The motion of elliptic cylinder under free surface

All-Russian conference on Nonlinear Waves: Theory and New Applications

Kostikov, V.K.^1,2 ; Makarenko, N.I.^1,2

Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia^1

Novosibirsk State University, Novosibirsk, Russia^2

关键词: Constant acceleration;    Elliptic cylinder;    Elliptical cylinder;    Free surface shapes;    Free surfaces;    Integro-differential system;    Nonlinear waves;    Tangential components;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012021/pdf
DOI  :  10.1088/1742-6596/722/1/012021

来源: IOP

【 摘 要 】

A problem on generation of unsteady nonlinear waves on the surface of an infinitely deep ideal fluid due to the motion of a submerged elliptical cylinder is considered. It is supposed that the cylinder can rotate in addition to translational two-dimensional motion. The initial formulation of the problem is reduced to an integrodifferential system of equations for the functions defining the free surface shape, the normal and tangential components of velocity on the free boundary. The small-time asymptotics of the solution is constructed in the case of the cylinder that moves with a constant acceleration from rest.