Experimental and numerical study of nonlinear modal characteristics of Faraday waves

Faraday wave means the standing wave produced in a vertically-excited tank. The wave characteristics and trigger conditions of various modes especially the high-order modes are rarely reported. In this paper, an in-house-code NEWTANK and a hexapod motion sloshing test platform were employed to study mode 1 to mode 5 Faraday waves. The two-dimensional (2D) nonlinear mode 1 and mode 2 Faraday waves were obtained through both experiments and simulations. Besides, the 2D strongly breaking mode 2, 2D steep mode 3 and fully three-dimensional (3D) mode 4 Faraday waves were investigated numerically. The free surface displacement and snapshots of Faraday waves in connection with the non-linearity and breaking phenomenon were presented and analyzed. The fast Fourier transform (FFT) technique was adopted to identify the frequency response. The transfer of transient nonlinear energy was also identified by using the Wavelet analysis technique. Finally, a fully 3D multiple modal Faraday wave was triggered under multiple frequency excitations.

Automated summary

This paper investigated Faraday waves from mode 1 to mode 5, studying the wave characteristics and trigger conditions of various modes through experiments and simulations. The free surface displacement and snapshots of Faraday waves in connection with non-linearity and breaking phenomenon were presented and analyzed, along with frequency response identification using FFT and transient nonlinear energy transfer identified using Wavelet analysis. Additionally, a fully 3D multiple modal Faraday wave was triggered under multiple frequency excitations.