Radial Basis Function Collocation Method Solves The Plane Under-pressure、non-confined Groundwater

Using traditional methods (such as the finite element method) process in solvinggroundwater problems, need sto pre-defined numbers of grid nodes.and the process of gridgeneration gets more difficultt with the increase in the number of spatial dimensions,time-consuming,strain, and higher cost. in order to deal with the traditional method can notsolve the problem, Meshless method was raised by some experts and scholars.it ist hediscovery and study of new simulation method in the last number of years, The principle ofthis method is the application of a group does not constitute a grid in the domain and theboundary node discrete distribution to approximate the actual problem area and regionalboundaries, through these discrete distribution nodes to simulate an approximate function.More popular meshless method in the unit Galerkin method and the radial basis functioncollocation method. The radial basis function collocation method described is one of themessless method in this article.the radial basis function collocation method can get discreteequation algorithm simple, the premise of ensuring the accuracy and reduce the cost ofcomputing and computational, improve work efficiency.The article is divided into five parts. The first part is the introduction, the main ismeshless method and radial basis function background,trends and research status in recentyears. The second part of is the prior knowledge, we introduce the radial basisfunction(especially the Gaussian funtion), the basic theory of radial basis function collocationmethod.The third part is the application of this method, the border issue, wells, treatment ofthe problem of non-steady flow. The fourth part of the application example, the application ofthis method to the one-dimensional, two-dimensional pressure and non-pressure problem.Thefifth part is a summary and outlook,it is the summary of the application of the method, aswell as in the broader development of the practical problems in the future.