A non-slip boundary condition for lattice Boltzmann simulations

Nonlinear Sciences – Cellular Automata and Lattice Gases

Scientific paper

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8 pages, Latex, 7 Postscript figures, uuencoded, accepted for publication in the Physics of Fluids on 2 August, 1995

Scientific paper

10.1063/1.868766

A non-slip boundary condition at a wall for the lattice Boltzmann method is presented. In the present method unknown distribution functions at the wall are assumed to be an equilibrium distribution function with a counter slip velocity which is determined so that fluid velocity at the wall is equal to the wall velocity. Poiseuille flow and Couette flow are calculated with the nine-velocity model to demonstrate the accuracy of the present boundary condition.

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