2-D Numerical Simulation Of Bend Flow And Research Of Hydrodynamic Method On Renovating Bank

Most of the human civilizations originate from the river basin, the river can benefit the human, on the other hand, the flood can destroy the world. Most of the rivers in the nature are channel bends, studying the movement rules of channel bends have a important influence on controlling flood, shipping, renovating the bank of watercourse, designing the bridge, planning and designing the hydraulic work . With the rapid development of the computer technology, the mathematical model is adopted more and more when it comes to the study in the river. The research and application of plane two-dimensional shallow water model have been a long history, and many research results about it have been applied to actual engineering, such as water conservancy, environment, port and channel and etc. In this paper, a plane 2-D water mathematical model for unsteady flow is established under the boundary-fitted coordinate system, a hydrodynamic method on renovating bank of curve watercourse is presented under the basis of the model. The research details of this paper are as follows:1. To overcome difficulties of numerical simulation resulting from winding and meandering bank line of watercourse, the boundary-fitted coordinate technology is used. Analyzing and comparing the quality of computational mesh among different governing functions, the best mesh generation model is chosen. A simple and good operation interpolation method, min distance and interpolation along gradient direction at cross-section which is used to calculate mesh terrain that is transformed, is presented.2. Deducing the basic water governing equation of plane 2-D under the boundary-fitted coordinate systematically. The governing equation have been split into two groups of equations by Yanenko method; and then each group of those have been solved by the alternating-direction-implicit technique, the process of that is so detailed. Then making the calculated program by using Fortran language to solving the water mathematical model.3. Establish the water mathematical model of Xi-liang-zi channel of Li river, the mathematical model is verified by the measured data .The hydraulic parameter calculated by model coincide well with measured data, which confirm the correctness, rationality and validity.4.On the basis of momentum equation of steady flow of 2-d, the author present a method to calculate the face of impact and shear force which is acted on the banks of channel bends by the water; which become the theoretical basis ,and then calculate the stress acted on the banks along the Xi-liang-zi channel of Li river; The velocity index, the stress index of stream bank stability and stability condition of curve watercourse are presented in the paper. A multiple objective criterion of the stream bank stability, collapsing coefficient, is presented and renovate the bank of Xi-liang-zi channel. There are 9 design scheme of groin in the paper, and we can select a best scheme by collapsing coefficient.