A Modern Introduction to the Mathematical Theory of Water Waves PDF Download
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Author: Robin Stanley Johnson
Publisher: Cambridge University Press
ISBN: 9780521598323
Category : Mathematics
Languages : en
Pages : 468
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Book Description
This text considers classical and modern problems in linear and non-linear water-wave theory.
Author: Robin Stanley Johnson
Publisher: Cambridge University Press
ISBN: 9780521598323
Category : Mathematics
Languages : en
Pages : 468
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Book Description
This text considers classical and modern problems in linear and non-linear water-wave theory.
Author: Bernard LeMéhauté
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 246
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Book Description
Author: A.J. Hermans
Publisher: Springer Science & Business Media
ISBN: 9400700962
Category : Technology & Engineering
Languages : en
Pages : 177
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Book Description
In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.
Author: Robert G Dean
Publisher: World Scientific Publishing Company
ISBN: 9814365696
Category : Technology & Engineering
Languages : en
Pages : 369
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Book Description
This book is intended as an introduction to classical water wave theory for the college senior or first year graduate student. The material is self-contained; almost all mathematical and engineering concepts are presented or derived in the text, thus making the book accessible to practicing engineers as well.The book commences with a review of fluid mechanics and basic vector concepts. The formulation and solution of the governing boundary value problem for small amplitude waves are developed and the kinematic and pressure fields for short and long waves are explored. The transformation of waves due to variations in depth and their interactions with structures are derived. Wavemaker theories and the statistics of ocean waves are reviewed. The application of the water particle motions and pressure fields are applied to the calculation of wave forces on small and large objects. Extension of the linear theory results to several nonlinear wave properties is presented. Each chapter concludes with a set of homework problems exercising and sometimes extending the material presented in the chapter. An appendix provides a description of nine experiments which can be performed, with little additional equipment, in most wave tank facilities.
Author: David Lannes
Publisher: American Mathematical Soc.
ISBN: 0821894706
Category : Mathematics
Languages : en
Pages : 347
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Book Description
This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Author: James Johnston Stoker
Publisher: Courier Dover Publications
ISBN: 0486839923
Category : Science
Languages : en
Pages : 593
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Book Description
First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Author: Peter Janssen
Publisher: Cambridge University Press
ISBN: 0521465400
Category : Science
Languages : en
Pages : 310
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Book Description
This book was published in 2004. The Interaction of Ocean Waves and Wind describes in detail the two-way interaction between wind and ocean waves and shows how ocean waves affect weather forecasting on timescales of 5 to 90 days. Winds generate ocean waves, but at the same time airflow is modified due to the loss of energy and momentum to the waves; thus, momentum loss from the atmosphere to the ocean depends on the state of the waves. This volume discusses ocean wave evolution according to the energy balance equation. An extensive overview of nonlinear transfer is given, and as a by-product the role of four-wave interactions in the generation of extreme events, such as freak waves, is discussed. Effects on ocean circulation are described. Coupled ocean-wave, atmosphere modelling gives improved weather and wave forecasts. This volume will interest ocean wave modellers, physicists and applied mathematicians, and engineers interested in shipping and coastal protection.
Author: Thomas J. Bridges
Publisher: Cambridge University Press
ISBN: 1107565561
Category : Mathematics
Languages : en
Pages : 299
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Book Description
A range of experts contribute introductory-level lectures on active topics in the theory of water waves.
Author: Benjamin de Mayo
Publisher: Morgan & Claypool Publishers
ISBN: 1627056769
Category : Science
Languages : en
Pages : 201
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Book Description
Humans receive the vast majority of sensory perception through the eyes and ears. This non-technical book examines the everyday physics behind hearing and vision to help readers understand more about themselves and their physical environment. It begins wit
Author: Joseph Pedlosky
Publisher: Springer Science & Business Media
ISBN: 3662051311
Category : Science
Languages : en
Pages : 259
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Book Description
A study of the fundamental theory of waves appropriate for first year graduate students in oceanography, meteorology and associated sciences. Starting with an elementary overview of the basic wave concept, specific wave phenomena are then examined, including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, and geostrophic adjustment. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results. The book contains numerous exercises at the end of the respective chapters.
