期刊
JOURNAL OF HYDRAULIC RESEARCH
卷 49, 期 3, 页码 307-316出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00221686.2011.566248
关键词
Dam break; friction term; Godunov-type method; shallow-water equation; well-balanced scheme; wetting and drying
资金
- UK Engineering and Physical Sciences Research Council (EPSRC) [EP/F030177/1]
- EPSRC [EP/I029346/1, EP/F030177/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I029346/1, EP/F030177/1] Funding Source: researchfish
Dam-break flows usually occur in domains with complex geometric and topographic features and involve abrupt flow patterns. A dam-break model must therefore be able to effectively handle different flow types including transcritical flows or hydraulic jumps, deal with complex domain topography, capture repeating wet-dry interface and represent high roughness values in the floodplain. Herein, all of these objectives are achieved by extending a recent one-dimensional finite volume Godunov-type model into two dimensions for solving the shallow-water equations. While doing so, a much simplified condition to maintain well-balanced solutions around a wet-dry front is proposed and a two-dimensional friction source term discretization is derived under a suitable stability condition in relation to practical simulations. The two-dimensional model is successfully validated against three analytical benchmark tests and then assessed for predicting realistic dam-break flood events.
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