English

Flow in the Driven Cavity Calculated by the Lattice Boltzmann Method

comp-gas 2009-10-22 v1 Cellular Automata and Lattice Gases

Abstract

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=10Re=10 to Re=2000Re=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.

Keywords

Cite

@article{arxiv.comp-gas/9407001,
  title  = {Flow in the Driven Cavity Calculated by the Lattice Boltzmann Method},
  author = {W. Miller},
  journal= {arXiv preprint arXiv:comp-gas/9407001},
  year   = {2009}
}

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R2 v1 2026-07-22T09:59:05.368Z