Finite Volume - Lattice Boltzmann Modeling of Time Dependent Flows

In this paper, a stable finite volume formulation of lattice Boltzmann method is used to study time dependent flows. For simulation purpose, a cell-centered scheme is implemented to discretize the convection operator and weighting factors are used as flux correctors to enhance the stability. Also, additional lattices at the edge of each boundary cell are used, which allow a much better description of the actual geometrical shape. Compared with previous finite volume formulations, the proposed approach resulted in a wider domain of stability and faster convergence. The scheme is validated through simulations on flow over circular cylinder and mixing layer flow. The results show that the method is a promising scheme in simulating time dependent flows.