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
025701(R)-[4pp]
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
August 2007
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), .
(doi:10.1103/PhysRevE.76.025701).
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.
This record has no associated files available for download.
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
Catalogue record
Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:54
Export record
Altmetrics
Contributors
Author:
Iliya V. Karlin
Author:
Santosh Ansumali
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics