The Research On High-accuracy Algorithms Of Two-dimension Water Flow Simulation In The River

With the rapid development of software and hardware technology in computer, people raise a new need in breadth and depth for numerical simulation of water flow. Based on the results of previous studies, this paper satisfies the actual application need for the 2D water flow numerical simulation in channel and does the further study for that in the orthogonal curvilinear coordinates. This paper does some exploring at the aspect of improving performance and accuracy of numerical simulation on the basis of traditional finite difference method. It has 3 parts: time item extrapolation method, arithmetic operator iterative method and parallel computing.The time item extrapolation method is to recalculates the result of linear combination for double and one time pace value at the same time. The combination result has eliminated the error of low rand time item and has more accurate value.The arithmetic operator iterative method solves the disperse equation by iterative method in the same time step circle and gradually eliminate the error of dispersing method. As the result, it has the same accuracy as all implicit no-split disperse method.The parallel computing method for channel 2D water flow is to split the whole river channel into some parts along the river. At the neighbor region, part meshes hasbeen overlapped as a coupling joint. In the calculation process, the different parts have been solved in the parallel way by different computing units. The single step solution is terminated when the difference is less than the specified value at overlap region. By this means, the parallel computing method has been realized.