to Reactive Flows

Abstract In this paper, the Barely Implicit Correction (BIC) algorithm is applied to the simulation of low-Mach-number, reactive flows. The BIC algorithm is a solution procedure consisting of an explicit predictor step to solve the convective portion of the Navier-Stokes equations and an implicit corrector step which removes the acoustic limit on the integration time step. We show how to include reaction processes into the BIC integration procedure. The algorithm is then applied to four test problems with successively increased difficulty. First, a series of one-dimensional flames are computed, showing that BIC can reproduce the correct flame properties. Second, simulations of two-dimensional counter-flow diffusion flames show that the integration procedure can compute the structure of a strained diffusion flame. Third, triple flames are computed and the results show that BIC can compute complex and multi-dimensional heat release structures. Finally, simulations of a three-dimensional, unsteady fire whirl show that the algorithm can compute complex heat release structures in a turbulent vortex flow field. These results indicate that the algorithm is robust, stable for flows with combustion, and can be used to study a wide variety of reactive flows.