An extrapolation method for boundary conditions in lattice Boltzmann method
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- 1 June 2002
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 14 (6), 2007-2010
- https://doi.org/10.1063/1.1471914
Abstract
A boundary treatment for curved walls in lattice Boltzmann method is proposed. The distribution function at a wall node who has a link across the physical boundary is decomposed into its equilibrium and nonequilibrium parts. The equilibrium part is then approximated with a fictitious one where the boundary condition is enforced, and the nonequilibrium part is approximated using a first-order extrapolation based on the nonequilibrium part of the distribution on the neighboring fluid node. Numerical results show that the present treatment is of second-order accuracy, and has well-behaved stability characteristics.Keywords
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