Calculation Of Seepage Problem In Irregular Domains With 5-point Finite Analytic Schemes

With the rapid development of modern computer science, more and more people use numerical simulation to study the seepage problem. The 2-Dimension and 3-Dimension case are put forward instead of 1-Dimension case. Lots of articles have introduced the calculation method of earth dam seepage with pervious ground base or impervious ground base so far. Many practical problems are solved with these methods and there are also some disadvantages of these methods in solving the practical problem. In this paper, the Finite Analytical Method is used to simulate the 2-D seepage flow. The traditional 9-point Finite Analytic discretization is used only on the rectangular element. To solve the irregular domain problem, the triangular element which includes only five nodes is applied in this paper. The 5-point scheme of finite analytic method is established to simulate the unsteady seepage flow, which broadens the usage of the Finite Analytic Method.This paper can be divided into six chapters. Here is the brief presentation of each chapter:Chapter 1 is introduction. The up to now synthetically evaluation is given on the research ways and conclusions about main problem in seepage flow simulation. Considering the shortage of the previous research ways and techniques, the research way is draft out in this part. The main research content is introduced based on the practical request of the hydraulic engineering also.Chapter 2 is seepage numerical model and boundary condition. The basic motion equation and initial condition and boundary condition are given. For each seepage model, the boundary condition and initial condition are given also.Chapter 3 is numerical method description. Three numerical methods (FDM, FAM, FEM) are introduced. The detailed calculating scheme and application are given also.Chapter 4 is the 5-point Finite Analytic Schemes in irregular domains. The development of 5-point Finite Method for use on the triangular cells is devoted. The 5-point scheme for unsteady seepage flow is established.Chapter 5 is the project application. The 5-point scheme of Finite Analytic Method is used to simulate the Jinfeng Reservoir dam seepage. It shows good result by this method.Chapter 6 is the conclusion and prospect. It sums up the research ways and according results, points out the prospects study in the future.