Implementation of on-site velocity boundary conditions for D3Q19 lattice Boltzmann

Abstract

On-site boundary conditions are often desired for lattice Boltzmann simulations of fluid flow in complex geometries such as porous media or microfluidic devices. The possibility to specify the exact position of the boundary, independent of other simulation parameters, simplifies the analysis of the system. For practical applications it should allow to freely specify the direction of the flux, and it should be straight forward to implement in three dimensions. Furthermore, especially for parallelized solvers it is of great advantage if the boundary condition can be applied locally, involving only information available on the current lattice site. We meet this need by describing in detail how to transfer the approach suggested by Zou and He to a D3Q19 lattice. The boundary condition acts locally, is independent of the details of the relaxation process during collision and contains no artificial slip. In particular, the case of an on-site no-slip boundary condition is naturally included. We test the boundary condition in several setups and confirm that it is capable to accurately model the velocity field up to second order and does not contain any numerical slip.

13 pages, 4 figures, revised version

References in corpus (6)

• Kinetic boundary conditions in the lattice Boltzmann method
• Continuum-particle hybrid coupling for mass, momentum and energy transfers in unsteady fluid flow
• Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
• Large-scale lattice Boltzmann simulations of complex fluids: advances through the advent of computational grids
• Coupling Lattice Boltzmann and Molecular Dynamics models for dense fluids
• Anomalous distribution functions in sheared suspensions

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