Internal wave focusing revisited; a reanalysis and new theoretical links

2008 ◽  
Vol 40 (2) ◽  
pp. 95-122 ◽  
Author(s):  
Frans-Peter A Lam ◽  
Leo R M Maas
Keyword(s):  
Internal Wave ◽  
Wave Focusing

scholarly journals Poster: Internal Wave Focusing Above a Three Dimensional Topography

2016 ◽  
Author(s):  
Vamsi K. Chalamalla ◽  
Matthew W. Hurley ◽  
Pierre-Yves Passaggia ◽  
Alberto Scotti
Keyword(s):  
Internal Wave ◽  
Three Dimensional ◽  
Wave Focusing

Experimental observation of strong mixing due to internal wave focusing over sloping terrain

2010 ◽  
Vol 112 ◽  
pp. 16-34
Author(s):  
Arno Swart ◽  
Astrid Manders ◽  
Uwe Harlander ◽  
Leo R.M. Maas
Keyword(s):  
Internal Wave ◽  
Experimental Observation ◽  
Strong Mixing ◽  
Wave Focusing ◽  
Sloping Terrain

Experimental observation of strong mixing due to internal wave focusing over sloping terrain

2010 ◽  
Vol 50 (1) ◽  
pp. 16-34 ◽  
Author(s):  
Arno Swart ◽  
Astrid Manders ◽  
Uwe Harlander ◽  
Leo R.M. Maas
Keyword(s):  
Internal Wave ◽  
Experimental Observation ◽  
Strong Mixing ◽  
Wave Focusing ◽  
Sloping Terrain

scholarly journals Internal wave focusing by a horizontally oscillating torus

2017 ◽  
Vol 813 ◽  
pp. 695-715 ◽  
Author(s):  
E. V. Ermanyuk ◽  
N. D. Shmakova ◽  
J.-B. Flór
Keyword(s):  
Internal Wave ◽  
Wave Amplitude ◽  
Laser Sheet ◽  
Oscillation Amplitude ◽  
Nonlinear Effects ◽  
Direct Access ◽  
Focal Region ◽  
Linear Wave ◽  
Wave Regime ◽  
Wave Focusing

This paper presents an experimental study on internal waves emitted by a horizontally oscillating torus in a linearly stratified fluid. Two internal wave cones are generated with the kinetic energy focused at the apices of the cones above and below the torus where the wave amplitude is maximal. Their motion is measured via tracking of distortions of horizontal fluorescein dye planes created prior to the experiments and illuminated by a vertical laser sheet. The distortion of the dye planes gives a direct access to the Lagrangian displacement of local wave amplitudes and slopes, and in particular, allows us to calculate a local Richardson number. In addition particle image velocimetry measurements are used. Maximum wave slopes are found in the focal region and close to the surface of the torus. As the amplitude of oscillations of the torus increases, wave profiles in the regions of maximum wave slopes evolve nonlinearly toward local overturning. A theoretical approximation based on the theory of Hurley & Keady (J. Fluid Mech., vol. 351, 1997, pp. 119–138) is presented and shows, for small amplitudes of oscillation, a very reasonable agreement with the experimental data. For the focal region the internal wave amplitude is found to be overestimated by the theory. The wave breaking in the focal region is investigated as a function of the Keulegan–Carpenter number, $Ke=A/a$, with $A$ the oscillation amplitude and $a$ the short radius of the torus. A linear wave regime is found for $Ke<0.4$, nonlinear effects start at $Ke\approx 0.6$ and breaking for $Ke>0.8$. For large forcing, the measured wave amplitude normalized with the oscillation amplitude decreases almost everywhere in the wave field, but increases locally in the focal region due to nonlinear effects. Due to geometric focusing the amplitude of the wave increases with $\sqrt{\unicode[STIX]{x1D716}}$, with $\unicode[STIX]{x1D716}=b/a$ and $b$ is the mean radius of the torus. The relevance of wave focusing due to ocean topography is discussed.

The Massachusetts Bay internal wave experiment, August 1998: data report

Data Series ◽  
10.3133/ds85 ◽  
2006 ◽  
Author(s):  
Bradford Butman ◽  
P. Soupy Alexander ◽  
Steven P. Anderson ◽  
Frances L. Lightsom ◽  
Alberto Scotti ◽  
...  
Keyword(s):  
Internal Wave ◽  
Massachusetts Bay ◽  
Wave Experiment

An analogy between electromagnetic and internal waves

2019 ◽  
Vol 485 (4) ◽  
pp. 428-433
Author(s):  
V. G. Baydulov ◽  
P. A. Lesovskiy
Keyword(s):  
Angular Momentum ◽  
Conservation Laws ◽  
Internal Wave ◽  
Special Relativity ◽  
Internal Waves ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Lagrange Function ◽  
Lorentz Transformations ◽  
Symmetry Transformations

For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.

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