Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (2): 17-22.DOI: 10.13438/j.cnki.jdzk.2022.02.004

• Mathematics • Previous Articles     Next Articles

Lattice Boltzmann Method for Spatial Fractional Convection Equations

WEI Xuedan,LI Mengjun,DAI Houping   

  1. (School of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2022-03-25 Published:2022-07-14

Abstract: Lattice Boltzmann model is established to numerically solve spatial fractional convection equations. Through integral mean value theorem and linear interpolation method,the fractional derivative was discretized,and the equilibrium distribution functions in each direction were derived by combining Taylor expansion and Chapman-Enskog multi-scale expansion.Numerical results verify the effectiveness of the constructed model via one-dimensional and two-dimensional problems.

Key words: fractional convection equations, Caputo fractional derivative, Chapman-Enskog expansion, lattice Boltzmann model

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