CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (S1): 663-665.

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AN IMPROVED LATTICE BOLTZMANN METHOD FOR THE SHALLOW WATER LONG WAVE EQUATION

Shi Weiping, Hu Shouxin, Yan Guangwu   

  1. Department of Mathematics Jilin University, Changchun 130023
  • Received:1997-03-03 Revised:1997-05-19 Online:1997-12-25 Published:1997-12-25

Abstract: Based on the equivalence between the aerdynamical Euler equation and the shallow water long wave equation, the equilibrum distribution function of the orginal LBM is improved, and hence the macrodynamical equation of shallow water long waves is derived. The resoults of one dimentional numerical test are compaired with those obtained by discrete velocity model.

Key words: lattice Boltzmann method, shallow water wave, Euler equatoin

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