Nonlinear Effects for Two-Dimensional Flows Past Submerged Bodies Moving at Low Froude Numbers.

The free-surface gravity flow past a cylinder is solved by inner and outer expansions in the potential plane. The linearized solution, based on an expansion in epsilon (the ratio between the radius and the depth of immersion) while F (the depth Froude number) is kept of order one, is subsequently expanded in a small F series. The second-order, nonlinear, terms are computed under this double expansion. The analysis is extended to expansions in the physical plane and to the case of a schematical thin body. The free-wave amplitude and wave resistance asymptotic sequence converges for a thickness Froude number larger than unity. (Author)