Local second-order boundary methods for lattice Boltzmann models |
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Authors: | I Ginzbourg D d'Humières |
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Institution: | (1) CNRS, Applications Scientifiques du Calcul Intensif, Université Paris Sud, 91405 Orsay Cedex, France;(2) Laboratoire de Physique Statistique de l'ENS, CNRS and Université Pierre et Marie Curie, 75231 Paris Cedex 05, France |
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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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Keywords: | Lattice Boltzmann equation boundary conditions Chapman-Enskog expansion Knudsen layer |
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