Modified lattice Boltzmann model for axisymmetric flows
Reis, T. ORCID: https://orcid.org/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:10.1103/PhysRevE.75.056703)
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 |
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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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