On implementation of boundary conditions in the application of finite volume lattice Boltzmann method

A new implementation of boundary condition based on the half-covolume and bounce-back rule for the non-equilibrium distribution function for the finite volume LBM is proposed here. The numerical simulation results for the expansion channel flow and driven cavity problem indicate that this method is workable for arbitrary meshes. In addition, the fourth order Runge-Kutta scheme is found to be a practical way in the LBM to accelerate the calculation speed.