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Multilayer Saint-Venant Model with Variable Density

Response of a stratified lake to wind stress

Temperature stratification with Tepi = 20 ° C, Thypo = 7 ° C, Tmeta = linear variation.

Vwind = 15 m/s.

Wind stopped after 18 hours.

  • movie

    References:

  • E. Audusse, M.-O. Bristeau, M. Pelanti, and J. Sainte-Marie, Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution, J. Comput. Phys., 230:9, 3453-3478, 2011.
  • E. Audusse, M.-O. Bristeau, B. Perthame and J. Sainte-Marie, A multilayer Saint-Venant system with mass exchanges for Shallow Water flows, M2AN, 45, 169-200, (2010).
    This work has been carried in the framework of a joint research project between the INRIA team BANG and the French National Laboratory of Hydraulics and Environment (EDF Research and Development). Principal collaborators: M.-O. Bristeau (INRIA), J. Sainte-Marie (INRIA and LNHE-EDF), M.-J. Salençon (EDF R&D).