Scattering of oblique surface water waves by thin vertical barrier over undulating bed topography

2017 ◽  
Vol 16 (2) ◽  
pp. 190-198
Author(s):  
A. Choudhary ◽  
S. C. Martha
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Bed Topography ◽  
Vertical Barrier ◽  
Surface Water Waves

scholarly journals On a singular integral equation with log kernel and its application

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Sudeshna Banerjea ◽  
Chiranjib Sarkar
Keyword(s):  
Integral Equation ◽  
Surface Water ◽  
Singular Integral Equation ◽  
Singular Integral ◽  
Unknown Function ◽  
Water Waves ◽  
Theoretic Method ◽  
Vertical Barrier ◽  
Time Harmonic ◽  
Surface Water Waves

We used function theoretic method to solve a singular integral equation with logarithmic kernel in two disjoint finite intervals where the unknown function satisfying the integral equation may be bounded or unbounded at the nonzero finite endpoints of the interval concerned. An appropriate solution of this integral equation is then applied to solve the problem of scattering of time harmonic surface water waves by a fully submerged thin vertical barrier with a single gap.

Surface water waves involving a vertical barrier in the presence of an ice-cover

2003 ◽  
Vol 41 (10) ◽  
pp. 1145-1162 ◽  
Author(s):  
A. Chakrabarti ◽  
D.S. Ahluwalia ◽  
S.R. Manam
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Ice Cover ◽  
Vertical Barrier ◽  
Surface Water Waves

scholarly journals Transmission of obliquely incident surface waves through a narrow gap

1989 ◽  
Vol 12 (4) ◽  
pp. 741-748
Author(s):  
B. N. Mandal ◽  
P. K. Kundu
Keyword(s):  
Integral Equation ◽  
Surface Water ◽  
Water Waves ◽  
Narrow Gap ◽  
Obliquely Incident ◽  
Vertical Barrier ◽  
Wave Numbers ◽  
Surface Water Waves ◽  
Linearized Theory ◽  
Transmission And Reflection

This note is concerned with the transmission of a train of surface water waves obliquely incident on a thin plane vertical barrier with a narrow gap. Within the framework of the linearized theory of water waves, the problem is reduced to the solution of an integral equation which is solved approximately. The transmission and reflection co–efficients are also obtained approximately and represented graphically against the different angles of incidence for fixed wave numbers.

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
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