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Xi H, Peng G, Chou SH. Finite-volume lattice Boltzmann schemes in two and three dimensions. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999;60(3):3380-8doi: 10.1103/physreve.60.3380.
Xi, H., Peng, G., & Chou, S. H. (1999). Finite-volume lattice Boltzmann schemes in two and three dimensions. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 60(3), 3380-8. https://doi.org/10.1103/physreve.60.3380
Xi, H, et al. "Finite-volume lattice Boltzmann schemes in two and three dimensions." Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics vol. 60,3 (1999): 3380-8. doi: https://doi.org/10.1103/physreve.60.3380
Xi H, Peng G, Chou SH. Finite-volume lattice Boltzmann schemes in two and three dimensions. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Sep;60(3):3380-8. doi: 10.1103/physreve.60.3380. PMID: 11970153.
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Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Sep;60(3):3380-8. doi: 10.1103/physreve.60.3380.

Finite-volume lattice Boltzmann schemes in two and three dimensions.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

H Xi, G Peng, S H Chou

Affiliations

  1. Department of Physics and Astronomy, Bowling Green State University, Bowling Green, Ohio 43403, USA.

PMID: 11970153 DOI: 10.1103/physreve.60.3380

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.

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