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Numerical Simulation for 2D Shallow Water Equations by Using Godunov-Type Scheme with Unstructured Mesh

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Abstract

In order to establish a well-balanced scheme, 2D shallow water equations were transformed and solved by using the Finite Volume Method (FVM) with unstructured mesh. The numerical flux from the interface between cells was computed with an exact Riemann solver, and the improved dry Riemann solver was applied to deal with the wet/dry problems. The model was verified through computing some typical examples and the tidal bore on the Qiantang River. The results show that the scheme is robust and accurate, and could be applied extensively to engineering problems.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200436, China

    Cun-hong Pan & Shi-qiang Dai

  2. Zhejiang Institute of Hydraulics and Estuary, Hangzhou, 310020, China

    Cun-hong Pan & Sen-mei Chen

Authors
  1. Cun-hong Pan
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  2. Shi-qiang Dai
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  3. Sen-mei Chen
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Corresponding author

Correspondence to Cun-hong Pan.

Additional information

Project supported by the Natural Science Foundation of Zhejiang Province (Grant No: M403054).

Biography: PAN Cun-hong(1963-), Male, Master, Professor

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Pan, Ch., Dai, Sq. & Chen, Sm. Numerical Simulation for 2D Shallow Water Equations by Using Godunov-Type Scheme with Unstructured Mesh. J Hydrodyn 18, 475–480 (2006). https://doi.org/10.1016/S1001-6058(06)60123-6

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  • DOI: https://doi.org/10.1016/S1001-6058(06)60123-6

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