[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.
Research Center/Unit :
Aquapôle - ULiège
Disciplines :
Civil engineering
Author, co-author :
Dewals, Benjamin ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Erpicum, Sébastien ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydraulique génér., const. hydraul. et méc. des fluides
Archambeau, Pierre ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Pirotton, Michel ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Language :
French
Title :
Modélisation numérique 2D unifiée des écoulements sur des évacuateurs de crue avec déversoir
Alternative titles :
[en] Unified 2D numerical modelling of flows on ogee crest spillways
Publication date :
December 2010
Journal title :
Houille Blanche
ISSN :
0018-6368
eISSN :
1958-5551
Publisher :
Société Hydrotechnique de France, Grenoble, France
Issue :
6
Pages :
102-108
Peer reviewed :
Peer reviewed
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]