Unified 2D numerical modelling of flows on ogee crest spillways

作者：Dewals Benjamin J^*; Erpicum Sebastien; Archambeau Pierre; Pirotton Michel

来源：Houille Blanche-Revue Internationale de l Eau, 2010, (6): 102-108.

DOI：10.1051/lhb/2010073

The modelling system WOLF 2D enables to combine different hydrodynamic sub-models within one single computation domain. For simulating flows on ogee crest spillways, the following three depth-averaged sub-models have been interconnected : (i) a conventional "shallow-water" model, (ii) a model suitable 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. This third 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 not uniform as assumed in the standard shallow-water equations. Similarly, centrifugal forces result in non-hydrostatic pressure distributions. 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 have demonstrated the accuracy and the practical applicability of the new model.

• 出版日期2010