Environmental Fluid Mechanics

, Volume 8, Issue 1, pp 31–54

Experimental and numerical analysis of flow instabilities in rectangular shallow basins

  • B. J. Dewals
  • S. A. Kantoush
  • S. Erpicum
  • M. Pirotton
  • A. J. Schleiss
Original Article

DOI: 10.1007/s10652-008-9053-z

Cite this article as:
Dewals, B.J., Kantoush, S.A., Erpicum, S. et al. Environ Fluid Mech (2008) 8: 31. doi:10.1007/s10652-008-9053-z

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 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • B. J. Dewals
    • 1
    • 3
  • S. A. Kantoush
    • 2
  • S. Erpicum
    • 1
  • M. Pirotton
    • 1
  • A. J. Schleiss
    • 2
  1. 1.Laboratory of Applied Hydrodynamics and Hydraulic Constructions, Department ArGEnCo - Secteur MS2F, HACH - Hydrodynamique Appliquée et Constructions HydrauliquesUniversity of Liege (ULG)LiegeBelgium
  2. 2.Laboratory of Hydraulic ConstructionsEcole Polytechnique Fédérale de Lausanne (EPFL)LausanneSwitzerland
  3. 3.Belgian National Fund for Scientific Research (F.R.S.-FNRS)BrusselsBelgium

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