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Local second-order boundary methods for lattice Boltzmann models

Journal Article · · Journal of Statistical Physics
DOI:https://doi.org/10.1007/BF02174124· OSTI ID:466701
 [1];  [2]
  1. Universite Paris Sud, Orsay (France)
  2. Universite Pierre et Marie Curie, Paris (France)

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.

Sponsoring Organization:
USDOE
OSTI ID:
466701
Journal Information:
Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 5-6 Vol. 84; ISSN JSTPBS; ISSN 0022-4715
Country of Publication:
United States
Language:
English

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