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

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dc.creatorAnsumali, S.
dc.creatorKarlin, I. V.
dc.creatorArcidiacono, S.
dc.creatorAbbas, A.
dc.creatorPrasianakis, N. I.
dc.date2007-03-16
dc.date.accessioned2026-07-07T07:56:55Z
dc.date.available2026-07-07T07:56:55Z
dc.descriptionExact 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.
dc.description12 pages, 4 figures, to appear in PRL. Published version is shortened to meet the page limit
dc.identifierhttps://arxiv.org/abs/cond-mat/0703440
dc.identifierhttp://arxiv.org/abs/cond-mat/0703440
dc.identifierPhys. Rev. Lett. 98, 124502 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.124502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127492
dc.subjectStatistical Mechanics
dc.subjectComputational Physics
dc.subjectFluid Dynamics
dc.titleHydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
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