A numerical method to solve shallow water equations

摘要：

A discontinuous Galerkin (DG) finite element method is described for the two-dimensional, depthintegrated shallow water equations (SWEs). This method is based on formulating the SWEs as a system of conservation laws, or advection-diffusion equations. A weak formulation is obtained by integrating the equations over a single element, and approximating the unknowns by piecewise, possibly discontinuous, polynomials. Because of its local nature, the DG method easily allows for varying the polynomial order of approximation. It is also locally conservative, and incorporates upwind numerical fluxes for modeling problems with high flow gradients. Numerical results are also presented.

关键词： Shallow water equations Discontinuous Galerkin method Flux

作者: WANG Xianmin PANG Yong HUANG Zhihua HAN Tao TANG Lei

作者单位: College of Environment Science and Engineering, Hohai University, Nanjing 210098, China The Environm College of Environment Science and Engineering, Hohai University, Nanjing 210098, China The Environmental Protection Agency of Zhanjiang 524022, China Nanjing Institute of Geography and Limnology Chinese Academy of Sciences 210008,China College of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China

会议类型: 国际会议

会议名称: The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)

会议地点: 无锡

会议语种:英文

页码: 36-39

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）