Modified lattice Boltzmann model for axisymmetric flows

Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2007. Modified lattice Boltzmann model for axisymmetric flows. Physical Review E 75 (5) , 056703. 10.1103/PhysRevE.75.056703

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Abstract

A modified lattice Boltzmann model based on the two-dimensional, nine-velocity lattice-Bhatnagar-Gross-Krook fluid is presented for axisymmetric flows. A spatially and temporally varying source term is incorporated into the evolution equation for the momentum distribution function on a two-dimensional Cartesian lattice. The precise form of the source term is derived through a Chapman-Enskog analysis, so that the additional axisymmetric contributions in the Navier-Stokes equations are furnished when written in the cylindrical polar coordinate system.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Additional Information:	5 pages.
Publisher:	American Physical Society
ISSN:	1539-3755
Last Modified:	14 May 2023 10:09
URI:	https://orca.cardiff.ac.uk/id/eprint/13091

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