Finite-volume lattice Boltzmann schemes in two and three dimensions

Haowen Xi; Gongwen Peng; So-Hsiang Chou

doi:10.1103/PhysRevE.60.3380

Finite-volume lattice Boltzmann schemes in two and three dimensions

Haowen Xi, Gongwen Peng, and So-Hsiang Chou

Phys. Rev. E 60, 3380 – Published 1 September 1999

Abstract

Simple and practical finite-volume schemes for the lattice Boltzmann equation are derived in two and three dimensions through the application of modern finite-volume methods. The schemes use a finite-volume vortex-type formulation based on quadrilateral elements in two dimensions and trilinear hexahedral elements in three dimensions. It is shown that the schemes are applicable to domains with irregular boundaries of arbitrary shape in two and three dimensions.

Received 3 March 1999

DOI:https://doi.org/10.1103/PhysRevE.60.3380

Authors & Affiliations

Haowen Xi¹, Gongwen Peng², and So-Hsiang Chou³

¹Department of Physics and Astronomy, Bowling Green State University, Bowling Green, Ohio 43403
²Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261
³Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403

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Vol. 60, Iss. 3 — September 1999

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics