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Experimental and numerical analysis of flow instabilities in rectangular shallow basins
Authors:B. J. Dewals  S. A. Kantoush  S. Erpicum  M. Pirotton  A. J. Schleiss
Affiliation:(1) Laboratory of Applied Hydrodynamics and Hydraulic Constructions, Department ArGEnCo - Secteur MS2F, HACH - Hydrodynamique Appliquée et Constructions Hydrauliques, University of Liege (ULG), Chemin des Chevreuils, 1-Bat B52/3, 4000 Liege, Belgium;(2) Laboratory of Hydraulic Constructions, Ecole Polytechnique Fédérale de Lausanne (EPFL), Station 18, 1015 Lausanne, Switzerland;(3) Belgian National Fund for Scientific Research (F.R.S.-FNRS), Brussels, Belgium
Abstract:
Free surface flows in several shallow rectangular basins have been analyzed experimentally, numerically and theoretically. Different geometries, characterized by different widths and lengths, are considered as well as different hydraulic conditions. First, the results of a series of experimental tests are briefly depicted. They reveal that, under clearly identified hydraulic and geometrical conditions, the flow pattern is found to become non-symmetric, in spite of the symmetrical inflow conditions, outflow conditions and geometry of the basin. This non-symmetric motion results from the growth of small disturbances actually present in the experimental initial and boundary conditions. Second, numerical simulations are conducted based on a depth-averaged approach and a finite volume scheme. The simulation results reproduce the global pattern of the flow observed experimentally and succeed in predicting the stability or instability of a symmetric flow pattern for all tested configurations. Finally, an analytical study provides mathematical insights into the conditions under which the symmetric flow pattern becomes unstable and clarifies the governing physical processes.
Keywords:Depth-averaged model  Finite volume  Reservoir hydrodynamics  Shallow flow  Stability analysis
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