Linking reduced breaking crest speeds to unsteady nonlinear water wave group behavior
arXiv:1305.3980 · doi:10.1103/PhysRevLett.112.114502
Abstract
Observations show that maximally-steep breaking water wave crest speeds are much slower than expected. We report a wave-crest slowdown mechanism generic to unsteady propagating deep water wave groups. Our fully nonlinear computations show that just prior to reaching its maximum height, each wave crest slows down significantly and either breaks at this reduced speed, or accelerates forward unbroken. This finding is validated in our extensive laboratory and field observations. This behavior appears to be generic to unsteady dispersive wave groups in other natural systems.
12 double spaced pages including 3 figures
Cited by in corpus (15)
- High-resolution direct simulation of deep water breaking waves: transition to turbulence, bubbles and droplet production
- On certain properties of the compact Zakharov equation
- Geometric phases of water waves
- Kinematics of fluid particles on the sea surface. Hamiltonian theory
- Symmetry reduction of turbulent pipe flows
- The influence of spectral bandwidth and shape on deep-water wave breaking onset
- Hopf fibrations for turbulent pipe flows
- An energetic signature for breaking inception in surface gravity waves
- Crest speeds of unsteady surface water waves
- Berry Phases in the Reconstructed KdV Equation
- On the local properties of highly nonlinear unsteady gravity water waves. Part 1. Slowdown, kinematics and energetics
- The energetic inception of breaking in surface gravity waves under wind forcing
- Wave breaking onset of two-dimensional wave groups in uniform intermediate depth water
- On the Upper Ocean Turbulent Dissipation Rate due to Very Short Breaking Wind-Waves
- On the energetics of breaking inception and onset in surface gravity waves