A STEADY PSEUDO-COMPRESSIBILITY APPROACH BASED ON UNSTRUCTURED HYBRID FINITE VOLUME TECHNIQUES APPLIED TO TURBULENT PREMIXED FLAME PROPAGATION

Abstract

A pseudo-compressibility method for zero Mach number turbulent reactive
flows with heat release is combined with an unstructured finite volume
hybrid grid scheme. The spatial discretization is based on an overlapped cell
vertex approach. An infinite freely planar flame propagating into a turbulent
medium of premixed reactants is considered as a test case. The recourse to a
flamelet combustion modeling for which the reaction rate is quenched in a
continuous way ensures the uniqueness of the turbulent flame propagation
velocity. To integrate the final form of discretized governing equations, a
three-stage hybrid time-stepping scheme is used and artificial dissipation
terms are added to stabilize the convergence path towards the final steady
solution. The results obtained with such a numerical procedure prove to be
in good agreement with those reported in the literature on the very same
flow geometry. Indeed, the flame structure as well as its propagation
velocity are accurately predicted thus confirming the validity of the
approach followed and demonstrating that such a numerical procedure will
be a valuable tool to deal with complex reactive flow geometries.