摘要
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 water flow in this paper.Compared with the traditional FEM,the present scheme not only has high accuracy but also can avoid spurious oscillation when solving the problems of convection dominated flows or flows with discontinuities.The numerical results of a partial dam breaking illustration agree well with other numerical results obtained by using high resolution ratio finite volume method or finite difference method,which shows the reliability and validity of the proposed method.
出处
《长江科学院院报》
CSCD
北大核心
2001年第1期13-15,共3页
Journal of Changjiang River Scientific Research Institute
基金
国家自然科学基金委员会与水利部联合资助重大项目! (5 9890 2 0 0 )
关键词
浅水流动
有限元分析
高分辨率格式
溃坝流动
shallow water flow
finite element analysis
high resolution ratio scheme
