Numerical Simulation of Lid-Driven Cavity Flow by the Lattice Kinetic Scheme

A new numerical method for incompressible Newtonian fluid flows based on the lattice Boltzmann method (LBM) is proposed. In this method, the relaxation time in the BGK collision term is kept at unity taking account of numerical stability. Compared with the lattice Boltzmann method, the lattice kinetic scheme (LKS) can save the computer memory since there is no need to store the density distributions. The implementation of the boundary condition is direct and just the same as the convectional Navier-Stokes solvers. In this study, the lattice kinetic scheme is applied to two dimensional liddriven cavity flow as a benchmark problem in fluid dynamics. Obtained results have been compared very well with single relaxation time (SRT) results and also available data in the literature. The simulations indicate that the method can be used for different practical fluid flows very well.

Keywords:

lattice kinetic , lattice Boltzmann method , lid-driven cavity , single relaxation time