Shallow water surface gravity wave imaging, spectra and their use in shallow water dredging operations

2014 ◽  
Author(s):  
Charles R. Bostater ◽  
Bingyu Yang
Keyword(s):  
Shallow Water ◽  
Gravity Wave ◽  
Water Surface ◽  
Surface Gravity ◽  
Surface Gravity Wave ◽  
Wave Imaging

Focusing deep-water surface gravity wave packets: wave breaking criterion in a simplified model

2019 ◽  
Vol 873 ◽  
pp. 238-259 ◽  
Author(s):  
Nick Pizzo ◽  
W. Kendall Melville
Keyword(s):  
Gravity Wave ◽  
Deep Water ◽  
Wave Breaking ◽  
Water Surface ◽  
Dynamic Properties ◽  
Wave Packets ◽  
Surface Gravity ◽  
Simplified Model ◽  
Surface Gravity Wave ◽  
Maximum Slope

Geometric, kinematic and dynamic properties of focusing deep-water surface gravity wave packets are examined in a simplified model with the intent of deriving a wave breaking threshold parameter. The model is based on the spatial modified nonlinear Schrödinger equation of Dysthe (Proc. R. Soc. Lond. A, vol. 369 (1736), 1979, pp. 105–114). The evolution of initially narrow-banded and weakly nonlinear chirped Gaussian wave packets are examined, by means of a trial function and a variational procedure, yielding analytic solutions describing the approximate evolution of the packet width, amplitude, asymmetry and phase during focusing. A model for the maximum free surface gradient, as a function of $\unicode[STIX]{x1D716}$ and $\unicode[STIX]{x1D6E5}$, for $\unicode[STIX]{x1D716}$ the linear prediction of the maximum slope at focusing and $\unicode[STIX]{x1D6E5}$ the non-dimensional packet bandwidth, is proposed and numerically examined, indicating a quasi-self-similarity of these focusing events. The equations of motion for the fully nonlinear potential flow equations are then integrated to further investigate these predictions. It is found that a model of this form can characterize the bulk partitioning of $\unicode[STIX]{x1D716}-\unicode[STIX]{x1D6E5}$ phase space, between non-breaking and breaking waves, serving as a breaking criterion. Application of this result to better understanding air–sea interaction processes is discussed.

scholarly journals Potential flow simulations of Peregrine-type deep water surface gravity wave packets

PAMM ◽  
2015 ◽  
Vol 15 (1) ◽  
pp. 537-538
Author(s):  
Arne Wenzel ◽  
Dennis Bünte ◽  
Norbert P. Hoffmann
Keyword(s):  
Gravity Wave ◽  
Deep Water ◽  
Potential Flow ◽  
Water Surface ◽  
Wave Packets ◽  
Surface Gravity ◽  
Surface Gravity Wave ◽  
Flow Simulations

Non-stationary regimes of surface gravity wave turbulence

JETP Letters ◽  
2013 ◽  
Vol 97 (8) ◽  
pp. 459-465 ◽  
Author(s):  
R. Bedard ◽  
S. Lukaschuk ◽  
S. Nazarenko
Keyword(s):  
Gravity Wave ◽  
Surface Gravity ◽  
Wave Turbulence ◽  
Surface Gravity Wave
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