Abstract
In this paper, a 2D model for the simulation of shallow water flow by convection and diffusion over variable bottom is presented, which is based on a finite volume method over triangular unstructured grids. The format of Reo’s approximate Riemann is adopted to solve the flux terms. And the bed slope source term is treated by split in the form of the flux eigenvector. For the diffusion terms, the divergence theorem is employed to obtain the derivatives of a scalar variable on each triangular cell. Then, the process of tidal current and sediment in Huangmaohai bay is simulated, which flow pattern is similar with the actual flow. So it is present the model could be applied to simulate the complicated current structure in the water area around hydraulic construction.
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