用径向基函数法计算不稳定渗流达西速度

Calculation of Darcy's Velocity of Unsteady Seepage by Radial Basis Functions

离散地下水不稳定渗流方程的时间变量t,得到半离散差分格式,再用径向基函数配点法得到全离散格式,由此提出了达西速度的径向基函数计算方法,该方法较有限元法简单,节点配置较有限元和有限差分等方法灵活,在高维空间中比传统方法更具优势.模型试算表明,其相对误差到10-5,比目前精度较高的混合有限元法缩小103倍.

In this paper, radial basis functions are used to discretize the equation describing unsteady flow of groundwater. By the discretized formats, specific formulas are gotten to calculate Darcy＇s velocity. It is simpler and more flexible than the methods based on finite element or finite difference methods. The calculation of an example shows that its relative errors are 10^-3 that is about 10^-3 time of mixed finite element method.