Fully non-linear simulation of second-order resonance in a three-dimensional tank using the PSME method

► Non-linear second-order sloshing waves in a three-dimensional shallow water tank are simulated using a PSME method. ► The effects of excitation frequency, water depth, base ratio and amplitude of excitation are studied. ► The wave pattern is highly dependent on the water depth in the tank, but relatively insensitive to excitation amplitude. ► The non-linearity effects are significant in the second-order sloshing in shallow water.