Application of Trefftz-type boundary element method to sloshing analysis

摘要

When a vessel containing a water is oscillated in the horizontal direction with a external force, waves occurs on the water surface. This is called as the sloshing phenomenon. This paper describes the application of the Trefftz-type boundary element method to the simulation of the sloshing phenomenon. Assuming that the fluid could be the perfect fluid, the phenomenon can be modeled as the initial and the boundary values problem of the Laplace equation with respect to the velocity potential. The governing equation is firstly solved with the boundary conditions to determine the velocity components on the fluid surface. The surface is moved according to the surface velocity at each time step. One of the most important part of this process is to accurately estimate the velocity components on the surface. In this study, the Trefftz-type boundary element method is applied for this analysis. The present scheme is applied to the simulation of the sloshing phenomenon on the fluid in a rectangular vessel. The results are compared with them by the finite element methods in order to confirm the validity of the present scheme.