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 language | English |
|---|---|
| Pages (from-to) | 67-80 |
| Number of pages | 14 |
| Journal | Journal of Hydraulic Research |
| Volume | 45 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2007 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Water Science and Technology
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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 journal › Article
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 -