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Depth-Averaged Flow Modeling in Curvilinear Coordinates

Author(s): Frederic Stilmant; Raphael Egan; Pierre Archambeau; Benjamin Dewals; Sebastien Erpicum; Michel Pirotton

Linked Author(s): Benjamin J. Dewals, Sébastien Erpicum

Keywords: Depth-integrated model; Curvilinear coordinates

Abstract: A set of depth-averaged equations in curvilinear coordinates is presented. This extension of the standard shallow water equations to curved flows and to jet flows leads to a model which is very versatile. Its applicability and precision is assessed by the computation of a discharge coefficient and the nappe profiles for a sharp crested weir. Results confirm the relevance of the approach. Even if not taken into consideration in the set of equations presented here, a discussion shows that head losses could be included in the model so as to extend its application field to many civil and environmental engineering applications.


Year: 2013

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