Abstract

A lattice Boltzmann boundary condition for simulation of fluid flow using simple extrapolation is proposed. Numerical simulations, including two-dimensional Poiseuille flow, unsteady Couette flow, lid-driven square cavity flow, and flow over a column of cylinders for a range of Reynolds numbers, are carried out, showing that this scheme is of second order accuracy in space discretization. Applications of the method to other boundary conditions, including pressure condition and flux condition are discussed.

Keywords

PhysicsLattice Boltzmann methodsHagen–Poiseuille equationCouette flowMechanicsReynolds numberExtrapolationDiscretizationBoundary value problemFlow (mathematics)Hele-Shaw flowOpen-channel flowStatistical physicsClassical mechanicsMathematical analysisMathematics

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Publication Info

Year
1996
Type
article
Volume
8
Issue
9
Pages
2527-2536
Citations
486
Access
Closed

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Shiyi Chen, Daniel Martínez, Renwei Mei (1996). On boundary conditions in lattice Boltzmann methods. Physics of Fluids , 8 (9) , 2527-2536. https://doi.org/10.1063/1.869035

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DOI
10.1063/1.869035