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Modified lattice Boltzmann model for axisymmetric flows

Reis, Timothy and Phillips, Timothy Nigel 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: Mathematics
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Additional Information: 5 pages.
Publisher: American Physical Society
ISSN: 1539-3755
Last Modified: 04 Jun 2017 02:52
URI: http://orca.cf.ac.uk/id/eprint/13091

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