Water Wave Scattering by a Bottom-Standing Thick Rectangular Barrier in the Presence of an Ice Cover

2020 ◽  
Vol 61 (3) ◽  
pp. 100-109
Author(s):  
S. Ray ◽  
S. De ◽  
B.N. Mandal
Keyword(s):  
Water Wave ◽  
Wave Scattering ◽  
Ice Cover ◽  
Water Wave Scattering ◽  
Rectangular Barrier

scholarly journals Water Wave Scattering by an Infinite Step in the Presence of an Ice-Cover

2019 ◽  
Vol 24 (4) ◽  
pp. 157-168
Author(s):  
S. Ray ◽  
S. De ◽  
B.N. Mandal
Keyword(s):  
Integral Equation ◽  
Free Surface ◽  
Water Wave ◽  
Wave Scattering ◽  
Fluid Velocity ◽  
Galerkin Approximation ◽  
Classical Problem ◽  
Finite Depth ◽  
Ice Cover ◽  
Water Wave Scattering

Abstract The classical problem of water wave scattering by an infinite step in deep water with a free surface is extended here with an ice-cover modelled as a thin uniform elastic plate. The step exists between regions of finite and infinite depths and waves are incident either from the infinite or from the finite depth water region. Each problem is reduced to an integral equation involving the horizontal component of velocity across the cut above the step. The integral equation is solved numerically using the Galerkin approximation in terms of simple polynomial multiplied by an appropriate weight function whose form is dictated by the behaviour of the fluid velocity near the edge of the step. The reflection and transmission coefficients are obtained approximately and their numerical estimates are seen to satisfy the energy identity. These are also depicted graphically against thenon-dimensional frequency parameter for various ice-cover parameters in a number of figures. In the absence of ice-cover, the results for the free surface are recovered.

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.

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