Volume 11, Issue 5
Lattice BGK Model for Incompressible Axisymmetric Flows

Ting Zhang, Baochang Shi, Zhenhua Chai & Fumei Rong

Commun. Comput. Phys., 11 (2012), pp. 1569-1590.

Published online: 2012-11

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  • Abstract

In this paper, a lattice Boltzmann BGK (LBGK) model is proposed for simulating incompressible axisymmetric flows. Unlike other existing axisymmetric lattice Boltzmann models, the present LBGK model can eliminate the compressible effects only withthe small Machnumber limit. Furthermore the source terms of the model are simple and contain no velocity gradients. Through the Chapman-Enskog expansion, the macroscopic equations for incompressible axisymmetric flows can be exactly recoveredfromthe presentLBGKmodel. Numerical simulations ofthe Hagen-Poiseuille flow, the pulsatile Womersley flow, the flow over a sphere, and the swirling flow in a closed cylindrical cavity are performed. The results agree well with the analytic solutions and the existing numerical or experimental data reported in some previous studies. 

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@Article{CiCP-11-1569, author = {Ting Zhang, Baochang Shi, Zhenhua Chai and Fumei Rong}, title = {Lattice BGK Model for Incompressible Axisymmetric Flows}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {5}, pages = {1569--1590}, abstract = {

In this paper, a lattice Boltzmann BGK (LBGK) model is proposed for simulating incompressible axisymmetric flows. Unlike other existing axisymmetric lattice Boltzmann models, the present LBGK model can eliminate the compressible effects only withthe small Machnumber limit. Furthermore the source terms of the model are simple and contain no velocity gradients. Through the Chapman-Enskog expansion, the macroscopic equations for incompressible axisymmetric flows can be exactly recoveredfromthe presentLBGKmodel. Numerical simulations ofthe Hagen-Poiseuille flow, the pulsatile Womersley flow, the flow over a sphere, and the swirling flow in a closed cylindrical cavity are performed. The results agree well with the analytic solutions and the existing numerical or experimental data reported in some previous studies. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.290810.050811a}, url = {http://global-sci.org/intro/article_detail/cicp/7425.html} }
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