建立了一种高分辨率格式的有限元法,并在此基础上对二维浅水流动的间断问题进行了数值 模拟。该有限元格式同传统的有限元法相比,既具有较高的离散精度,同时又能避免间断 附近的高频振荡和对流占优造成的虚假振荡。文中算例给出的以浅水方程作为控制方程的溃 坝流动的模拟结果同高分辨率格式的有限体积法、有限差分法的模拟结果吻合较好,表明 文中的格式是可靠有效的。

 A highresolution finite element scheme is presented to simulate 2D shallow w a ter flow in this paper.Compared with the traditional FEM,the present scheme not only ha s high accuracy but also can avoid spurious oscillation when solving the problem s of convectiondominated flows or flows with discontinuities.The numerical res ults of a partial dambreaking illustration agree well with other numerical res u lts obtained by using highresolution ratio finite volume method or finite diff erence method,which shows the reliability and validity of the proposed method.