Formation of an attached cavity with fixed separation points upon impact of a floating circular cylinder

The plane problem of the vertical and separation impact of a circular cylinder under the free surface of an ideal incompressible heavy fluid is considered. It is assumed that after the impact the cylinder moves deep into the liquid at a constant speed. The dynamics of an attached cavity formed behind a body is studied under the assumption that the separation points of the internal free boundary of the liquid are motionless. The characteristic physical quantities – the Froude number and pressure in the cavern are chosen in such a way that the Kutta–Zhukovsky condition is satisfied at the separation points.