RESEARCH AND IMPLEMENT OF A 2-D UNSTEADY VISUAL MATHEMATICAL MODEL OF TIDAL ESTUARY

摘要

Based on triangle grids, a planar 2-D unsteady mathematical model of tidal flow is established by the finite element method in this article. Based on the model, a visual software is developed to process the data before and after model calculation. Then the visual mathematical model is made up from the two parts above. Since the methods for lumping mass and compressing memory and predictor-corrector are used to solve the equations, the questions of memory units and calculation speed are settled quite well. Simulation calculation is carried out on the south and north branches of the Yangtze River Estuary. Result shows that the model can simulate the tidal flow correctly after the model verification between calculated results and field data. From the practice implement, it shows that the visual model can not only make the calculation visual and overcome the disadvantage of traditional models, but also save much time of model debugging, and improve the efficiency of solving practical problems with mathematical model. The model is very efficient and useful, so it is worthy of being carried out in the simulation calculation of tidal flow and sedimentation transportation at estuary and seashore.