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Renormalization of the lattice Boltzmann hierarchy

Karlin, Iliya V. and Ansumali, Santosh (2007) Renormalization of the lattice Boltzmann hierarchy Physical Review E, 76, (2), 025701(R)-[4pp]. (doi:10.1103/PhysRevE.76.025701).

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Is it possible to solve Boltzmann-type kinetic equations using only a small number of particle velocities ? We introduce a technique of solving kinetic equations with a (arbitrarily) large number of particle velocities using only a lattice Boltzmann method on standard, low-symmetry lattices. The renormalized kinetic equation is validated with an exact solution of the planar Couette flow at moderate Knudsen numbers.

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Published date: August 2007
Keywords: couette flow, flow simulation, knudsen flow, lattice Boltzmann methods, renormalisation


Local EPrints ID: 49268
ISSN: 1539-3755
PURE UUID: bd28d984-afbe-4aeb-b226-93521042a51e

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Date deposited: 26 Oct 2007
Last modified: 17 Jul 2017 14:56

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Author: Iliya V. Karlin
Author: Santosh Ansumali

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