Characterisation of Ship-Induced Long-Period Primary Waves Using Nonlinear Fourier Transform (KdV-NFT)

Conference paper (2022)

Authors

M. Brühl Team Sander Wahls - Mechanical, Maritime and Materials Engineering

S. Wahls Team Sander Wahls - Mechanical, Maritime and Materials Engineering

Research Group

Team Sander Wahls (Mechanical, Maritime and Materials Engineering) (TU Delft)

Trains Geometry Time series Fourier transforms Waves Vessels Time-domain analysis Ships Korteweg-de Vries equation Solitons Spectra (Spectroscopy) Dynamics (Mechanics) Nonlinear waves

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Published Date

2022

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Sander Wahls

Abstract

Large vessels propagating in narrow, shallow maritime waterways generate a system of ship-induced waves consisting of long-period primary waves and short-period secondary waves. Progressive long-period free-surface wave systems are governed by the Korteweg–de Vries (KdV) equation, and are known to possibly disperse into a train of solitons and trailing oscillatory waves in the far field. By application of the nonlinear Fourier transform based on the KdV equation (KdV-NFT), these far-field solitons can already be revealed in the nonlinear spectra of the near-field data. In this paper, we apply the KdV-NFT to measured ship-wave time series from experiments in order to investigate the solitonic structures of these strongly nonlinear waves. Furthermore, we present qualitative and quantitative relations between the spectral solitons from frequency-domain KdV-NFT and channel, geometry, ship dynamics and primary-wave height as obtained by time-domain analysis of the time series.