A boundary integral technique for solving for an unknown bottom surface given a free surface fluid flow (Q2712010)

This study investigates the inverse problem of retrieving the bottom surface of a channel if the free surface profile and the fluid velocity on the free surface are given. The fluid flows over a fall and over a single hump are considered. The position and shape of the obstacle on the bottom surface of the channel are determined by minimizing the energy functional in a two-dimensional, steady, inviscid, incompressible and irrotational fluid flow under the effects of gravity. The performance and limitations of the proposed method are investigated.NEWLINENEWLINEFor the entire collection see [Zbl 0955.00057].