Oblique water wave scattering by vertical elastic porous barriers

2021 ◽  
Vol 169 ◽  
pp. 103578
Author(s):  
R. Ashok ◽  
S.R. Manam
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Water Wave Scattering ◽  
Porous Barriers

scholarly journals Accurate Solutions to Water Wave Scattering by Vertical Thin Porous Barriers

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Ai-jun Li ◽  
Yong Liu ◽  
Hua-jun Li
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Numerical Solutions ◽  
Fluid Velocity ◽  
Wave Interaction ◽  
Wave Forces ◽  
Pressure Jump ◽  
Water Wave Scattering ◽  
Porous Barrier ◽  
Porous Barriers

The water wave scattering by vertical thin porous barriers is accurately solved in this study. Two typical structures of a surface-piercing barrier and a submerged bottom-standing barrier are considered. The solution procedure is based on the multi-term Galerkin method, in which the pressure jump across a porous barrier is expanded in a set of basis functions involving the Chebychev polynomials. Then, the square-root singularity of fluid velocity at the edge of the porous barrier is correctly modeled. The present solutions have the merits of very rapid convergence. Accurate results for both the reflection and the transmission coefficients and wave forces are presented. This study not only gives a promising procedure to tackle wave interaction with vertical thin porous barriers but also provides a reliable benchmark for complicated numerical solutions.

Analysis of water wave scattering by a submerged perforated reef ball using multipole method

Meccanica ◽  
2019 ◽  
Vol 54 (11-12) ◽  
pp. 1747-1765
Author(s):  
Ai-jun Li ◽  
Xiao-lei Sun ◽  
Yong Liu ◽  
Hua-jun Li
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Water Wave Scattering ◽  
Multipole Method

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.

Step approximation of water wave scattering caused by tension-leg structures over uneven bottoms

2018 ◽  
Vol 166 ◽  
pp. 208-225 ◽  
Author(s):  
Chia-Cheng Tsai ◽  
Wei Tai ◽  
Tai-Wen Hsu ◽  
Shih-Chun Hsiao
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Water Wave Scattering ◽  
Step Approximation

WATER WAVE SCATTERING BY A VERTICAL POROUS BARRIER WITH TWO GAPS

2019 ◽  
Vol 61 (1) ◽  
pp. 47-63 ◽  
Author(s):  
M. SIVANESAN ◽  
S. R. MANAM
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Original Problem ◽  
Analytical Procedure ◽  
Explicit Solutions ◽  
Scattering Problems ◽  
Geometrical Structures ◽  
Water Wave Scattering ◽  
Weakly Singular ◽  
Porous Barrier

Explicit solutions are rarely available for water wave scattering problems. An analytical procedure is presented here to solve the boundary value problem associated with wave scattering by a complete vertical porous barrier with two gaps in it. The original problem is decomposed into four problems involving vertical solid barriers. The decomposed problems are solved analytically by using a weakly singular integral equation. Explicit expressions are obtained for the scattering amplitudes and numerical results are presented. The results obtained can be used as a benchmark for other wave scattering problems involving complex geometrical structures.

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