Reis, T. ORCID: 0000-0003-2671-416X and Phillips, T. N. (2007) Modified lattice Boltzmann model for axisymmetric flows. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75 (5):056703. ISSN 1539-3755 (Print), 1550-2376 (Online) (doi:https://doi.org/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
Uncontrolled Keywords:	lattice Boltzmann, axisymmetric flow
Subjects:	Q Science > QA Mathematics
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) Faculty of Engineering & Science
Last Modified:	04 Mar 2022 13:08
URI:	http://gala.gre.ac.uk/id/eprint/23354

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