Solution to the Shallow Water Equation with Diffusion Motion
The diffusion motion is one of the important items in the shallow water equations, and it is a crucial factor for the stability to simulate the shallow water flow in numerical model. 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 Reos 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 flow around a pillar is simulated, which flow pattern is similar with the actual flow. Lastly, the tidal flow around an artificial island in the HZM Bridge is simulated by the mode successful. So it is present the model could be applied to simulate the complicated current structure in the water area around hydraulic construction.
diffusion motion shallow water flow finite volume method unstructured grids artificial island
J. He W.J. Xin Y.S.Jia
River and Harbor Engineering Department, Nanjing Hydraulic Research Institute, Nanjing 210024, China River and Harbor Engineering Department, Nanjing Hydraulic Research Institute, Nanjing 210024, China
国际会议
第三届亚太国际工程中计算方法学术会议暨第五届全国工程中边界元、无网格等数值方法学术会议(ICOME2009)
南京
英文
1-6
2009-10-18（万方平台首次上网日期，不代表论文的发表时间）