Numerical Modelling of Constant Velocity CDE (Convective-Diffusion Equation) with Lattice Boltzmann Method

There are several numerical modelling methods for transportations of ground water solute.This paper presents a Lattice Boltzmann Model(LBM) with Bhatnagar,Gross and Krook(BGK) approach to gain the constant velocity convective-diffusion equation(CDE) based on the diffusion equation derived by former researchers,and the numerical solution has also been given.An one-demensional CDE with a constant velocity was simulated with this method by using Matlab code,and the numerical results perfectly fit the analytical results,which can prove the correctness of this model.