Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
The exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at nonvanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.
124502
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Arcidiacono, S.
a3cfb569-d701-41b8-9e8f-10efba4d8579
Abbas, A.
465fff33-5fd0-47ab-9761-b0dab99661d5
Prasianakis, N.I.
99e1de6c-07c1-46c2-9a0c-88d5cd840572
23 March 2007
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Arcidiacono, S.
a3cfb569-d701-41b8-9e8f-10efba4d8579
Abbas, A.
465fff33-5fd0-47ab-9761-b0dab99661d5
Prasianakis, N.I.
99e1de6c-07c1-46c2-9a0c-88d5cd840572
Ansumali, S., Karlin, I.V., Arcidiacono, S., Abbas, A. and Prasianakis, N.I.
(2007)
Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy.
Physical Review Letters, 98 (12), .
(doi:10.1103/PhysRevLett.98.124502).
Abstract
The exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at nonvanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.
This record has no associated files available for download.
More information
Published date: 23 March 2007
Identifiers
Local EPrints ID: 49271
URI: http://eprints.soton.ac.uk/id/eprint/49271
ISSN: 0031-9007
PURE UUID: cb5409e3-608d-4c49-8612-1131635ccd64
Catalogue record
Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:54
Export record
Altmetrics
Contributors
Author:
S. Ansumali
Author:
I.V. Karlin
Author:
S. Arcidiacono
Author:
A. Abbas
Author:
N.I. Prasianakis
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