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Lattice Boltzmann Equation On a 2D Rectangular GridWe construct a multi-relaxation lattice Boltzmann model on a two-dimensional rectangular grid. The model is partly inspired by a previous work of Koelman to construct a lattice BGK model on a two-dimensional rectangular grid. The linearized dispersion equation is analyzed to obtain the constraints on the isotropy of the transport coefficients and Galilean invariance for various wave propagations in the model. The linear stability of the model is also studied. The model is numerically tested for three cases: (a) a vortex moving with a constant velocity on a mesh periodic boundary conditions; (b) Poiseuille flow with an arbitras~y inclined angle with respect to the lattice orientation: and (c) a cylinder &symmetrically placed in a channel. The numerical results of these tests are compared with either analytic solutions or the results obtained by other methods. Satisfactory results are obtained for the numerical simulations.
Document ID
20020063600
Acquisition Source
Langley Research Center
Document Type
Contractor Report (CR)
Authors
Bouzidi, MHamed
(Paris XI Univ. Orsay, France)
DHumieres, Dominique
(Paris XI Univ. Orsay, France)
Lallemand, Pierre
(Paris XI Univ. Orsay, France)
Luo, Li-Shi
(Institute for Computer Applications in Science and Engineering Hampton, VA United States)
Bushnell, Dennis M.
Date Acquired
September 7, 2013
Publication Date
June 1, 2002
Subject Category
Fluid Mechanics And Thermodynamics
Report/Patent Number
NASA/CR-2002-211658
ICASE-2002-18
NAS 1.26:211658
Report Number: NASA/CR-2002-211658
Report Number: ICASE-2002-18
Report Number: NAS 1.26:211658
Funding Number(s)
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NAS1-97046
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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