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Pressure (density) and velocity boundary conditions inside a flow domain arestudied for 2-D and 3-D lattice Boltzmann BGK models (LBGK) and a new method tospecify these conditions are proposed. These conditions are constructed inconsistency of the wall boundary condition based on an idea of bounceback ofnon-equilibrium distribution. When these conditions are used together with theimproved incompressible LBGK model by Zou et al., the simulation resultsrecover the analytical solution of the plane Poiseuille flow driven by pressure(density) difference with machine accuracy. Since the half-way wall bouncebackboundary condition is very easy to implement and was shown theoretically togive second-order accuracy for the 2-D Poiseuille flow with forcing, it is usedwith pressure (density) inlet/outlet conditions proposed in this paper and inChen et al. to study the 2-D Poiseuille flow and the 3-D square duct flow. Thenumerical results are approximately second-order accurate. The magnitude of theerror of the half-way wall bounceback is comparable with that using some otherpublished boundary conditions. Besides, the bounceback condition has a muchbetter stability behavior than that of other boundary conditions.Comment: 18 pages, one figur

On pressure and velocity boundary conditions for the lattice Boltzmann BGK model