scholarly journals A plane vertical submerged barrier in surface water waves

1987 ◽  
Vol 10 (4) ◽  
pp. 815-820 ◽  
Author(s):  
U. Basu ◽  
B. N. Mandal
Keyword(s):  
Surface Water ◽  
Deep Water ◽  
Water Waves ◽  
Line Source ◽  
Vertical Plane ◽  
Simple Application ◽  
Integral Theorem ◽  
Surface Water Waves ◽  
Plane Barrier ◽  
Green’S Integral Theorem

By a simple application of Green's integral theorem, amplitude of the radiated waves at infinity due to a line source in the presence of a fixed vertical plane barrier completely submerged in deep water is obtained.

scholarly journals On waves due to small oscillations of a vertical plate submerged in deep water

1991 ◽  
Vol 32 (3) ◽  
pp. 296-303 ◽  
Author(s):  
B. N. Mandal
Keyword(s):  
Surface Water ◽  
Deep Water ◽  
Water Waves ◽  
Line Source ◽  
Vertical Plate ◽  
Integral Theorem ◽  
Small Oscillations ◽  
Surface Water Waves ◽  
Green’S Integral Theorem

AbstractThis paper is concerned with surface water waves produced by small oscillations of a thin vertical plate submerged in deep water. Green's integral theorem in the fluid region is used in a suitable manner to obtain the amplitude for the radiated waves at infinity. Particular results for roll and sway of the plate, and for a line source in the presence of a fixed vertical plate, are deduced.

scholarly journals Waves on a vortex: rays, rings and resonances

2018 ◽  
Vol 857 ◽  
pp. 291-311 ◽  
Author(s):  
Theo Torres ◽  
Antonin Coutant ◽  
Sam Dolan ◽  
Silke Weinfurtner
Keyword(s):  
Experimental Data ◽  
Black Hole ◽  
Surface Water ◽  
Ray Tracing ◽  
Deep Water ◽  
Water Waves ◽  
Water Regime ◽  
Recent Experimental Data ◽  
Small Depth ◽  
Surface Water Waves

We study the scattering of surface water waves with irrotational draining vortices. At small depth, this system is a mathematical analogue of a rotating black hole and can be used to mimic some of its peculiar phenomena. Using ray-tracing methods, we exhibit the existence of unstable orbits around vortices at arbitrary depth. These orbits are the analogue of the light rings of a black hole. We show that these orbits come in pairs, one co-rotating and one counter-rotating, at an orbital radius that varies with the frequency. We derived an explicit formula for this radius in the deep-water regime. Our method is validated by comparison with recent experimental data from a wavetank experiment. We finally argue that these rings will generate a discrete set of damped resonances that we characterize and that could possibly be observed in future experiments.

scholarly journals Multiple stopbands and wavefield asymmetry of surface water waves in non-Bragg structures

AIP Advances ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 015215
Author(s):  
Joshua-Masinde Kundu ◽  
Ting Liu ◽  
Jia Tao ◽  
Jia-Yi Zhang ◽  
Ya-Xian Fan ◽  
...  
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Bragg Structures ◽  
Surface Water Waves

Defect modes in non-Bragg resonant structures for guided surface water waves

Wave Motion ◽  
2021 ◽  
pp. 102766
Author(s):  
Joshua-Masinde Kundu ◽  
Ting Liu ◽  
Jia Tao ◽  
Bo-Yang Ma ◽  
Jia-Yi Zhang ◽  
...  
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Defect Modes ◽  
Resonant Structures ◽  
Surface Water Waves

The Stochastic Parametric Mechanism for Growth of Wind-Driven Surface Water Waves

2008 ◽  
Vol 38 (4) ◽  
pp. 862-879 ◽  
Author(s):  
Brian F. Farrell ◽  
Petros J. Ioannou
Keyword(s):  
Surface Water ◽  
Growth Rates ◽  
Atmospheric Pressure ◽  
Water Waves ◽  
Wave Amplitude ◽  
Pressure Fluctuations ◽  
Theoretical Understanding ◽  
Wave Growth ◽  
Atmospheric Pressure Fluctuations ◽  
Surface Water Waves

Abstract Theoretical understanding of the growth of wind-driven surface water waves has been based on two distinct mechanisms: growth due to random atmospheric pressure fluctuations unrelated to wave amplitude and growth due to wave coherent atmospheric pressure fluctuations proportional to wave amplitude. Wave-independent random pressure forcing produces wave growth linear in time, while coherent forcing proportional to wave amplitude produces exponential growth. While observed wave development can be parameterized to fit these functional forms and despite broad agreement on the underlying physical process of momentum transfer from the atmospheric boundary layer shear flow to the water waves by atmospheric pressure fluctuations, quantitative agreement between theory and field observations of wave growth has proved elusive. Notably, wave growth rates are observed to exceed laminar instability predictions under gusty conditions. In this work, a mechanism is described that produces the observed enhancement of growth rates in gusty conditions while reducing to laminar instability growth rates as gustiness vanishes. This stochastic parametric instability mechanism is an example of the universal process of destabilization of nearly all time-dependent flows.

scholarly journals Surface water waves as saddle points of the energy

2003 ◽  
Vol 17 (2) ◽  
pp. 199-220 ◽  
Author(s):  
B. Buffoni ◽  
�. S�r� ◽  
J.F. Toland
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Saddle Points ◽  
Surface Water Waves

Numerical study of surface water waves generated by mass movement

2013 ◽  
Vol 45 (5) ◽  
pp. 055506 ◽  
Author(s):  
Belgacem Ghozlani ◽  
Zouhaier Hafsia ◽  
Khlifa Maalel
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Numerical Study ◽  
Mass Movement ◽  
Surface Water Waves
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