Download or read book SCATTERING AND RADIATION PROBLEMS IN WATER WAVE written by Subhabrata Gangopadhyay and published by Subhabrata Gangopadhyay. This book was released on 2023-02-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Water Wave Scattering written by Birendra Nath Mandal and published by CRC Press. This book was released on 2015-05-21 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Water Wave Scattering by Barriers written by B. N. Mandal and published by Computational Mechanics. This book was released on 2000 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique volume the authors review the development of the subject, virtually from its inception. Details of much of the research work carded out in the linearized theory of water waves concerning problems of water wave scattering by barriers is incorporated.
Download or read book Scattering and Radiation of Water Waves written by Jared L. Black and published by . This book was released on 1970 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book On the Initial Value Problems of Radiation and Scattering of Water Waves by Immersed Obstacles and Gravity Waves Due to a Point Disturbance in a Stratified Flow written by Chiang C. Mei and published by . This book was released on 1963 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: [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.
Download or read book Developing a Practical Approach to Water Wave Scattering Problems written by Joel Frank Goodwin and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Water Wave Scattering written by Merlin Musial and published by . This book was released on 2017-03-16 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 interest to ocean engineers. Unfortunately, even the apparently simple problems appear to be difficult to tackle mathematically unless some simplified assumptions are made. Fortunately, one can assume water to be an incompressible, in viscid and homogeneous fluid. The linearised theory of water waves is based on the assumption that the amplitude of the motion is small compared to the wave length. If rotational motion is assumed, then the linearised theory of water waves is essentially concerned with solving the Laplace equation in the water region together with linearised boundary condition. There are varied classes of problems that have been are being studied mathematically in the literature within the framework of linearised theory of water waves for last many years.
Download or read book Radiation and Scattering of Water Waves by Rigid Bodies Part 2 Vertical Cylinders of Circular Cross Section written by Jared L. Black and published by . This book was released on 1971 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Wave Propagation and Scattering in Random Media written by Akira Ishimaru and published by Elsevier. This book was released on 2013-06-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation and Scattering in Random Media, Volume 1: Single Scattering and Transport Theory presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner, as well as useful approximation techniques applicable to a variety of different situations. The emphasis is on single scattering theory and transport theory. The reader is introduced to the fundamental concepts and useful results of the statistical wave propagation theory. This volume is comprised of 13 chapters, organized around three themes: waves in random scatterers, waves in random continua, and rough surface scattering. The first part deals with the scattering and propagation of waves in a tenuous distribution of scatterers, using the single scattering theory and its slight extension to explain the fundamentals of wave fluctuations in random media without undue mathematical complexities. Many practical problems of wave propagation and scattering in the atmosphere, oceans, and other random media are discussed. The second part examines transport theory, also known as the theory of radiative transfer, and includes chapters on wave propagation in random particles, isotropic scattering, and the plane-parallel problem. This monograph is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media.
Download or read book Some Scattering and Sloshing Problems in Linear Water Wave Theory written by R. Jeyakumaran and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov and published by Cambridge University Press. This book was released on 2002-07-11 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'
Download or read book Water Wave Radiation and Scattering Solutions for Horizontal Floating Cylinders by Method of Matched Asymptotic Expansions written by Elena Lyn Dabbs and published by . This book was released on 2005 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiation and Scattering of Water Waves by Rigid Bodies Part 1 General Aspects and Horizontal Rectangular Cylinders written by Jared L. Black and published by . This book was released on 1970 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Some Problems in Modeling Water Waves Relating to the Back Scattering of Microwave Radio Energy written by TEXAS UNIV AT AUSTIN ELECTRICAL ENGINEERING RESEARCH LAB. and published by . This book was released on 1958 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Techniques for Water Waves written by B. N. Mandal and published by WIT Press (UK). This book was released on 1997 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical techniques used to handle various water wave problems are varied and fascinating. This book highlights a number of these techniques in connection with investigations of some classes of water wave problems by leading researchers in this field. The first eight chapters discuss linearised theory while the last two cover nonlinear analysis. This book will be an invaluable source of reference for advanced mathematical work in water wave theory.
Download or read book The radiation and scattering of short surface waves in water written by Graham Alker and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scattering of Water Waves by Arrays of Arbitrary Bodies written by Malte A. Peter and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
