Retrieval of the shape of the bottom surface of a channel when the free surface profile is given

摘要

Two-dimensional, steady, inviscid, irrational, incompressible and gravity influenced free surface fluid flow a channel, over a step of an unknown shape, was investigated when the free surface profile is given. A combination of he boundary integral method, the minimal height method and the application of a minimum plot procedure were employed in order to give an optimal solution to the problem.