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Numerical Modelling of Two-Dimensional Flow Patterns in Shallow Rectangular Basins

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Advances in Hydroinformatics

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The present work focuses on the two-dimensional (2D) depth-averaged turbulent flow in shallow rectangular basins. An accurate description of the hydrodynamics is required for further understanding the complex sediment transport processes. This work has practical engineering implication in relation to the rate of sediment deposited in reservoirs. The capability of the open-source TELEMAC modelling system to predict symmetric and non-symmetric recirculation flow patterns is analyzed by comparison with experimental results performed by Kantoush [4] for different geometry parameters and flow conditions. Numerical results are in good qualitative and quantitative agreement with experiments (regarding the number of recirculation cells and intensity of flow velocity) in symmetric and asymmetric situations. Furthermore, the influence of the mesh size, turbulence closure, and friction coefficients is also analyzed. Numerical results show good agreement in predicting 2D symmetric and non-symmetric flow patterns in laboratory conditions.

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  1. 1.


  1. Camnasio, E., Orsi, E., & Schleiss, A. J. (2011). Experimental study of velocity fields in rectangular shallow reservoirs. Journal of Hydraulic Research, 49(3), 352–358.

    Article  Google Scholar 

  2. Dufresne, M., Dewals, B. J., Erpicum, S., Archambeau, P., & Pirotton, M. (2010). Classification of flow patterns in rectangular shallow reservoirs. Journal of Hydraulic Research, 48(2), 197–204.

    Article  Google Scholar 

  3. Dewals, B. J., Kantoush, S. A., Erpicum, S., Pirotton, M., & Schleiss, A. J. (2008). Experimental and numerical analysis of flow instabilities in rectangular shallow flow basins. Environmental Fluid Mechanics, 8, 31–54.

    Article  Google Scholar 

  4. Kantoush, S. (2008). Experimental study on the influence of the geometry of shallow reservoirs on flow patterns and sedimentation by suspended sediments. Ph.D Thesis. Ecole Polytechnique Fédérale de Lausanne, Switzerland.

    Google Scholar 

  5. Peng, Y., Zhou, J. G., & Burrows, R. (2011). Modeling free-surface flow in rectangular shallow basins by using Lattice Boltzmann method. ASCE Journal of Hydraulics Engineering, 137, 12.

    Google Scholar 

  6. Hervouet, J.-M. (2007). Hydrodynamics of free surface flows: Modelling with the finite element method. England: Wiley.

    Book  Google Scholar 

  7. Mewis, P. & Holtz, K.-P. (1993). A quasi-bubble approach for the shallow water equations: Advances in hydro-science and engineering. Proceedings of the 1st international conference on hydroscience and engineering in Washington, (volume 1, pp. 768–774). Washington D.C. USA.

    Google Scholar 

  8. Chiang, T. P., Sheu, T. W. H., & Wang, S. K. (2000). Side wall effects on the structure of laminar flows over a plane-symmetric sudden expansion. Computers and Fluids, 29, 467–492.

    Article  Google Scholar 

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The authors would like to thank S. A. Kantoush (German University in Cairo) for their experimental data and advice. Helpful comments from B. Dewals (Université de Liège, Belgium) are gratefully acknowledged.

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Correspondence to Pablo Tassi .

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Secher, M., Hervouet, JM., Tassi, P., Valette, E., Villaret, C. (2014). Numerical Modelling of Two-Dimensional Flow Patterns in Shallow Rectangular Basins. In: Gourbesville, P., Cunge, J., Caignaert, G. (eds) Advances in Hydroinformatics. Springer Hydrogeology. Springer, Singapore.

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