Diffraction–radiation of multiple floating structures in directional waves
TL;DR: In this article, the hydrodynamic behavior of multiple floating structures under a multi-directional wave field was studied using the finite element method and the effect of mean wave direction and directional homogeneity on the hydrogrodynamic behaviour of the structure was studied.
Abstract: The dynamics of multiple floating structures have been studied using the finite element method. The emphasis is on the hydrodynamic behaviour of multiple bodies under a multi-directional wave field. A two-dimensional numerical model has been adopted to evaluate hydrodynamic coefficients and forces in an oblique wave field. The responses in sway, heave and roll modes are reported. The linear filter technique is then used to extrapolate the responses under directional waves. The effect of mean wave direction and directional homogeneity on the hydrodynamic behaviour of the structure is studied. Based on the present study, it is found that the two-dimensional model is applicable to investigate the wave-structure interaction problems of the type herein considered.
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21 Aug 2006TL;DR: The mathematical theory and technology needed to understand the multiple scattering phenomenon is known as multiple scattering, and this book is the first devoted to the subject as mentioned in this paper, and the author covers a variety of techniques, describing first the single-obstacle methods and then extending them to the multiple-obsstacle case.
Abstract: The interaction of waves with obstacles is an everyday phenomenon in science and engineering, arising for example in acoustics, electromagnetism, seismology and hydrodynamics. The mathematical theory and technology needed to understand the phenomenon is known as multiple scattering, and this book is the first devoted to the subject. The author covers a variety of techniques, describing first the single-obstacle methods and then extending them to the multiple-obstacle case. A key ingredient in many of these extensions is an appropriate addition theorem: a coherent, thorough exposition of these theorems is given, and computational and numerical issues around them are explored. The application of these methods to different types of problems is also explained; in particular, sound waves, electromagnetic radiation, waves in solids and water waves. A comprehensive bibliography of some 1400 items rounds off the book, which will be an essential reference on the topic for applied mathematicians, physicists and engineers.
355 citations
TL;DR: Martin this paper reviewed multiple scattering, Interaction of Time-Harmonic Waves with N Obstacles by P. A. Martin. 450 pp. Price: $140.00 (hardcover). ISBN: 0-521-86554-9
Abstract: This article reviews Multiple Scattering, Interaction of Time-Harmonic Waves with N Obstacles by P. A. Martin , 2006. 450 pp. Price: $140.00 (hardcover). ISBN: 0-521-86554-9
238 citations
TL;DR: In this article, the interaction of linear water waves with a moored floating breakwater with a leeward boundary composed from a vertical wall is studied, and the effects of the variation of structural parameters of the breakwater on the transmitted wave height are discussed in details for various values of partial reflection.
Abstract: This paper studies the interaction of linear water waves with a moored floating breakwater with a leeward boundary composed from a vertical wall. This describes a real modelling for the case of ports in contrary to the problems of unbounded domains. It involves the application of a partial reflection boundary condition for this sidewall. In fact, the partial reflection problem in practical application is of great importance in the design of a harbour or breakwater and mainly for short waves. The reflection coefficient of the harbour boundary (sidewall) plays an important role in modifying the performance of the floating breakwater. Moreover, it reduces the resonant peaks appearing inside the ports due to the energy accumulation in an enclosed domain. The effects of the variation of structural parameters of the breakwater on the transmitted wave height are discussed in details for various values of partial reflection.
45 citations
TL;DR: In this article, the authors studied the nonlinear dynamics of a multi-module floating airport and proposed a non-autonomous network model with a new feature of piecewise nonlinear coupling.
Abstract: In this paper, the nonlinear dynamics of a multi-module floating airport is studied. The floating airport consists of a number of floating modules serially coupled by flexible connectors. A non-autonomous network model is proposed with a new feature of piecewise nonlinear coupling. The investigation focuses on the onset of the phenomenon of amplitude death that corresponds to the oscillation suppression of the floating structure in waves. Parametric domains of the coupling strengths are analyzed for the amplitude death, and the underlying mechanism is further discussed. The transitions among different dynamic patterns are illustrated. Various types of collective behaviors in the network can be observed, such as complete synchronization, generalized lag synchronization, and phase-locking phenomenon. The amplitude death behavior is considerably valuable in providing theoretical guidelines for the safety design of very large floating structures.
44 citations
TL;DR: In this paper, the interaction between incident waves and a floating rectangular breakwater with the vertical porous side plates has been investigated in the context of the two-dimensional linear potential theory.
Abstract: The interaction between incident waves and a floating rectangular breakwater with the vertical porous side plates has been investigated in the context of the two-dimensional linear potential theory. The matched eigenfunction expansion method(MEEM) for multiple domains is applied to obtain the analytic solutions. The dependence of the transmitted coefficients and motion responses on the design parameters, such as porosity and protruding depth of side plates, is systematically analyzed. It is found that the non-dimensional wavelength where the sudden drop of transmission coefficients occurs, corresponds to the heave resonant frequency obtained from Ruol et al. (2013) for π -type floating breakwater. It is concluded that both properly selected porosity and deeper protruding depth of side plates are helpful in reducing the transmission coefficients and also extending the wider applicable extent of incident wavelength for performance enhancement.
37 citations
References
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01 Jan 1989
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Abstract: Keywords: methodes : numeriques ; fonction de forme Reference Record created on 2005-11-18, modified on 2016-08-08
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5,049 citations
Book•
01 Jan 1983
TL;DR: In this article, the authors present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from a deterministic point of view, and the bulk of the material deals with the linearized theory.
Abstract: The aim of this book is to present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from the deterministic point of view. The bulk of the material deals with the linearized theory.
2,003 citations
[...]
TL;DR: In this paper, the evanescent field structure over the wave front, as represented by equiphase planes, is identified as one of the most important and easily recognizable forms of surface wave.
Abstract: This paper calls attention to some of the most important and easily recognizable forms of surface wave, pointing out that their essential common characteristic is the evanescent field structure over the wave front, as represented by equiphase planes. The problems of launching and supporting surface waves must, in general, be distinguished from one another and it does not necessarily follow that because a particular surface is capable of supporting a surface wave that a given aperture distribution of radiation, e.g. a vertical dipole, can excite such a wave. The paper concludes with a discussion of the behavior of surface waves and their applications.
1,244 citations