Water wave scattering by three thin vertical barriers with middle one partially immersed and outer two submerged

Meccanica ◽  
2018 ◽  
Vol 54 (1-2) ◽  
pp. 71-84 ◽  
Author(s):  
Ranita Roy ◽  
B. N. Mandal
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Water Wave Scattering ◽  
Vertical Barriers

scholarly journals Water wave scattering by two submerged nearly vertical barriers

2006 ◽  
Vol 48 (1) ◽  
pp. 107-117 ◽  
Author(s):  
B. N. Mandal ◽  
Soumen De
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Shape Function ◽  
Integral Theorem ◽  
Water Wave Scattering ◽  
First Order ◽  
Transmission Coefficients ◽  
Definite Integrals ◽  
Vertical Barriers ◽  
Two Barriers

AbstractThe problem of surface water wave scattering by two thin nearly vertical barriers submerged in deep water from the same depth below the mean free surface and extending infinitely downwards is investigated here assuming linear theory, where configurations of the two barriers are described by the same shape function. By employing a simplified perturbational analysis together with appropriate applications of Green's integral theorem, first-order corrections to the reflection and transmission coefficients are obtained. As in the case of a single nearly vertical barrier, the first-order correction to the transmission coefficient is found to vanish identically, while the correction for the reflection coefficient is obtained in terms of a number of definite integrals involving the shape function describing the two barriers. The result for a single barrier is recovered when two barriers are merged into a single barrier.

Water wave scattering by two partially immersed nearly vertical barriers

Wave Motion ◽  
2005 ◽  
Vol 43 (2) ◽  
pp. 167-175 ◽  
Author(s):  
Soumen De ◽  
Rupanwita Gayen ◽  
B.N. Mandal
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Water Wave Scattering ◽  
Vertical Barriers

Water wave scattering by multiple thin vertical barriers

2019 ◽  
Vol 355 ◽  
pp. 458-481 ◽  
Author(s):  
R. Roy ◽  
Soumen De ◽  
B.N. Mandal
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Water Wave Scattering ◽  
Vertical Barriers

scholarly journals A unified approach to problems of scattering of surface water waves by vertical barriers

1997 ◽  
Vol 39 (1) ◽  
pp. 93-103 ◽  
Author(s):  
A. Chakrabarti ◽  
Sudeshna Banerjea ◽  
B. N. Mandal ◽  
T. Sahoo
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Water Wave ◽  
Wave Scattering ◽  
Multiple Integral ◽  
Cauchy Type ◽  
Unified Approach ◽  
Water Wave Scattering ◽  
Vertical Barriers ◽  
Surface Water Waves

AbstractA unified analysis involving the solution of multiple integral equations via a simple singular integral equation with a Cauchy type kernel is presented to handle problems of surface water wave scattering by vertical barriers. Some well known results are produced in a simple and systematic manner.

Sign in / Sign up

Export Citation Format

Share Document