Abstract
This paper describes the simulation scheme of the sloshing phenomenon using the Trefftz-type boundary element method. The phenomenon is governed by the Laplace equation with respect to the velocity potential. The governing equation is solved with the boundary conditions to determine the velocity components on the fluid surface. The surface is moved according to the velocity vector at each time step. Since, in the Trefftz method, the potential is approximated with the linear combination of the regular T-complete functions, the direct differentiation of the approximate expression leads to the velocity vector. Moreover, the acceleration vector is also estimated easily in the same way. This paper describes that the acceleration vector, in addition to the velocity vector is employed for the simulation and thus, the computational time can be reduced fairly. Finally, the present scheme is applied to the simulation of the sloshing phenomenon on the fluid in a rectangular vessel.
