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A Numerical Model for 1D Bed Morphology Calculations

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  • Hriday Mani Kalita

    (National Institute of Technology Meghalaya)

Abstract

The present work proposes a new morphodynamic model for flow simulation in open channels. The governing one dimensional (1D) shallow water equations along with the Exner sediment continuity equation are solved here using coupled approach. A TVD based MacCormack predictor corrector method is used here for solution of the coupled governing equations. The developed numerical model is used to replicate several test cases of known experimental and approximate solutions. These cases include bed aggradation due to sediment overloading, bed degradation due to sediment shut-off, dam break flow over erodible bed and movable bump due to subcritical and transcritical flows. The results obtained are found to be excellent and free from oscillations near sharp gradient. The numerical model is also found to be capable of capturing the wave-fronts of both water surface and bed sediment. Quantitative analysis of the results in terms of two statistical parameters establishes the potential of the present model in more complicated practical problems.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:34:y:2020:i:15:d:10.1007_s11269-020-02707-0
    DOI: 10.1007/s11269-020-02707-0
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    References listed on IDEAS

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    6. Alibek Issakhov & Yeldos Zhandaulet, 2020. "Numerical Study of Dam Break Waves on Movable Beds for Complex Terrain by Volume of Fluid Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(2), pages 463-480, January.
    7. 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.
    8. Alibek Issakhov & Yeldos Zhandaulet, 2020. "Numerical Simulation of Dam Break Waves on Movable Beds for Various Forms of the Obstacle by VOF Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(8), pages 2269-2289, June.
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    2. Alireza Khoshkonesh & Blaise Nsom & Farhad Bahmanpouri & Fariba Ahmadi Dehrashid & Atefeh Adeli, 2021. "Numerical Study of the Dynamics and Structure of a Partial Dam-Break Flow Using the VOF Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(5), pages 1513-1528, March.
    3. Riddick Kakati & Vinay Chembolu & Subashisa Dutta, 2022. "Experimental and Numerical Investigation of Hybrid River Training Works using OpenFOAM," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(8), pages 2847-2863, June.

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