Year: 2010
Author: Mohammed A. Boraey, Marcelo Epstein
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 4 : pp. 467–482
Abstract
A lattice Boltzmann method is developed for modeling viscous elementary flows. An adjustable source term is added to the lattice Boltzmann equation, which can be tuned to model different elementary flow features like a doublet or a point source of any strength, including a negative source (sink). The added source term is dimensionally consistent with the lattice Boltzmann equation. The proposed model has many practical applications, as it can be used in the framework of the potential flow theory of viscous and viscoelastic fluids. The model can be easily extended to the three dimensional case. The model is verified by comparing its results with the analytical solution for some benchmark problems. The results are in good agreement with the analytical solution of the potential flow theory.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1008
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 4 : pp. 467–482
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Author Details
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