Two-dimensional shallow water flow modeling based on an improved unstructured finite volume algorithm | Zendy

Sheng Bi | Zendy; Lixiang Song | Zendy; Jianzhong Zhou | Zendy; Linghang Xing | Zendy; Huang Guo-bing | Zendy; Minghai Huang | Zendy; Suncana Kursan | Zendy

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Two-dimensional shallow water flow modeling based on an improved unstructured finite volume algorithm

Author(s) -

Sheng Bi,

Lixiang Song,

Jianzhong Zhou,

Linghang Xing,

Huang Guo-bing,

Minghai Huang,

Suncana Kursan

Publication year - 2015

Publication title -

advances in mechanical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.318

H-Index - 40

eISSN - 1687-8140

pISSN - 1687-8132

DOI - 10.1177/1687814015598181

Subject(s) - finite volume method , discretization , free surface , flow (mathematics) , vertex (graph theory) , volume of fluid method , computer simulation , shallow water equations , oscillation (cell signaling) , momentum (technical analysis) , wetting , mechanics , computer science , algorithm , mathematical optimization , mathematics , engineering , mathematical analysis , physics , graph , finance , chemical engineering , biology , economics , genetics , theoretical computer science

An improved finite volume algorithm is proposed for modeling the free surface flows. The effects of variable reconstruction and treatments for partially wetted cells on numerical oscillations are demonstrated through a complex field-scale simulation. Results show that the combination of a vertex-based slope limiting approach and an updating strategy that the continuity and momentum equations should be simultaneously updated for partially wetted cells is essential to prevent unphysical oscillations. In this situation, the bed slope terms in wetted cells are exactly discretized, whereas the divergence-form-based approach is adopted for partially wetted cells. This new hybrid method provides an alternative way that precisely preserves the well-balanced property. A practical application of realistic dam-break flood propagation is presented. It is found that the model is free of numerical oscillation and can accurately predict dam-break flows over complicated topography with wetting and drying

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