Lattice Boltzmann model based on one-dimensional seepage equation
A D1Q3 model based on the lattice Boltzmann method(LBM)is proposed for the numerical solution of fractional order seepage equations.Firstly,the fractional calculus operators are processed to facilitate the construction of lattice Boltzmann models;Then,the macroscopic equations were restored using Taylor expansion and Chapman-Enskog multi-scale expansion techniques;Finally,the expression of the equilibrium distribution function in each direction is derived.The effectiveness of the theoretical analysis was verified based on the calculation results of two numerical examples and error analysis.
fractional percolation equationslattice Boltzmann methodRiemann-Liouville type derivativenumerical simulation
NETL
NSTL
万方数据
维普
