Numerical simulations of sloshing waves in vertically excited square tank by improved MPS method

Faraday wave is a phenomenon of sloshing due to a heave motion of a partially filled tank, which is also called parametric instability or parametric resonance. In the present paper, the phenomenon of faraday wave in a pure heave excited square tank is numerically simulated through the moving particle semi-implicit (MPS) method. The surface tension effect and a new Dirichlet boundary condition for the pressure Poisson equation are considered to avert unphysical fragmentation and clustering of particles in splash simulation. In the numerical simulation, the evolution of wave motion, and the non-linearity together with breaking phenomenon of faraday wave can be observed. The agreement is good in general, both amplitude and phase. Besides, the parameter studies including the excitation frequency and the forcing amplitude are carried out to analyses the mechanism of resonances response.