Radiation stresses in water waves; a physical discussion, with applications

  title={Radiation stresses in water waves; a physical discussion, with applications},
  author={Michael Selwyn Longuet-Higgins and Robert William Stewart},
  journal={Deep Sea Research and Oceanographic Abstracts},
Wave-Current Interaction: A Comparison of Radiation-Stress and Vortex-Force Representations
The eects of wind-generated surface gravity waves on more slowly evolving long waves, currents and material distributions in stratied coastal waters are investigated using the wave-averaged,
The Effects of Surface Gravity Waves on Coastal Currents: Implementation, Phenomenological Explanation, and Realistic Simulation with ROMS
Abstract : Wave-current interaction is incorporated into the Regional Ocean Modeling System (ROMS) on the basis of the multi-scale asymptotic theory derived by McWilliams et al. (2004) using a vortex
Numerical Simulation of Wave Run-up and Breaking on Beach
This book focuses on various unsteady gravity flows with a free surface in nature and engineering, i.e., water waves, and introduces the theories, methodologies, and case studies on numerical
The Reynolds wave shear stress in partially reflected waves
Effects of wave‐current interaction on rip currents
[1] The time evolution of rip currents in the nearshore is studied by numerical experiments. The generation of rip currents is due to waves propagating and breaking over alongshore variable


Radiation stress and mass transport in gravity waves, with application to ‘surf beats’
This paper studies the second-order currents and changes in mean surface level which are caused by gravity waves of non-uniform amplitude. The effects are interpreted in terms of the radiation
Changes in the form of short gravity waves on long waves and tidal currents
Short gravity waves, when superposed on much longer waves of the same type, have a tendency to become both shorter and steeper at the crests of the longer waves, and correspondingly longer and lower
On the attenuation of long gravity waves by short breaking waves
  • O. Phillips
  • Environmental Science
    Journal of Fluid Mechanics
  • 1963
It is shown that when short wind-generated gravity waves lose energy by breaking (or other dissipative processes) near the crests of longer waves, the loss is supplied partly by the longer wave
On the generation of surface waves by shear flows. Part 4
  • J. Miles
  • Physics
    Journal of Fluid Mechanics
  • 1962
The transfer of energy from wind to short surface waves through the viscous Reynolds stress in the immediate neighbourhood of the surface is explored. Resonance between the Tollmien-Schlichting waves
The equilibrium range in the spectrum of wind-generated waves
  • O. Phillips
  • Physics, Environmental Science
    Journal of Fluid Mechanics
  • 1958
Consideration of the structure of wind-generated waves when the duration and fetch of the wind are large suggests that the smaller-scale components of the wave field may be in a condition of
The generation of capillary waves by steep gravity waves
A theory is given for the non-linear transfer of energy from gravity waves on water to capillary waves. When a progressive gravity wave approaches its maximum steepness it develops a sharp crest, at
Interaction between gravity waves and a shear flow
A series of experiments has been undertaken in which three major properties of a surface tension-gravity wave system have been examined. The results of these experiments have been compared with
Mass, momentum and energy flux in water waves
This paper gives a direct derivation of some results obtained by Longuet-Higgins & Stewart (1960, 1961) on the amplitude variation of waves propagating on a non-uniform stream. The derivation raises
The changes in amplitude of short gravity waves on steady non-uniform currents
The common assumption that the energy of waves on a non-uniform current U is propagated with a velocity (U + c) where cg is the group-velocity, and that no further interaction takes place, is shown
The purposes of this paper are: (a) to give a summary of useful relationships derived by means of the solitary wave theory, and to plot these relations using dimensionless parameters for the purpose