Research On Numerical Simulation Of Plane 2-D Water & Sediment Mathematical Model And Its Dynamic Visualization Technology

With the rapid development of the computer technology, the mathematical model is adopted more and more when it comes to the sediment study in the river. The research domain now has expanded from one-dimension research to two-dimension, even three-dimension research. The water and sediment mathematical model has become an important method when studying the movement law of water & sediment and evolution process in the river due to its characteristics of convenience, high effectiveness and low cost. At the same time, with the development of national economy, waterpower resource has been exploited and utilized further. Higher demand has been claimed to the water and sediment mathematical model. And it is a good chance for the development of fundamental research of water and sediment in order to serve the production practice preferably. So improvements to the mathematical model and new expression manner to the computational process and results have been done in the thesis in the hope of benefit to engineering decision-making.This dissertation includes 6 chapters, and the details are as follows:In chapter 1, the research actuality, main numerical computational methods, the development trend and the major technique difficulty in the water & sediment mathematical model at home and abroad are generally introduced. The main job in the thesis is presented following above content.In chapter 2, aiming at the sinuous and irregular boundary in the natural river, the curvilinear grid in two dimension and three dimension is generated adopted the technique of orthogonal body-fitted coordinate transform to adapt the regular calculating region to the irregular physical region. By comparing the mesh quality among different governing functions and boundary-deal modes, the best mesh generation mode is chosen. And the mapped from initial terrain to the calculating terrain is attained by method of radial scanning and addressing.In chapter 3, a plane 2-D water & sediment mathematical model for unsteady flow is established under the body-fitted coordinate system. The stage equation in curvilinear coordinate system that can be solved with finite analysis method(FAM) based on co-located grid is deduced. Then the whole numerical governing equations solved under the same accuracy arithmetic withFAM are attained. At the same time, measures to some key difficulties during the numerical simulation are put forward.In chapter 4, the established mathematical model above is applied to the study on shoal improvement and flood control comprehensive treatment in the reach in Wuhan of Yangtze River. Based on the analysis alluvial process, the mathematical model is verified by the measured data. The optimized scheme is recommended through the model at last.In chapter 5, the visualization technology of mathematical model is discussed based on Microsoft Windows XP and VisualBasic6.0. The alluvial process and the flow movement can be seen vividly and intuitionisticly on the screen by Lagrange method.In chapter 6, the whole work in the thesis is summed up and further research work is prospected.I apologize for what I have done. I done don't know that is so serious...