Analytical solutions of the lattice Boltzmann BGK model

(Center for Nonlinear Studies; Dept. of Math.; Dept. of Mechanical Engineering; Gary D. Doolen; Kansas State Univ.); Los Alamos Lab; Los Alamos Lab); Qisu Zou; Shuling Hou; T-division

arxiv: comp-gas/9501004 · v1 · submitted 1995-01-13 · comp-gas · nlin.CG

Analytical solutions of the lattice Boltzmann BGK model

Qisu Zou , (Center for Nonlinear Studies , T-division , Los Alamos Lab , Dept. of Math. , Kansas State Univ.) , Shuling Hou , Dept. of Mechanical Engineering

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Gary D. Doolen Los Alamos Lab)

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classification comp-gas nlin.CG

keywords solutionsanalyticalflowlatticeboltzmannplainanalyticapproximation

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Analytical solutions of the two dimensional triangular and square lattice Boltzmann BGK models have been obtained for the plain Poiseuille flow and the plain Couette flow. The analytical solutions are written in terms of the characteristic velocity of the flow, the single relaxation time $\tau $ and the lattice spacing. The analytic solutions are the exact representation of these two flows without any approximation.

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Analytical solutions of the lattice Boltzmann BGK model

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