The University of Southampton
University of Southampton Institutional Repository

Lattices for the lattice Boltzmann method

Chikatamarla, S.S. and Karlin, I.V. (2009) Lattices for the lattice Boltzmann method Physical Review E, 79, (4), p. 46701. (doi:10.1103/PhysRevE.79.046701).

Record type: Article


A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys. Rev.
Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the construction of lattice Boltzmann
models as an approximation to the Boltzmann equation is presented. New lattices are found in all three
dimensions and are classified according to their accuracy (degree of approximation of the Boltzmann equation).
The numerical stability of these lattices is argued based on the entropy principle. The efficiency and accuracy
of many new lattices are demonstrated via simulations in all three dimensions.

Full text not available from this repository.

More information

Published date: 2009


Local EPrints ID: 155929
ISSN: 1539-3755
PURE UUID: e307c7ef-868a-4669-85ef-f32df5d9a731

Catalogue record

Date deposited: 01 Jun 2010 15:03
Last modified: 18 Jul 2017 12:43

Export record



Author: S.S. Chikatamarla
Author: I.V. Karlin

University divisions

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.