Flow in the driven cavity calculated by the lattice Boltzmann method

The lattice Boltzmann method with enhanced collisions and rest particles is used to calculate the flow in a two-dimensional lid-driven cavity. The ability of this method to compute the velocity and the pressure of an incompressible fluid in a geometry with Dirichlet and Neumann boundary conditions is verified by calculating a test problem where the analytical solution is known. Different parameter configurations have been tested for Reynolds numbers from Re=10 to Re=2000. The vortex structure for a more generalized lid-driven cavity problem for different types of boundary conditions has been studied for three different aspect ratios.