Numerical calculation of the translational forced oscillations of a sloshing liquid in axially symmetric tanks

The irrotational motion of a homogeneous, ideal and incompressible liquid due to translational forced excitations of its containment has been investigated. The fluid fills partially a tank with rotational symmetry which is excited harmonically normal to its symmetry axis. The direction of the gravitational field is supposed to be parallel to the axis of the container. Under the assumptions made the potential flow of the liquid is governed by the Laplace equation, the impenetrability condition at the wetted tank wall and the conditions at the free liquid surface. In order to solve the problem under consideration numerically, a panel method has been applied. Computational experiments for the case of a fluid enclosed in a right circular cylindrical container show very good agreement with the analytical solution.