A cell-centered finite volume method for chemically reacting flows on hybrid grids

Computation of chemically reacting flows using an unstructured hybrid grid method is presented in this paper. The spatial discretization is carried out using a cell-centered finite volume approximation. The spatially discretized governing equations are integrated in time using a linearized implicit scheme. A fast, matrix-free implicit method, LU-SGS, is then applied to solve the resultant system of linear equations. Thermophysical properties, turbulence source terms, and chemical kinetics source terms are evaluated by utilizing grid-independent routines within VULCAN. A least-squares method is proposed for the reconstruction of the gradients of the flow variables at the interface to establish a consistent and accurate discretization of the viscous diffusion fluxes.