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Based On The Radial Basis Function Collocation Merhod Of Numerical Simulation For Groundwater In Beijing Plain

Posted on:2015-07-06Degree:MasterType:Thesis
Country:ChinaCandidate:H X LiFull Text:PDF
GTID:2180330431990142Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Beijing as the capital of China, most of the water comes from groundwater, it is apparentgroundwater resources is very important to the area, Numerical simulation of groundwaterresources is also remarkable is particularly important.This paper collection of terrain features on the Beijing plain area in2000, thehydro-geological conditions and climate precipitation data, and these data were finishing. Inthis paper, the radial basis function collocation method of meshless based on mathematicalsoftware MATLAB to simulate the groundwater. From the simulation results, the simulationeffect is better. The radial basis function collocation method of meshless is a methoddeveloped in recent years for solving partial differential equations, the method compared toother methods in terms of groundwater modeling without relying on any grid, simpleoperation, regardless of the space dimension. The innovation of this paper is to establish anumerical simulation model of Beijing plain area using meshless radial basis functioncollocation method, and the numerical simulation of groundwater in the area. From theperspective of the result of simulation, compared to other simulation method the error is verysmall, thus the radial basis function collocation method for three dimensional numericalsimulation of groundwater.The main work of this paper: the full text is divided into five chapters, the first chapterintroduces the significance of the topic, as well as the characteristics of groundwater resources,Beijing plain groundwater numerical simulation research route and numerical simulationsoftware-MATLAB Mathematical Software of groundwater. The second chapter describesthe method used in the evaluation of groundwater numerical simulation in this article formeshless radial basis function method, the meshless radial basis function collocation methodof fundamental principles. The third chapter introduces the background information in theBeijing Plain area here, including topography features, climatic conditions, rainfall, as well ashydro-geological conditions. Chapter IV numerical simulation of groundwater in plain area ofBeijing, using the MATLAB mathematical software is programmed using radial basisfunction collocation method for the numerical simulation of groundwater plain better.
Keywords/Search Tags:Groundwater, Meshless Method, Radial Basis Function Collocation Method, Numerical Simulation
PDF Full Text Request
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