A non-slip boundary condition for lattice Boltzmann simulations

Abstract

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.

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

References in corpus (2)

• Initial and Boundary Conditions for the Lattice Boltzmann Method
• A Lattice Boltzmann Model for Multi-phase Fluid Flows

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• Large-scale grid-enabled lattice-Boltzmann simulations of complex fluid flow in porous media and under shear
• Lattice Boltzmann simulations of segregating binary fluid mixtures in shear flow
• High-order lattice Boltzmann models for wall-bounded flows at finite Knudsen numbers
• Isotropy and spurious currents in pseudo-potential multiphase lattice Boltzmann models
• Derivation of lattice Boltzmann equation via analytical characteristic integral