# Numerical computations of the nonlinear energy transfer of gravity-wave spectra in finite water depths

Research output: Contribution to journalArticle

18 Citations (Scopus)

### Abstract

A new computational scheme for calculating the nonlinear energy transfer in finite-depth gravity wave spectra has been developed by extending the methods established by Masuda (1980) and Komatsu et al. (1993). In this paper, the formulations for the numerical computation of the nonlinear energy transfer for finite-depth water waves are shown with the analytical solution around the singular point of the Boltzmann integral. The numerical computational procedure for the proposed method is described in detail. Some results of numerical examinations for finite water depth, assuming two different types of directional spectra, are shown with discussions on the validity of the proposed method.

Original language English 23-40 18 Coastal Engineering Journal 40 1 https://doi.org/10.1142/S0578563498000030 Published - Jan 1 1998 Yes

### Fingerprint

Gravity Waves
Gravity waves
Energy Transfer
Numerical Computation
Energy transfer
Water
Water waves
Water Waves
Singular Point
Ludwig Boltzmann
Analytical Solution
Formulation

### All Science Journal Classification (ASJC) codes

• Civil and Structural Engineering
• Modelling and Simulation
• Ocean Engineering

### Cite this

In: Coastal Engineering Journal, Vol. 40, No. 1, 01.01.1998, p. 23-40.

Research output: Contribution to journalArticle

title = "Numerical computations of the nonlinear energy transfer of gravity-wave spectra in finite water depths",
abstract = "A new computational scheme for calculating the nonlinear energy transfer in finite-depth gravity wave spectra has been developed by extending the methods established by Masuda (1980) and Komatsu et al. (1993). In this paper, the formulations for the numerical computation of the nonlinear energy transfer for finite-depth water waves are shown with the analytical solution around the singular point of the Boltzmann integral. The numerical computational procedure for the proposed method is described in detail. Some results of numerical examinations for finite water depth, assuming two different types of directional spectra, are shown with discussions on the validity of the proposed method.",
author = "Noriaki Hashimoto and Hiroichi Tsuruya and Yasuyuki Nakagawa",
year = "1998",
month = "1",
day = "1",
doi = "10.1142/S0578563498000030",
language = "English",
volume = "40",
pages = "23--40",
journal = "Coastal Engineering in Japan",
issn = "0578-5634",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",

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TY - JOUR

T1 - Numerical computations of the nonlinear energy transfer of gravity-wave spectra in finite water depths

AU - Hashimoto, Noriaki

AU - Tsuruya, Hiroichi

AU - Nakagawa, Yasuyuki

PY - 1998/1/1

Y1 - 1998/1/1

N2 - A new computational scheme for calculating the nonlinear energy transfer in finite-depth gravity wave spectra has been developed by extending the methods established by Masuda (1980) and Komatsu et al. (1993). In this paper, the formulations for the numerical computation of the nonlinear energy transfer for finite-depth water waves are shown with the analytical solution around the singular point of the Boltzmann integral. The numerical computational procedure for the proposed method is described in detail. Some results of numerical examinations for finite water depth, assuming two different types of directional spectra, are shown with discussions on the validity of the proposed method.

AB - A new computational scheme for calculating the nonlinear energy transfer in finite-depth gravity wave spectra has been developed by extending the methods established by Masuda (1980) and Komatsu et al. (1993). In this paper, the formulations for the numerical computation of the nonlinear energy transfer for finite-depth water waves are shown with the analytical solution around the singular point of the Boltzmann integral. The numerical computational procedure for the proposed method is described in detail. Some results of numerical examinations for finite water depth, assuming two different types of directional spectra, are shown with discussions on the validity of the proposed method.

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JF - Coastal Engineering in Japan

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IS - 1

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