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Renormalization of the lattice Boltzmann hierarchy

Renormalization of the lattice Boltzmann hierarchy
Renormalization of the lattice Boltzmann hierarchy
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.
couette flow, flow simulation, knudsen flow, lattice Boltzmann methods, renormalisation
1539-3755
025701(R)-[4pp]
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363

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).

Record type: Article

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.

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More information

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

Identifiers

Local EPrints ID: 49268
URI: http://eprints.soton.ac.uk/id/eprint/49268
ISSN: 1539-3755
PURE UUID: bd28d984-afbe-4aeb-b226-93521042a51e

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Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:54

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Contributors

Author: Iliya V. Karlin
Author: Santosh Ansumali

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