Flow in the Driven Cavity Calculated by the Lattice Boltzmann Method

Details Flow in the Driven Cavity Calculated by the Lattice Boltzmann Method Flow in the Driven Cavity Calculated by the Lattice Boltzmann Method

1994-07-08

arxiv.org/abs/comp-gas/9407001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

post-script-file text without figures. figures can be asked from the Author

Scientific paper

10.1103/PhysRevE.51.3659

The lattice Boltzmann method with enhanced collisions and rest particles is used to calculate the flow in a two-dimensional lid-driven cavity. The abilitity 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 with a non-uniform top speed has been studied for various acpect ratios.

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