摘要
在解决地下水溶质运移问题时有多种数值模拟方法,运用BGK逼近的Lattice Boltzmann模型,在结合纯弥散方程基础上推导出常速对流弥散方程(CDE)及数值解法,通过Matlab编程计算了一个用于模型检验的一维模型。计算结果显示,运用此方法得出的数值与解析值吻合良好,证明了该数学模型是正确的。
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.
出处
《水电能源科学》
2008年第1期78-80,103,共4页
Water Resources and Power
基金
国家自然科学基金资助项目(50579012)
