一维地下水非稳定流计算的配点法

传统的地下水数值计算方法(如有限元法和有限差分法)都需要网格或单元,网格生成需要占用大量的计算时间,求解所需数据量也较大。配点型无网格法摆脱了网格和单元的限制,只需节点信息,且节点布置灵活,易于实施。本文将配点型无网格法应用于解决一维地下水非稳定流计算问题,用MATLAB编制相应的程序,将结果与解析解和传统方法的计算结果相比较,计算得到的结果与解析解吻合很好,精度较高,计算过程简单,稳定性好。

The Collocation Meshless Method in Simulation of One-Dinensional Non-steady Flow

Traditional groundwater numerical methods(such as finite element and finite difference method) require grid or unit,mesh generation would take a lot of calculation time,a large amount of data needed to solve.The collocation meshless method get rid of the grid and unit limitation and only need node information and node layout flexible and easy to implement.In the paper,with collocation meshless method will be applied to solve the one-dimensional non-steady groundwater flow calculation problem,the preparation of the corresponding program,the results with analytical solutions and traditional methods of calculation compared to the calculated results in good agreement with the analytical solution,more accurate than high,the calculation process is simple,good stability.