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Connection Between Lattice-Boltzmann Equation and Beam Scheme

Author

Listed:
  • Kun Xu

    (Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, P.R. China)

  • Li-Shi Luo

    (ICASE, Mail Stop 403, NASA Langley Research Center, 6 North Dryden Street, Bldg 1298 Hampton, Virginia 23681-0001, USA)

Abstract

In this paper we analyze and compare the lattice-Boltzmann equation with the beam scheme in detail. We notice the similarity and differences between the lattice Boltzmann equation and the beam scheme. We show that the accuracy of the lattice-Boltzmann equation is indeed second order in space. We discuss the advantages and limitations of the lattice-Boltzmann equation and the beam scheme. Based on our analysis, we propose an improved multi-dimensional beam scheme.

Suggested Citation

  • Kun Xu & Li-Shi Luo, 1998. "Connection Between Lattice-Boltzmann Equation and Beam Scheme," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1177-1187.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s0129183198001072
    DOI: 10.1142/S0129183198001072
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