Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy

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Exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at non-vanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables to derive closed-form solutions for all higher-order moments. Convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.
12 pages, 4 figures, to appear in PRL. Published version is shortened to meet the page limit

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Statistical Mechanics, Computational Physics, Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/127492

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0703440
 http://arxiv.org/abs/cond-mat/0703440
 Phys. Rev. Lett. 98, 124502 (2007)
 doi:10.1103/PhysRevLett.98.124502

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arXiv