scispace - formally typeset
Journal ArticleDOI

Oblique diffraction of surface waves by a submerged vertical plate

B. N. Mandal, +1 more
- 01 Jul 1996 - 
- Vol. 30, Iss: 4, pp 459-470
TLDR
In this paper, a train of small-amplitude surface waves is obliquely incident on a fixed, thin, vertical plate submerged in deep water, and an appropriate one-term Galerkin approximation is employed to calculate very accurate upper and lower bounds for the reflection and transmission coefficients for any angle of incidence and any wave number.
Abstract
A train of small-amplitude surface waves is obliquely incident on a fixed, thin, vertical plate submerged in deep water. The plate is infinitely long in the horizontal direction. An appropriate one-term Galerkin approximation is employed to calculate very accurate upper and lower bounds for the reflection and transmission coefficients for any angle of incidence and any wave number thereby producing very accurate numerical results.

read more

Citations
More filters
Journal ArticleDOI

Water-wave scattering by thick vertical barriers

TL;DR: In this paper, the reflection coefficient of a normally incident surface wave train on an obstacle in the form of a thick vertical barrier of rectangular cross section in water of uniform finite depth is considered.
Journal ArticleDOI

Oblique wave scattering by submerged thin wall with gap in finite-depth water

TL;DR: In this article, the problem of oblique wave scattering by a submerged thin vertical wall with a gap in finite-depth water and its modification when another identical wall is introduced, is investigated.
Journal ArticleDOI

Wave radiation by a floating rectangular structure in oblique seas

TL;DR: In this article, the linear wave radiation by a long floating rectangular structure in oblique seas of finite depth is investigated by use of the method of separation of variables and the eigenfunction expansion matching method.
Journal ArticleDOI

A boundary integral equation method for oblique water-wave scattering by cylinders governed by the modified Helmholtz equation

TL;DR: In this paper, the boundary value problem is formulated as a Fredholm integral equation of the second kind posed on the body boundary and solved via the Boundary Integral Equation method by using an appropriate Green function and Green's second identity.
References
More filters
Journal ArticleDOI

The effect of a fixed vertical barrier on surface waves in deep water

F. Ursell, +1 more
TL;DR: In this paper, it was shown that when the normal velocity is prescribed at each point of an infinite vertical plane extending from the surface, the motion on each side of the plane is completely determined.
Journal ArticleDOI

On the reflexion of surface waves by a submerged plane barrier

W. R. Dean
TL;DR: In this paper, the reflexion of waves on the surface of water by a thin plane vertical barrier is considered and the coefficient of reflexion (the ratio of the amplitudes, at a great distance from the barrier, of the reflected and incident waves) is calculated.
Journal ArticleDOI

Diffraction of water waves by a submerged vertical plate

TL;DR: In this article, a thin vertical plate makes small, simple harmonic rolling oscillations beneath the surface of an incompressible, irrotational liquid, and a train of plane waves of frequency equal to the frequency of oscillation of the plate, is normally incident on the plate.