Analytical solutions of the lattice Boltzmann BGK model

Details Analytical solutions of the lattice Boltzmann BGK model Analytical solutions of the lattice Boltzmann BGK model

1995-01-13

arxiv.org/abs/comp-gas/9501004v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

10 pages, no postscript figure provided

Scientific paper

10.1007/BF02179981

Analytical solutions of the two dimensional triangular and square lattice Boltzmann BGK models have been obtained for the plain Poiseuille flow and the plain Couette flow. The analytical solutions are written in terms of the characteristic velocity of the flow, the single relaxation time $\tau $ and the lattice spacing. The analytic solutions are the exact representation of these two flows without any approximation.

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