Mohammed Louaked
Universitè de Caen, France

Well-balanced component-wise scheme and optimal shape for hydraulics structures
We present a well-balanced numerical scheme for solving free surface flows involving wetting and drying. The proposed algorithm combines a component-wise approach with hydrostatic reconstruction strategy to compute flows over wet or dry surfaces and to satisfy the steady state condition of still water. The resulting scheme is applied to an optimal design problem in order to improve the structure's hydraulic performance.