Analysis and boundary condition of the lattice Boltzmann BGK model with two velocity components

Details Analysis and boundary condition of the lattice Boltzmann BGK model with two velocity components Analysis and boundary condition of the lattice Boltzmann BGK model with two velocity components

1995-07-22

arxiv.org/abs/comp-gas/9507002v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

12 pages, with one figure as boufig.uu following the paper

Scientific paper

In this paper, we study the two dimensional lattice Boltzmann BGK model (LBGK) by analytically solving a simple flow in a 2~-D channel. The flow is driven by the movement of upper boundary with vertical injection fluid at the porous boundaries. The velocity profile is shown to satisfy a second-order finite-difference form of the simplified incompressible Navier-Stokes equation. With the analysis, different boundary conditions can be studied theoretically. A momentum exchange principle is also revealed at the boundaries. A general boundary condition for any given velocity boundary is proposed based on the analysis.

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