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Calculation of Seepage Problem in Irregular Domains with 5-point Finite Analytic Schemes

Author: XiangBo
Tutor: HuaiWenXin
School: Wuhan University
Course: Hydraulics and River Dynamics
Keywords: Limited analysis of the five-point format Laplace equation Unsteady seepage Irregular area
CLC: TV223.6
Type: Master's thesis
Year: 2004
Downloads: 53
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Abstract


With the rapid development of computer technology , the people in the study of seepage problems , more and more use of mathematical simulation study also gradually developed by the one-dimensional to two - dimensional and three-dimensional problems . So far , there are a lot of literature describes permeable or impermeable foundation Seepage calculation method . These methods to solve a lot of practical problems , but also flawed to varying degrees . In this paper, using the finite analysis methods , numerical simulation of two-dimensional percolation model ; limited analysis to solve the drawbacks of limited analytical methods in dealing with the border issue , the five-point format , and deduced limited suitable for non - stable homogeneous seepage analysis of the five-point format , limited analysis of the applicability of the method . This paper is divided into six chapters, each chapter following major elements : the first chapter is the introduction . Seepage calculation and the main numerical methods Research first proposed , the numerical simulation of the development direction of the seepage problem , made ??a systematic exposition of the present major technical difficulties , combined on the basis of the actual need of the water conservancy project the main tasks of this article . Chapter II flow mathematical model and boundary conditions . Given the initial and boundary conditions of the basic equations and basic equations describe the movement of the seepage , and given the initial and boundary conditions for each specific percolation model . The third chapter is a description of the numerical methods . Basic description of the three mathematical methods , finite difference method , finite analysis method , finite element method , and given the specific application of several specific format and the format of the seepage calculation . Limited analysis in Chapter IV non- rule area five-point format . Introduced a limited analysis of the five-point format , and apply to the analysis of non- stable homogeneous flow problem limited five-point format derived by mathematical deformation . Chapter engineering applications . Limited analysis of the five-point format , Jinfeng Reservoir seepage near Yueyang City , Hunan Province , numerical simulation , and achieved good results . Chapter Conclusion and Outlook . This work summarizes and future job prospects.

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CLC: > Industrial Technology > Hydraulic Engineering > Hydraulic investigation of hydraulic design > Foundation and its reinforcement > Foundation penetration calculation and test
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