Details
| Original language | English |
|---|---|
| Article number | 04022012 |
| Journal | Journal of Waterway, Port, Coastal, and Ocean Engineering |
| Volume | 148 |
| Issue number | 5 |
| Publication status | Published - 19 May 2022 |
Abstract
This work presents a theoretical discussion and experimental results about the directional bound waves generated by second-order nonlinear interaction between two noncollinear wave trains. Research focus is set on presence, characteristics, and effects of the angle difference between the primary wave trains on the generation of super- and subharmonic bound wave components as well as propagation direction, orbital velocity, and the resulting radiation stress field. An analytical model is derived, and computations thereof conducted for different conditions of wave height, period, and depth. Laboratory tests, systematically conducted in a wave basin, confirm computational results from analytical formulation and indicate that (i) the magnitude of all second-order properties (setup and setdown of the mean water level, orbital velocities) are strongly dependent on the individual combination of periods and directions of the primary wave trains, (ii) the direction of the bound wave differs from those of the primary waves, and (iii) the radiation stress components show a spatial and temporal oscillatory pattern outside the surf zone.
Keywords
- Bichromatic waves, Bidirectional seas, Bound waves, Directional infragravity waves, Radiation stress, Stokes second-order theory, Wave-wave interaction
ASJC Scopus subject areas
- Environmental Science(all)
- Water Science and Technology
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Civil and Structural Engineering
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In: Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 148, No. 5, 04022012, 19.05.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Directional Infragravity Waves Induced by Bichromatic and Bidirectional Waves
T2 - Theoretical Approach and Experimental Affirmation
AU - Silva, Mario Grüne de Souza e
AU - Kerpen, Nils B.
AU - Rosman, Paulo Cesar C.
AU - Neves, Claudio F.
AU - Schlurmann, Torsten
N1 - Funding Information: This study was conducted while the first author was a Graduate Researcher at UFRJ and was financed in part by the Coordena-ção de Aperfeiçoamento de Pessoal de Nível Superior – Brasil (CAPES) – Finance Code 001. The authors are thankful to the Ludwig-Franzius-Institut of the Leibniz University Hannover for making the wave basin available for this research, for providing instruments, materials, and personnel for the physical experiments, and for giving access to the wave analysis software during the stay of the first author at that institute with a UFRJ/PDSE/ CAPES scholarship. This research has also benefitted from the support of Deutsche Forschungsgemeinschaft (DFG) for funding in the Collaborative Research Center 1463 “Integrated Design and Operation Methodology for Offshore Megastructures” (SFB1463). The authors also acknowledge the support of the Ocean Engineering Program of the Federal University of Rio de Janeiro.
PY - 2022/5/19
Y1 - 2022/5/19
N2 - This work presents a theoretical discussion and experimental results about the directional bound waves generated by second-order nonlinear interaction between two noncollinear wave trains. Research focus is set on presence, characteristics, and effects of the angle difference between the primary wave trains on the generation of super- and subharmonic bound wave components as well as propagation direction, orbital velocity, and the resulting radiation stress field. An analytical model is derived, and computations thereof conducted for different conditions of wave height, period, and depth. Laboratory tests, systematically conducted in a wave basin, confirm computational results from analytical formulation and indicate that (i) the magnitude of all second-order properties (setup and setdown of the mean water level, orbital velocities) are strongly dependent on the individual combination of periods and directions of the primary wave trains, (ii) the direction of the bound wave differs from those of the primary waves, and (iii) the radiation stress components show a spatial and temporal oscillatory pattern outside the surf zone.
AB - This work presents a theoretical discussion and experimental results about the directional bound waves generated by second-order nonlinear interaction between two noncollinear wave trains. Research focus is set on presence, characteristics, and effects of the angle difference between the primary wave trains on the generation of super- and subharmonic bound wave components as well as propagation direction, orbital velocity, and the resulting radiation stress field. An analytical model is derived, and computations thereof conducted for different conditions of wave height, period, and depth. Laboratory tests, systematically conducted in a wave basin, confirm computational results from analytical formulation and indicate that (i) the magnitude of all second-order properties (setup and setdown of the mean water level, orbital velocities) are strongly dependent on the individual combination of periods and directions of the primary wave trains, (ii) the direction of the bound wave differs from those of the primary waves, and (iii) the radiation stress components show a spatial and temporal oscillatory pattern outside the surf zone.
KW - Bichromatic waves
KW - Bidirectional seas
KW - Bound waves
KW - Directional infragravity waves
KW - Radiation stress
KW - Stokes second-order theory
KW - Wave-wave interaction
UR - http://www.scopus.com/inward/record.url?scp=85130922759&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)WW.1943-5460.0000711
DO - 10.1061/(ASCE)WW.1943-5460.0000711
M3 - Article
VL - 148
JO - Journal of Waterway, Port, Coastal, and Ocean Engineering
JF - Journal of Waterway, Port, Coastal, and Ocean Engineering
SN - 1943-5460
IS - 5
M1 - 04022012
ER -