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 -