[en] The hydrodynamic modelling system WOLF 2D enables to combine different hydrodynamic sub-models within one single computation domain. For instance, for the purpose of simulating flows in the vicinity of spillways, the following three hydrodynamic sub-models are interconnected: (i) a conventional “shallow-water” model, (ii) a suitable model for the simulation of the flow on the topographic step directly upstream of the spillway and (iii) a model able to accurately account for the bottom curvature near the spillway crest, along the spillway and at its bottom. In the latter model, based on curvilinear coordinates in the vertical plane, takes into consideration not only the bottom slope but also the bottom curvature in the vertical plane. As a result, the velocity profile along the water depth is generalized compared to the uniform profile usually assumed in the standard shallow-water equations and the pressure distribution is also modified as a function of the bottom curvature and is thus not purely hydrostatic but accounts for the effect of centrifugal forces.
This extended mathematical model has been implemented within the modelling system WOLF 2D, based on a new finite volume scheme. Several validation examples and a real application demonstrate the accuracy and the practical applicability of the new model.
Aquapôle - AQUAPOLE
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS