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A lattice Boltzmann method for KDV equation

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Abstract

We prepose a 5-bit lattice Boltzmann model for KdV equation. Using Chapman-Enskog expansion and multiscale technique, we obtained high order moments of equilibrium distribution function, and the 3rd dispersion coefficient and 4th order viscosity. The parameters of this scheme can be determined by analysing the energy dissipation.

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Authors and Affiliations

  1. Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, China

    Yan Guangwu

  2. Department of Mechanics, Peking University, 100871, Beijing, China

    Yan Guangwu & Chen Yaosong

  3. Department of Mathematics, Jilin University, 130023, Changchun, China

    Hu Shouxin

Authors
  1. Yan Guangwu
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  2. Chen Yaosong
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  3. Hu Shouxin
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Additional information

The project supported by the Foundation of the Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences

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Guangwu, Y., Yaosong, C. & Shouxin, H. A lattice Boltzmann method for KDV equation. Acta Mech Sinica 14, 18–26 (1998). https://doi.org/10.1007/BF02486827

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  • DOI: https://doi.org/10.1007/BF02486827

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