Author: Graham Alker
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Jared L. Black
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
Schwinger's variational formulation is applied to the radiation of surface waves due to small oscillation of bodies. By means of Haskind's theorem the wave forces on a stationary body due to a plane incident wave are found using only far field properties. Results for horizontal rectangular cylinders are presented. (Author).

Author: Ali Mohammed Ayad
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Subhabrata Gangopadhyay
Publisher: Subhabrata Gangopadhyay
ISBN: 9788600480958
Category :
Languages : en
Pages : 0

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Book Description
Scattering and radiation problems in water waves refer to the physical phenomena that occur when water waves encounter objects or boundaries, such as ships, shorelines, or underwater structures. When waves encounter these obstacles, they scatter and radiate, causing changes in the direction, amplitude, and frequency of the waves. One of the most important applications of scattering and radiation problems in water waves is in the study of coastal engineering and offshore structures. Understanding how waves interact with these structures is critical for designing and constructing coastal infrastructure, such as breakwaters, sea walls, and offshore oil rigs. By simulating the scattering and radiation of waves, engineers can design structures that can withstand the forces of the ocean and protect coastal communities from the damaging effects of waves. Scattering and radiation problems in water waves can also be used to study the behavior of marine ecosystems. Waves play a critical role in the transport of nutrients, sediments, and plankton, which are essential components of marine food webs. By studying how waves scatter and radiate around these materials, researchers can better understand how marine ecosystems function and respond to environmental changes. One of the most common methods for studying scattering and radiation problems in water waves is through mathematical modeling and simulation. These models use a combination of physical principles, such as fluid dynamics and wave theory, to predict how waves will interact with different types of obstacles and boundaries. By comparing the results of these simulations with experimental data, researchers can refine their models and improve their understanding of wave behavior. Overall, the study of scattering and radiation problems in water waves is critical for understanding the complex interactions between waves, structures, and marine ecosystems. By developing more accurate models and simulations, researchers can improve our ability to predict and manage the impacts of waves on coastal communities and marine environments. 'Fluid dynamics' is one of the most important parts of the recent interdisciplinary activities concerning engineering and science, especially in applied mathematics. Fluid dynamics or hydrodynamics is the branch of science which is concerned with the study of the motion of fluid or that of bodies in contact with fluids. Water waves are the undulatory motion of a water surface. The continuous transference of a particular state or form from one part of a medium to another with certain velocity of propagation without any displacement of the medium itself executes wave motion in the medium. Study of various types of wave problems in ocean constitutes an important branch of fluid dynamics as it enables us to understand various natural wave phenomena occurring on the ocean surface a well as inside the ocean. If we throw a stone in a pond we observe waves in the pond which start from the point of striking of the stone and spread in all directions. Such waver waves are also produced by pressure of wind upon the surface of water, by the relative motion of bodies like a ship moving in sea and by obstacles in the bed of the stream.

Author: Jared L. Black
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 248

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Book Description
Problems of scattering and radiation of water waves by rectangular or circular bodies are formulated within the framework of linearized potential theory. The objective is to find the far field wave amplitude due to radiation by a body oscillating in a prescribed manner or the disturbance caused by a body fixed in the path of an obliquely incident train of waves. The radiation results can be used in conjunction with Haskind's theorem to establish the forces (moment) an incident wave induces on a fixed body. Further, the radiation results are useful in establishing the damping coefficients associated with forced body oscillation. Specific results which are obtained are the complex reflection and transmission coefficients for two dimensional obstacles including the limiting cases of thin vertical barriers, thin surface strip, and submerged gap. Also the total and differential scattering cross-sections for vertical circular cylinders are presented. Radiated wave amplitudes are given for bodies oscillating in heave, sway, or roll, as well as the forces induced on fixed bodies by incident waves. Comparison with experimental and theoretical results by others is included. (Author).

Author: Chiang C. Mei
Publisher:
ISBN:
Category : Gravity waves
Languages : en
Pages : 256

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Book Description
[I.] Some initial value problems are studied regarding the radiation and scattering of gravity waves by finite bodies in an infinitely deep ocean. Emphasis is placed on the case where a finite number of thin plates lie on a vertical line, for which the general solution is obtained by transforming the boundary value problem to one of the Riemann-Hilbert type. Explicit investigations are made for the large time behavior of the free surface elevation for the case of a rolling plate, and for the Cauchy-Poisson problems in the presence of a stationary plate. By taking the limit as t → ∞, the steady state solution is derived for a harmonic point pressure acting on the free surface near a vertical barrier. Finally a formal asymptotic representation of the free surface elevation is given for large time when the geometry of the submerged bodies is arbitrary.

Author: Birendra Nath Mandal
Publisher: CRC Press
ISBN: 1498705537
Category : Mathematics
Languages : en
Pages : 375

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Book Description
The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes

Author: C.M. Linton
Publisher: CRC Press
ISBN: 1420036068
Category : Mathematics
Languages : en
Pages : 317

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Book Description
Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the

Author: Alexander Babanin
Publisher: Cambridge University Press
ISBN: 1139502727
Category : Science
Languages : en
Pages : 479

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Book Description
Wave breaking represents one of the most interesting and challenging problems for fluid mechanics and physical oceanography. Over the last fifteen years our understanding has undergone a dramatic leap forward, and wave breaking has emerged as a process whose physics is clarified and quantified. Ocean wave breaking plays the primary role in the air-sea exchange of momentum, mass and heat, and it is of significant importance for ocean remote sensing, coastal and ocean engineering, navigation and other practical applications. This book outlines the state of the art in our understanding of wave breaking and presents the main outstanding problems. It is a valuable resource for anyone interested in this topic, including researchers, modellers, forecasters, engineers and graduate students in physical oceanography, meteorology and ocean engineering.

Author: Jared L. Black
Publisher:
ISBN:
Category :
Languages : en
Pages : 33

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Book Description
Schwinger's variational technique and Haskind's theorem are applied to half cylinders of circular cross-section immersed vertically in water. Scattering and radiation amplitudes as well as wave forces are calculated. (Author).