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Numerical validation of a consistent axisymmetric lattice Boltzmann model

Reis, Timothy and Phillips, Timothy Nigel 2008. Numerical validation of a consistent axisymmetric lattice Boltzmann model. Physical Review E 77 (2) , 026703. 10.1103/PhysRevE.77.026703

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Abstract

A recently derived axisymmetric lattice Boltzmann model is evaluated numerically. The model incorporates a spatially and temporally varying source term 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. The validity of the model is confirmed by simulating Hagen-Poiseuille flow. Numerical predictions for the drag coefficient in Stokes’ flow over a sphere are presented and shown to be in excellent agreement with analytical results. At larger Reynolds numbers the numerical predictions are shown to approach an empirically derived formula for the drag coefficient.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Advanced Research Computing @ Cardiff (ARCCA)
Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: 6 pages.
Publisher: American Physical Society
ISSN: 1539-3755
Last Modified: 04 Jun 2017 02:52
URI: http://orca.cf.ac.uk/id/eprint/13094

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