Depth Averaged Modelling of Turbulent Shallow Water Flow with Wet-Dry Fronts

Abstract

Depth averaged models are widely used in engineering practice in order to model environmental flows in river and coastal regions, as well as shallow flows in hydraulic structures. This paper deals with depth averaged turbulence modelling. The most important and widely used depth averaged turbulence models are reviewed and discussed, and a depth averaged algebraic stress model is presented. A finite volume model for solving the depth averaged shallow water equations coupled with several turbulence models is described with special attention to the modelling of wet-dry fronts. In order to asses the performance of the model, several flows are modelled and the numerical results are compared with experimental data.

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Cea, L., Puertas, J. & Vázquez-Cendón, M. Depth Averaged Modelling of Turbulent Shallow Water Flow with Wet-Dry Fronts. Arch Computat Methods Eng 14, 303–341 (2007). https://doi.org/10.1007/s11831-007-9009-3

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Keywords

  • Turbulent Kinetic Energy
  • Turbulence Model
  • Reynolds Stress
  • Eddy Viscosity
  • Shallow Water Equation