Environmental Fluid Mechanics

, Volume 13, Issue 1, pp 89–100 | Cite as

Dike-break induced flows: a simplified model

  • F. Stilmant
  • M. Pirotton
  • P. Archambeau
  • S. Roger
  • S. Erpicum
  • B. Dewals
Original Article

Abstract

A simplified model for the prediction of the steady-state outflow through a breach in an inland dike is presented. It consists in the application of the mass and momentum conservation principles to a macroscopic control volume. A proper definition of the shape of the control volume enables to take the main characteristics of the flow into account and thus to compensate for the extreme simplification of the spatial representation of the model. At the breach, a relation derived from the shallow-water equations is used to determine the direction of the flow. Developments have been guided by numerical simulations and results have been compared to experimental data. Both the accuracy and the domain of validity of the simplified model are found satisfactory.

Keywords

Dike break Simplified model Control volume Critical flow 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Aureli F, Mignosa P (2004) Flooding scenarios due to levee breaking in the Po river. Water Manag 157: 3–12Google Scholar
  2. 2.
    Briechle S (2006) Die flächenhafte Ausbreitung der Flutwelle nach Versagen von Hochwasserschutzeinrichtungen an Fließgewässern (the aerial expansion of flood waves after failure of flood defence installations along rivers). Ph.D. thesis, Rheinisch-Westfälische Technische Hochschule Aachen, Aachen (in German)Google Scholar
  3. 3.
    Dewals B, Kantoush S, Erpicum S, Pirotton M, Schleiss A (2008) Experimental and numerical analysis of flow instabilities in rectangular shallow basins. Environ Fluid Mech 8: 31–54CrossRefGoogle Scholar
  4. 4.
    Erpicum S, Dewals B, Archambeau P, Pirotton M (2010) Dam-break flow computation based on an efficient flux-vector splitting. J Comput Appl Math 234: 2143–2151CrossRefGoogle Scholar
  5. 5.
    Hager W (1985) Critical flow condition in open channel hydraulics. Acta Mech 54: 157–179CrossRefGoogle Scholar
  6. 6.
    Hager W (1987) Lateral outflow over side weirs. J Hydraul Eng 113: 491–504CrossRefGoogle Scholar
  7. 7.
    Hager W, Volkart P (1986) Distribution channels. J Hydraul Eng 112: 935–952CrossRefGoogle Scholar
  8. 8.
    Kamrath P, Disse M, Hammer M, Köngeter J (2006) Assessment of discharge through a dike breach and simulation of flood wave propagation. Nat Hazards 38: 63–78CrossRefGoogle Scholar
  9. 9.
    Krishnappa G, Seetharamiah K (1963) A new method for predicting the flow in a 90° branch channel. La Houille Blanche 18: 775–778CrossRefGoogle Scholar
  10. 10.
    Ramamurthy A, Tran D, Carballada L (1990) Dividing flow in open channels. J Hydraul Eng 116: 449–455CrossRefGoogle Scholar
  11. 11.
    Roger S, Büsse E, Köngeter J (2006) Dike-break induced flood wave propagation. In: Gourbesville P et al (eds) 7th International conference on hydroinformatics, NiceGoogle Scholar
  12. 12.
    Roger S, Dewals B, Erpicum S, Schwanenberg D, Schüttrumpf H, Köngeter J, Pirotton M (2009) Experimental and numerical investigations of dike-break induced flows. J Hydraul Res 47: 349–359CrossRefGoogle Scholar
  13. 13.
    Roger S, Dewals B, Erpicum S, Schwanenberg D, Archambeau P, Köngeter J, Pirotton M, Schüttrumpf H (2010) Hybrid modelling of dike-break induced flows. In: Dittrich A et al (eds) 5th International conference on fluvial hydraulics (riverflow), Braunschweig, pp 523–531Google Scholar
  14. 14.
    Vorogushyn S, Merz B, Lindenschmidt KE, Apel H (1963) A new methodology for flood hazard assessment considering dike breaches. Water Res Res. doi:10.1029/2009WR008475

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • F. Stilmant
    • 1
  • M. Pirotton
    • 1
  • P. Archambeau
    • 1
  • S. Roger
    • 2
  • S. Erpicum
    • 1
  • B. Dewals
    • 1
  1. 1.Research Unit of Hydraulics in Environmental and Civil Engineering (HECE)University of LiègeLiegeBelgium
  2. 2.Institute of Hydraulic Engineering and Water Resources ManagementAachen UniversityAachenGermany

Personalised recommendations