Approximation of the Navier-Stokes system by multilayer models

  title={Approximation of the Navier-Stokes system by multilayer models},
  author={Emmanuel Audusse and M.-O. Bristeau and Marica Pelanti and Jacques Sainte-Marie},
Due to computational issues associated with the free surface NavierStokes or Euler equations, the simulations of geophysical flows are often carried out with shallow water type models of reduced complexity. Thus the hydrostatic assumption for shallow water flows leads to non-linear hyperbolic systems of Saint-Venant type [1]. For these vertically averaged models, efficient and robust numerical techniques [2, 3] are available and avoid to deal with moving meshes. Here, we are interested in flows… CONTINUE READING


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