Journal ArticleDOI
Interaction of water waves with two closely spaced vertical obstacles
TLDR
In this article, an asymptotic theory for the resulting wave reflexion and transmission is developed, assuming that the separation between the plates is small, and it is shown that the reflexion coefficients undergo rapid changes, ranging from complete reflexion to complete transmission, in the vicinity of a critical wavenumber where the fluid column between the obstacles is resonant.Abstract:
Two-dimensional waves are incident upon a pair of vertical flat plates intersecting the free surface in a fluid of infinite depth. An asymptotic theory is developed for the resulting wave reflexion and transmission, assuming that the separation between the plates is small. The fluid motion between the plates is a uniform vertical oscillation, matched to the outer wave field by a local flow at the opening beneath the plates. It is shown that the reflexion and transmission coefficients undergo rapid changes, ranging from complete reflexion to complete transmission, in the vicinity of a critical wavenumber where the fluid column between the obstacles is resonant.read more
Citations
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Journal ArticleDOI
Complementary approximations to wave scattering by vertical barriers
Richard Porter,D. V. Evans +1 more
TL;DR: In this paper, a Galerkin approximation method was proposed to solve the wave scattering problem in finite-depth water with respect to vertical barriers in a rectangular tank and a vertical barrier in a vertical pool.
Journal ArticleDOI
Power From Water Waves
TL;DR: A review of wave energy devices and hydrodynamic properties of idealized equipment for extracting power from waves is presented in this paper, where the governing equations involve fluid hydrodynamics applied to machines with zero forward speed which can absorb energy from the neighboring wave field.
Journal ArticleDOI
Surface wave interactions with systems of oscillating bodies and pressure distributions
Johannes Falnes,P. McIver +1 more
TL;DR: In this paper, the radiation coupling between all oscillators is represented by a partitioned matrix composed of the radiation admittance matrix for the pressure distributions, the radiation impedance matrix for oscillating bodies, and a radiation coupling matrix between the bodies and the pressure distribution.
Journal ArticleDOI
Oblique Wave Diffraction by Parallel Thin Vertical Barriers with Gaps
TL;DR: In this article, the problem of oblique water wave diffraction by two equal thin, parallel, fixed vertical barriers with gaps present in uniform finite-depth water is investigated, and three types of barrier configurations are considered.
Journal ArticleDOI
Complex resonances in the water-wave problem for a floating structure
TL;DR: In this paper, it was shown that the position of these poles in the scattering and radiation potentials will not coincide with the positions of the poles that appear in the velocity potential for the coupled problem obtained when the structure is free to move.
References
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Journal ArticleDOI
On the Radiation of Sound from an Unflanged Circular Pipe
TL;DR: In this article, a rigorous and explicit solution for the problem of sound radiation from an unflanged circular pipe, assuming axially symmetric excitation, was obtained for the wave-length range of dominant mode (plane wave) propagation in the pipe.
Journal ArticleDOI
The effect of a fixed vertical barrier on surface waves in deep water
F. Ursell,W. R. Dean +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
Complementary Approximations to the Solution of a Problem in Water Waves
D. V. Evans,C. A. N. Morris +1 more
Journal ArticleDOI
Transmission of water waves through small apertures
TL;DR: In this article, a method of solution for flows through small apertures in otherwise impermeable barriers was proposed for water-wave flows through a small barrier, which is an application of the method of matched asymptotic expansions.