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Weighted essential non-oscillatory schemes for tidal bore on unstructured meshes. (English) Zbl 1156.76038

Summary: The third-order weighted essential non-oscillatory schemes are used to simulate on unstructured meshes two-dimensional shallow water equations with source terms. The balance of the flux and source terms makes the shallow water equations fit to non-flat bottom. 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 flows accurately, and that they effectively capture strong discontinuities in water waves, such as dam break and tidal bore.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
86A05 Hydrology, hydrography, oceanography
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