Simulation of Two-Dimension Shallow Water Equation By The Least-Squares Finite Element Method

• Main Authors: Qing-Xian Lai, 賴慶賢
• Other Authors: none
• Format: Others
• Language: zh-TW
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/52353771629982055017

碩士 === 中原大學 === 土木工程研究所 === 90 === ABSTRACT This study is focused on the numerical simulation of discontinuous free surface problems such as the supercritical shock waves flowing on various geometries and the flow field of a broken dam. The Least-square finite element method (LSFEM) is adopted for the simulation of two-dimensional nonlinear shallow water equation. The simulation of supercritical shock waves in the following five different geometries: one-side oblique contraction channel, one-side oblique expansion channel, a oblique contraction-expansion channel, curved contraction expansion and curved contraction channel are evaluated by the theoretical solution, and the simulated results of previous published data. The dam break problems are also simulated with the reservoir water depth ratio of 10/5 in one dimension dam break and 10/9, 2, and 1 in partial dam break. The simulated results are shown to be in good agreement with analytical solution and numerical results of other methods. This paper demonstrates that the LSFEM can effectively simulate the supercritical shock waves and dam break flow with discontinuous free surface. Key words：least-square finite element method、shallow water equation 、supercritical flow、partial dam break