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Kinetic boundary conditions in the lattice Boltzmann method

Kinetic boundary conditions in the lattice Boltzmann method
Kinetic boundary conditions in the lattice Boltzmann method
Derivation of the lattice Boltzmann method from the continuous kinetic theory [X. He and L. S. Luo, Phys. Rev. E 55, R6333 (1997); X. Shan and X. He, Phys. Rev. Lett. 80, 65 (1998)] is extended in order to obtain boundary conditions for the method. For the model of a diffusively reflecting moving solid wall, the boundary condition for the discrete set of velocities is derived, and the error of the discretization is estimated. Numerical results are presented which demonstrate convergence to the hydrodynamic limit. In particular, the Knudsen layer in the Kramers' problem is reproduced correctly for small Knudsen numbers.
1063-651X
026311-[6pp]
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d

Ansumali, Santosh and Karlin, Iliya V. (2002) Kinetic boundary conditions in the lattice Boltzmann method. Physical Review E, 66 (2), 026311-[6pp]. (doi:10.1103/PhysRevE.66.026311).

Record type: Article

Abstract

Derivation of the lattice Boltzmann method from the continuous kinetic theory [X. He and L. S. Luo, Phys. Rev. E 55, R6333 (1997); X. Shan and X. He, Phys. Rev. Lett. 80, 65 (1998)] is extended in order to obtain boundary conditions for the method. For the model of a diffusively reflecting moving solid wall, the boundary condition for the discrete set of velocities is derived, and the error of the discretization is estimated. Numerical results are presented which demonstrate convergence to the hydrodynamic limit. In particular, the Knudsen layer in the Kramers' problem is reproduced correctly for small Knudsen numbers.

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Published date: August 2002

Identifiers

Local EPrints ID: 49175
URI: http://eprints.soton.ac.uk/id/eprint/49175
ISSN: 1063-651X
PURE UUID: 0c8505b7-270e-42ee-a266-a8eb657f5c87

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Date deposited: 24 Oct 2007
Last modified: 13 Mar 2019 20:54

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