Abstract

This paper describes the application of the method of fundamental solutions (MFS) and the collocation method to the simulation of the sloshing phenomenon on an ideal fluid in a two-dimensional rectangular vessel. The phenomenon is governed by the Laplace equation with respect to the velocity potential. The equation is solved with nonlinear boundary conditions. The velocity potential is approximated by a linear superposition of fundamental solutions with the appropriate coeficients at each time step.

Keywords

method of fundamental solutions (MFS), collocation points, source points, substantive (material) derivative, sloshing phenomenon

Authors