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Waves Trapped by Submerged Obstacles at High Frequencies

A. M. Marín, R. D. Ortíz, P. Zhevandrov
2007 Journal of Applied Mathematics  
We construct asymptotics of these trapped modes and their frequencies ask→∞in the case of one or two submerged cylinders by means of reducing the initial problem to a system of integral equations on the  ...  As is well known, submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wavenumberkin the direction of the cylinders, there is only one trapped wave.  ...  We note that in contrast to [5] , the asymptotics turns out to be exponential, that is, the distance of the trapped wave frequency to the cut-off frequency is exponentially small in k.  ... 
doi:10.1155/2007/80205 fatcat:rh7qywaiq5aknkpxp4s372c4sa

Page 1075 of American Society of Civil Engineers. Collected Journals Vol. 126, Issue 10 [page]

2000 American Society of Civil Engineers. Collected Journals  
Wave resonance occurs in the trapped region and the force on the structure attains local maxima at resonant points. A similar study was done by Wang and Ren (1994) to develop a wave trapping system.  ...  Submerged structures have been in use as breakwaters for a long time. However, some breakwa- ters may collapse under high wave impact loading (Franco 1994).  ... 

Study of Bubble Size Distribution for Breaking Wave Propagates Over a Submerged Dike

Tsung-Mo Tien, Chien-Hsun Lee, Ching-Jer Huang
2007 PIERS Online  
Breaking wave plays an important role in air-sea, wave-wave, wave-current, currentcurrent interaction.  ...  Numbers of bubbles and size distribution in a specific wave condition is analyzed in laboratory experiments.  ...  At the end of the tank is fitted with a beach which was constructed by anechoic armor units, to minimize the wave reflections.  ... 
doi:10.2529/piers060906120020 fatcat:afbzyvh2h5bxbnar7i5betdvnm

Page 7100 of Mathematical Reviews Vol. , Issue 2003i [page]

2003 Mathematical Reviews  
stabilising” disturbances (in the limit as the duration of the disturbance tends to zero) and high frequency imposed sur- face pressures or underwater sources (in the limit as the frequency tends to infinity  ...  Summary: “The nonlinear long waves generated by a disturbance moving at subcritical, critical and supercritical speed in unbounded shallow water are investigated.  ... 

Page 7118 of Mathematical Reviews Vol. , Issue 99j [page]

1999 Mathematical Reviews  
99}: 76011 rection to the transmitted wave at any frequency for a submerged nearly vertical plate.  ...  (MEX-MIC-IP; Morelia) High-frequency asymptotics of edge waves on a beach of nonconstant slope. (English summary) SIAM J. Appl. Math. 59 (1999), no. 2, 529-546 (electronic).  ... 

Influence of a local change of depth on the behavior of bouncing oil drops [article]

Remi Carmigniani, Simon Lapointe, Sean Symon, Beverley J. McKeon
2013 arXiv   pre-print
The work of Couder et al (see also Bush et al) inspired consideration of the impact of a submerged obstacle, providing a local change of depth, on the behavior of oil drops in the bouncing regime.  ...  The new behaviors associated with a change in bath depth are explained in the context of pilot waves, as described for the uniform depth case by Bush et al [3, 4] .  ...  The influence of a local change in depth was studied by gluing a submerged obstacle, namely an aluminum strip with height l w = 7 mm, width e = 3.5 mm and length 120 mm, to the bottom of the tray along  ... 
arXiv:1310.2662v1 fatcat:fdmboeq7cjevxkhnavd4lou37a

Page 2934 of Mathematical Reviews Vol. , Issue 2003d [page]

2003 Mathematical Reviews  
Wide-spacing arguments applied to single submerged obstacles exhibiting zeros of transmission are used as the basis for seeking trapped waves.  ...  Results are given for a variety of symmetrical pairs of submerged obstacles.” 2003d:76025 76B15 86A05 Sajjadi, Shahrdad G. (1-UCSD-NL; La Jolla, CA) Vorticity generated by pure capillary waves.  ... 

Experimental study on water-wave trapped modes

2011 Journal of Fluid Mechanics  
linear wave theory.  ...  For each of the aspect ratios considered, the spatial structure of the trapped mode was obtained and compared to the theoretical predictions given by a multipole expansion method.  ...  The region near the obstacle is characterized by an asymmetric oscillation at the driving frequency, with large amplitudes.  ... 
doi:10.1017/s0022112010004222 fatcat:3aorcs2is5c53lgquknc4whz4q

Page 6220 of Mathematical Reviews Vol. , Issue 91K [page]

1991 Mathematical Reviews  
Results for particular geometries are presented and shown to agree with certain explicit solutions for edge waves over sloping beaches or trapped waves over a submerged narrow shelf, or a semicircular  ...  We define the characteristics of the unknown velocity potential at a large distance from the obstacle.  ... 

