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Main Title: On the Deterministic Prediction of Water Waves
Author(s): Klein, Marco
Dudek, Matthias
Clauss, Günther F.
Ehlers, Sören
Behrendt, Jasper
Hoffmann, Norbert
Onorato, Miguel
Type: Article
Language Code: en
Abstract: This paper discusses the potential of deterministic wave prediction as one basic module for decision support of offshore operations. Therefore, methods of different complexity—the linear wave solution, the non-linear Schrödinger equation (NLSE) of two different orders and the high-order spectral method (HOSM)—are presented in terms of applicability and limitations of use. For this purpose, irregular sea states with varying parameters are addressed by numerical simulations as well as model tests in the controlled environment of a seakeeping basin. The irregular sea state investigations focuses on JONSWAP spectra with varying wave steepness and enhancement factor. In addition, the influence of the propagation distance as well as the forecast horizon is discussed. For the evaluation of the accuracy of the prediction, the surface similarity parameter is used, allowing an exact, quantitative validation of the results. Based on the results, the pros and cons of the different deterministic wave prediction methods are discussed. In conclusion, this paper shows that the classical NLSE is not applicable for deterministic wave prediction of arbitrary irregular sea states compared to the linear solution. However, the application of the exact linear dispersion operator within the linear dispersive part of the NLSE increased the accuracy of the prediction for small wave steepness significantly. In addition, it is shown that non-linear deterministic wave prediction based on second-order NLSE as well as HOSM leads to a substantial improvement of the prediction quality for moderate and steep irregular wave trains in terms of individual waves and prediction distance, with the HOSM providing a high accuracy over a wider range of applications.
Issue Date: 7-Jan-2020
Date Available: 29-Apr-2020
DDC Class: 600 Technik, Technologie
Subject(s): decision support system
non-linear wave prediction
high-order spectral method
second-order non-linear Schrödinger equation
JONSWAP Spectrum
Sponsor/Funder: BMWi, 03SX358A, PrOWOO - Prognose Optimaler Wetterfenster für Offshore Operationen; Vorhaben: Nichtlineare Seegangs- und Bewegungsvorhersage
Journal Title: Fluids
Publisher: MDPI
Publisher Place: Basel
Volume: 5
Issue: 1
Article Number: 9
Publisher DOI: 10.3390/fluids5010009
EISSN: 2311-5521
Appears in Collections:Inst. Land- und Seeverkehr (ILS) » Publications

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