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Two-dimensional coupled mathematical modeling of fluvial processes with intense sediment transport and rapid bed evolution

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Abstract

Alluvial rivers may experience intense sediment transport and rapid bed evolution under a high flow regime, for which traditional decoupled mathematical river models based on simplified conservation equations are not applicable. A two-dimensional coupled mathematical model is presented, which is generally applicable to the fluvial processes with either intense or weak sediment transport. The governing equations of the model comprise the complete shallow water hydrodynamic equations closed with Manning roughness for boundary resistance and empirical relationships for sediment exchange with the erodible bed. The second-order Total-Variation-Diminishing version of the Weighted-Average-Flux method, along with the HLLC approximate Riemann Solver, is adapted to solve the governing equations, which can properly resolve shock waves and contact discontinuities. The model is applied to the pilot study of the flooding due to a sudden outburst of a real glacial-lake.

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Authors and Affiliations

  1. State Key Laboratory of Water Resources & Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China

    ZhiYuan Yue & ZhiXian Cao

  2. Cold & Arid Regions Environmental & Engineering Research Institute, Chinese Academy of Sciences, Lanzhou, 730000, China

    Xin Li & Tao Che

Authors
  1. ZhiYuan Yue
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  2. ZhiXian Cao
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  3. Xin Li
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  4. Tao Che
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Corresponding author

Correspondence to ZhiXian Cao.

Additional information

Supported by the National Basic Research and Development Program of China (973 Program) (Grant No. 2007CB14106), the National Natural Science Foundation of China (Grant No. 50459001), and the Key Project of Chinese Academy of Sciences (Grant No. KZCX3-SW-357-02)

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Yue, Z., Cao, Z., Li, X. et al. Two-dimensional coupled mathematical modeling of fluvial processes with intense sediment transport and rapid bed evolution. Sci. China Ser. G-Phys. Mech. Astron. 51, 1427–1438 (2008). https://doi.org/10.1007/s11433-008-0135-1

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  • DOI: https://doi.org/10.1007/s11433-008-0135-1

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