Weighted essential non-oscillatory schemes for tidal bore on unstructured meshes

摘要

In this paper, the third-order weighted essential non-oscillatory (WENO) schemes are used to simulate the two-dimensional shallow water equations with the source terms on unstructured meshes. The balance of the flux and the source terms makes the shallow water equations fit to non-flat bottom questions. The simulation of a tidal bore on an estuary with trumpet shape and Qiantang river is performed; the results show that the schemes can be used to simulate the current flow accurately and catch the stronger discontinuous in water wave, such as dam break and tidal bore effectively.