Recovery of the Solitons Using a Lattice Boltzmann Model

Chin. Phys. Lett.

1999, Vol. 16

Issue (2): 109-110 DOI:

Original Articles

Recovery of the Solitons Using a Lattice Boltzmann Model

YAN Guang-wu^1,2;SONG Min³

¹Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 ²Department of Mathematics, Jilin University, Changchun 130023 ³Division of Foundation, Jilin Province Architect College, Changchun 130053

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YAN Guang-wu, SONG Min 1999 Chin. Phys. Lett. 16 109-110

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Abstract We formulate a lattice Boltzmann model which simulates Korteweg-de Vries equation by using a method of higher moments of lattice Boltzmann equation. Using a series of lattice Boltzmann equations in different time scales and the conservation law in time scale t₀, we obtain equilibrium distribution function. The numerical examples show that the method can be used to simulate soliton.

Keywords: 47.10.+g

Published: 01 February 1999

PACS:

47.10.+g

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1999/V16/I2/0109

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