Evolution of sidebands in deep-water bichromatic wave trains

Wen Son Chiang, Shih-Chun Hsiao, Hwung Hweng Hwung

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Numerical and physical experiments on bichromatic wave trains were conducted in deep water. The evolution of wave trains and corresponding spectra were investigated in this paper. The results indicate that the evolution of bichromatic wave trains strongly depends on the wave steepness and frequency difference between the imposed wave components. The evolutions of wave trains including breaking and non-breaking types were analyzed for different combination of wave steepness and frequency difference. Specifically, for non-breaking cases, the wave trains evolve modulation and demodulation periodically in the experimental data. This phenomenon can be better predicted by the nonlinear Schrödinger (NLS) equation. However, for the free surface displacement, the multi-layer Boussinesq model gives better phase agreement with experimental data. For breaking case, the amplitude of lower sideband frequency is selectively amplified through the breaking process, which can be qualitatively simulated in the NLS model by adding an additional proper damping function. The experimental data also show weak evolution of induced bound long wave during the breaking process.

Original languageEnglish
Pages (from-to)67-80
Number of pages14
JournalJournal of Hydraulic Research
Volume45
Issue number1
DOIs
Publication statusPublished - 2007 Jan 1

Fingerprint

water wave
Water waves
train
deep water
Demodulation
Nonlinear equations
damping
Damping
Modulation

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

Chiang, Wen Son ; Hsiao, Shih-Chun ; Hwung, Hwung Hweng. / Evolution of sidebands in deep-water bichromatic wave trains. In: Journal of Hydraulic Research. 2007 ; Vol. 45, No. 1. pp. 67-80.
@article{ba22df6a9d714ed8b385481522412b4c,
title = "Evolution of sidebands in deep-water bichromatic wave trains",
abstract = "Numerical and physical experiments on bichromatic wave trains were conducted in deep water. The evolution of wave trains and corresponding spectra were investigated in this paper. The results indicate that the evolution of bichromatic wave trains strongly depends on the wave steepness and frequency difference between the imposed wave components. The evolutions of wave trains including breaking and non-breaking types were analyzed for different combination of wave steepness and frequency difference. Specifically, for non-breaking cases, the wave trains evolve modulation and demodulation periodically in the experimental data. This phenomenon can be better predicted by the nonlinear Schr{\"o}dinger (NLS) equation. However, for the free surface displacement, the multi-layer Boussinesq model gives better phase agreement with experimental data. For breaking case, the amplitude of lower sideband frequency is selectively amplified through the breaking process, which can be qualitatively simulated in the NLS model by adding an additional proper damping function. The experimental data also show weak evolution of induced bound long wave during the breaking process.",
author = "Chiang, {Wen Son} and Shih-Chun Hsiao and Hwung, {Hwung Hweng}",
year = "2007",
month = "1",
day = "1",
doi = "10.1080/00221686.2007.9521745",
language = "English",
volume = "45",
pages = "67--80",
journal = "Journal of Hydraulic Research/De Recherches Hydrauliques",
issn = "0022-1686",
publisher = "International Association of Hydraulic Engineering Research",
number = "1",

}

Evolution of sidebands in deep-water bichromatic wave trains. / Chiang, Wen Son; Hsiao, Shih-Chun; Hwung, Hwung Hweng.

In: Journal of Hydraulic Research, Vol. 45, No. 1, 01.01.2007, p. 67-80.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Evolution of sidebands in deep-water bichromatic wave trains

AU - Chiang, Wen Son

AU - Hsiao, Shih-Chun

AU - Hwung, Hwung Hweng

PY - 2007/1/1

Y1 - 2007/1/1

N2 - Numerical and physical experiments on bichromatic wave trains were conducted in deep water. The evolution of wave trains and corresponding spectra were investigated in this paper. The results indicate that the evolution of bichromatic wave trains strongly depends on the wave steepness and frequency difference between the imposed wave components. The evolutions of wave trains including breaking and non-breaking types were analyzed for different combination of wave steepness and frequency difference. Specifically, for non-breaking cases, the wave trains evolve modulation and demodulation periodically in the experimental data. This phenomenon can be better predicted by the nonlinear Schrödinger (NLS) equation. However, for the free surface displacement, the multi-layer Boussinesq model gives better phase agreement with experimental data. For breaking case, the amplitude of lower sideband frequency is selectively amplified through the breaking process, which can be qualitatively simulated in the NLS model by adding an additional proper damping function. The experimental data also show weak evolution of induced bound long wave during the breaking process.

AB - Numerical and physical experiments on bichromatic wave trains were conducted in deep water. The evolution of wave trains and corresponding spectra were investigated in this paper. The results indicate that the evolution of bichromatic wave trains strongly depends on the wave steepness and frequency difference between the imposed wave components. The evolutions of wave trains including breaking and non-breaking types were analyzed for different combination of wave steepness and frequency difference. Specifically, for non-breaking cases, the wave trains evolve modulation and demodulation periodically in the experimental data. This phenomenon can be better predicted by the nonlinear Schrödinger (NLS) equation. However, for the free surface displacement, the multi-layer Boussinesq model gives better phase agreement with experimental data. For breaking case, the amplitude of lower sideband frequency is selectively amplified through the breaking process, which can be qualitatively simulated in the NLS model by adding an additional proper damping function. The experimental data also show weak evolution of induced bound long wave during the breaking process.

UR - http://www.scopus.com/inward/record.url?scp=33847247354&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847247354&partnerID=8YFLogxK

U2 - 10.1080/00221686.2007.9521745

DO - 10.1080/00221686.2007.9521745

M3 - Article

AN - SCOPUS:33847247354

VL - 45

SP - 67

EP - 80

JO - Journal of Hydraulic Research/De Recherches Hydrauliques

JF - Journal of Hydraulic Research/De Recherches Hydrauliques

SN - 0022-1686

IS - 1

ER -