Generation of a spatially periodic directional wave field in a rectangular wave basin based on higher-order spectral simulation

Abstract

A new wave generation method, called HOSM-WG, is presented in this paper. The method utilizes the precomputed spatially periodic wave field based on the higher-order spectral method (HOSM) simulation to calculate the wave-maker signals. The spatially periodic wave fields were reproduced in a rectangular basin with 382 wave makers on the peripheral. Upon wave generation, the bound components are excluded from the spectrum and the free waves are generated by applying the Schäffer's second-order correction. The HOSM-WG was first validated for unidirectional spatially-periodic modulated wave trains generated in physical and numerical wave basins. Then, freak waves in unidirectional irregular waves and in directional irregular waves were generated. The time series of surface elevation, frequency spectra, and spatial wave profiles compared well between the HOSM-WG and HOSM simulation even for a broad bimodal directional spectrum.