Based On The Radial Basis Function Collocation Method Of Numerical Simulation And Application For Three-dimensional Groundwater

Meshless method is a numerical method for solving partial differential equations.It doesn't have to rely on the grid structure,and can easily change the domain nodes.It also reduces the difficulty of solving the problem and improves the efficiency and accuracy of the solution.Radial basis function collocation method has such advantages as simple implementation,low cost,independent of space dimension and so on.It is a real meshless method.In the paper,the radial basis function collocation method is applied to solve the three-dimensional groundwater flow problems,established a numerical simulation model of groundwater system in Harbin.Using MATLAB software to program for numerical simulation of the groundwater in the study area,and the effect is better.It shows that the radial basis function collocation method is applicable to the numerical simulation of three-dimensional groundwater.This article is divided into six parts.The first part is the introduction,which mainly introduces the research significance of the topic,the emergence and development of the radial basis function collocation method.The second part is the basic principle of meshless radial basis function collocation method.The third part is the application of this method,including the design of the specific solution process,the determination of boundary conditions and initial conditions,and the dispose of well point and source sink term.The fourth part summarizes the background information of the selected research area,including the geographical location,topography and geomorphology,precipitation and climate conditions.In the fifth part,the radial basis function collocation method is applied to the numerical simulation of the study area.From the simulation results,the established numerical simulation model conforms to the actual situation of the study area.It can meet the needs of practical work,and the effect is satisfactory.Finally,the article makes a summary and outlook.