Dynamics of Separation Points Upon Impact of a Floating Circular Cylinder

Abstract

The two-dimensional problem of vertical separation impact of a circular cylinder under the free surface of a heavy liquid is considered. The problem is studied in a linearized formulation corresponding to low velocities of the body and liquid and taking into account the dynamics of the points of separation of the cavitation zone. A coupled nonlinear problem is formulated, which includes a mixed boundary-value problem of potential theory with one-sided constraints on the surface of the body and an equation defining the law of motion of the cylinder. Examples demonstrating the dynamics of separation points during forced or free cylinder motions are considered. Numerical results obtained using the proposed mathematical model are compared with the results of asymptotic analysis of the initial nonlinear problem for small times.