坡面流的Lattice Boltzmann方法数值模拟

Numerical Simulation of Overland Flow by Lattice Boltzmann Method

以一维运动波方程为研究对象,给出Lattice Boltzmann方法的D1Q5速度模型在一维坡面流的数值模拟中的具体步骤,并将其计算结果与解析解进行比较,同时分析了步长和弛豫时间的选取对计算精度的影响。结果表明:Lattice Boltzmann方法可以较好地应用于坡面流数值模拟中,空间步长的选取对计算精度的影响较大,弛豫时间的取值应在[1.0,1.2]范围内为宜。

Taking one-dimensional kinematic wave equation as research object,this paper showed the detailed steps applying D1Q5 model on the numerical simulation of one-dimensional overland flow by Lattice Boltzmann,compared calculation results with analytical solutions,and analyzed the influence of intervals and relaxation time on calculation accuracy.The results indicate that the Lattice Boltzmann method could be well applied to the numerical simulation of overland flow.The selection of space interval has a great influence on calculation accuracy.The range of relaxation time should be within[1.0,1.2].