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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Description/Abstract

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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevE.76.025701
ISSNs: 1539-3755 (print)
Keywords: couette flow, flow simulation, knudsen flow, lattice Boltzmann methods, renormalisation
Subjects:
ePrint ID: 49268
Date :
Date Event
August 2007Published
Date Deposited: 26 Oct 2007
Last Modified: 16 Apr 2017 18:18
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/49268

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