Nonlinear simulation of resonant sloshing in wedged tanks using boundary element method

• Nonlinear sloshing in wedged tanks is simulated based on BEM.
• An improved semi-Lagrangian procedure is introduced for free-surface updating.
• Featured resonant sloshing phenomena in wedged tanks are observed.
• Faraday waves in wedged tanks are investigated.

Nonlinear sloshing problems in wedged tanks are simulated based on the paralleled boundary element method. An improved semi-Lagrangian procedure is introduced for the free-surface updating near non-vertical tank walls. Two types of resonances are mainly considered. One is the classical resonance, which is induced by a lateral excitation on the tank. Featured sloshing phenomena in wedged tanks are observed compared with those in rectangular tanks. The other type is the Faraday waves due to the forced tank oscillation perpendicular to the undisturbed free-surface plane. Effects of the excitation frequency, acceleration amplitude, instability regions and initial free-surface disturbance on behaviours of the resonant sloshing in wedged tanks are investigated.