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Comparison between shallow water and Boussinesq models for predicting cascading dam-break flows

Author

Listed:
  • Jian Wang

    (Shanghai Jiao Tong University)

  • Dongfang Liang

    (Shanghai Jiao Tong University
    University of Cambridge)

  • Jingxin Zhang

    (Shanghai Jiao Tong University)

  • Yang Xiao

    (Hohai University)

Abstract

This paper investigates the flood wave propagation between two reservoirs, linked by an open channel with a constant gradient. The dam-break flows are caused by the collapse of the upstream dam. The performance of two mathematical models is evaluated: one is based on the standard shallow water equations, and the other is based on the shallow water Boussinesq equations. Both models are solved numerically herein using a total variation diminishing Lax–Wendroff scheme. Computed results are systematically compared, with the laboratory measurements used as references. In particular, this paper extensively examines the run-up of the flood wave on the downstream dam wall, and its dependence on the bed slope and the initial water depths in the upstream and downstream reservoirs. The findings are useful for analyzing the risk of cascading dam failures. Overall, the Boussinesq model is found to give better agreement with the measurements, as it is capable of capturing the short undulations at the front of the flood bore. The superior performance of the Boussinesq model is more significant at larger downstream water depths.

Suggested Citation

  • Jian Wang & Dongfang Liang & Jingxin Zhang & Yang Xiao, 2016. "Comparison between shallow water and Boussinesq models for predicting cascading dam-break flows," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 83(1), pages 327-343, August.
    • Handle: RePEc:spr:nathaz:v:83:y:2016:i:1:d:10.1007_s11069-016-2317-x
    DOI: 10.1007/s11069-016-2317-x
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    Cited by:

    1. Hui Hu & Jianfeng Zhang & Tao Li & Jie Yang, 2020. "A simplified mathematical model for the dam-breach hydrograph for three reservoir geometries following a sudden full dam break," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 102(3), pages 1515-1540, July.
    2. Hriday Mani Kalita, 2020. "A Numerical Model for 1D Bed Morphology Calculations," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4975-4989, December.

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