Interaction of Water Waves and a Submerged Parabolic Obstacle in the Presence of a Following Uniform/Shear Current Using RANS Model

Yen-Lung Chen, Jing-Bo Hung, Shih-Lun Hsu, Shih-Chun Hsiao, Yuan-Chieh Wu
2014 Mathematical Problems in Engineering  
Then, regular waves propagating over a submerged parabolic obstacle with a following current are investigated.  ...  This paper simulates regular waves propagating over a submerged parabolic obstacle in the presence of a uniform/shear current using a two-dimensional numerical model, named COBRAS (Cornell Breaking and  ...  The fluid velocity increases due to the area of flow being decreased by the submerged parabolic obstacle.  ... 
doi:10.1155/2014/896723 fatcat:gtmjszbt3vehtfvrzd6j446ssm

Effects of discontinuous submerged breakwater on water surface elevation

Mohammad J. Ketabdari, Mohammad Barzegar Paiin lamouki, Alireza Moghaddasi
2015 Ocean Systems Engineering  
Nevertheless, transferring water mass from breakwater gap results in powerful rip currents leading to high changes on longshore wave profile.  ...  Submerged breakwaters are used to prevent shore line erosion and sediment transportation. One of their advantages is low visual impact.  ...  To dissipate the wave energy in areas where the surface roller is not eliminated and also for removing high frequency waves at the shoreline which created during uprush and downrush, a low pass filter  ... 
doi:10.12989/ose.2015.5.4.319 fatcat:zyqa4o3m35gtdijqplmulxieyu

Page 545 of Mathematical Reviews Vol. , Issue 2001A [page]

2001 Mathematical Reviews  
The review ends with a description of asymptotic expansions of un- steady waves arising from brief and high-frequency disturbances. A complete list of Maz’ya’s publications on water waves is given.”  ...  The dependence of the waves on the obstacle size, as well as its dependence on some flow pa- rameters, are studied for three different shapes of the obstacle, namely ramp, are triangle and trapezoid.”  ... 

Assessment of Numerical Methods for Plunging Breaking Wave Predictions

Shanti Bhushan, Oumnia El El Fajri, Graham Hubbard, Bradley Chambers, Christopher Kees
2021 Journal of Marine Science and Engineering  
Plunging wave breaking involves high wave crest, plunger formation, and splash up, followed by second plunger, and chaotic water motions.  ...  For this purpose, 2D simulations are performed for four test cases: dam break, solitary wave run up on a slope, flow over a submerged bump, and solitary wave over a submerged rectangular obstacle.  ...  submerged obstacle-resulting in backward plunging breaking due to flow circulation induced by vortices shed from the obstacle.  ... 
doi:10.3390/jmse9030264 doaj:d5a8e726bee7475db49caee8f311942b fatcat:ousyhgz2q5envdyelmj7cptvim

The trapping and scattering of topographic waves by estuaries and headlands

Thomas F. Stocker, E. R. Johnson
1991 Journal of Fluid Mechanics  
If the frequency of an incident wave is sufficiently high, waves cannot propagate past a headland.  ...  Trapped modes with frequencies above the cutoff frequency of propagating waves are found near the mouth of the estuary.  ...  If waves propagate in the headland zone, little energy is reflected by the obstacle.  ... 
doi:10.1017/s0022112091001192 fatcat:qw7gotkegzfc5jjb6fzhsz47hm

Solitary and cnoidal wave scattering by a submerged horizontal plate in shallow water

Masoud Hayatdavoodi, R. Cengiz Ertekin, Benjamin D. Valentine
2017 AIP Advances  
Solitary and cnoidal wave scattering by a submerged horizontal plate in shallow water Hayatdavoodi, Masoud; Ertekin, R. Cengiz; Valentine, Benjamin D.  ...  Change of the water depth due to the slope on the seafloor or presence of a submerged obstacle can lead to generation of some modes of oscillation which occur at discrete frequencies.  ...  submerged obstacles.  ... 
doi:10.1063/1.4987024 fatcat:sfe4i2yedbhs7mvmmlqjpkl37m
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