Abstract
A new way to implement solid obstacles in lattice Boltzmann models is presented. The unknown populations at the boundary nodes are derived from the locally known populations with the help of a second-order Chapman-Enskog expansion and Dirichlet boundary conditions with a given momentum. Steady flows near a flat wall, arbitrarily inclined with respect to the lattice links, are then obtained with a third-order error. In particular, Couette and Poiseuille flows are exactly recovered without the Knudsen layers produced for inclined walls by the bounce back condition.
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Ginzbourg, I., d'Humières, D. Local second-order boundary methods for lattice Boltzmann models. J Stat Phys 84, 927–971 (1996). https://doi.org/10.1007/BF02174124
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DOI: https://doi.org/10.1007/BF02174124