曲线拟合坐标技术在复杂边界有压渗流数值计算中的应用

Application of Technique of Curvilinear Boundary-Fitted Coordinate to Numerical Calculation of Pressure Underground Seepage Flow

建立了曲线拟合坐标系下的坝下复杂边界渗流的数值计算模型,给出了边界条件和求解方法。计算结果表明,用该方法求得的各种物理量分布符合物理规律;与有限元法相比,该方法无需解大型方程组,节省计算内存和时间,是一种计算复杂边界渗流的有效方法。

The technique of curvilinear boundaryfitted coordinate system is used for the establishment of mathematical model of pressure underground seepage flow,and the boundary conditions and the method of solving the transformed equations are presented in this paper. The calculation results show that the computed hydraulic parameters conform to the physical laws. Compared with the finite element method, the presented method need not solve the large matrix equations, and the computer memories and the time for computing are less. The mathematical model is effective for numerical solution to pressure underground seepage flows with complicated boundaries,and can be used in practice hydraulic engineering.