Waves in Fluids
Waves in Fluids

Author: Sir M. J. Lighthill

Publisher: Cambridge University Press

Published: 2001-11-15

Total Pages: 528

ISBN-13: 9780521010450

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A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.

Fluid Waves
Fluid Waves

Author: Richard Manasseh

Publisher: CRC Press

Published: 2021-11-17

Total Pages: 312

ISBN-13: 1000464784

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This book derives the mathematical basis for the most-encountered waves in fluids in science and engineering. It gives professionals in important occupations such as maritime engineering, climate science, urban noise control, and medical diagnostics the key formulae needed for calculations. The book begins with the basis of fluid dynamics and subsequent chapters cover surface gravity waves, sound waves, internal gravity waves, waves in rotating fluids, and introduce some nonlinear wave phenomena. Basic phenomena common to all fluid waves such as refraction are detailed. Thereafter, specialized application chapters describe specific contemporary problems. All concepts are supported by narrative examples, illustrations, and problems. FEATURES • Explains the basis of wave mechanics in fluid systems. • Provides tools for the analysis of water waves, sound waves, internal gravity waves, rotating fluid waves and some nonlinear wave phenomena, together with example problems. • Includes comprehensible mathematical derivations at the expense of fewer theoretical topics. • Reviews cases describable by linear theory and cases requiring nonlinear and wave-interaction theories. This book is suitable for senior undergraduates, graduate students and researchers in Fluid Mechanics, Applied Mathematics, Meteorology, Physical Oceanography, and in Biomedical, Civil, Chemical, Environmental, Mechanical, and Maritime Engineering.

Solitary Waves in Fluids
Solitary Waves in Fluids

Author: R. Grimshaw

Publisher: WIT Press

Published: 2007

Total Pages: 209

ISBN-13: 1845641574

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Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.

Wave Propagation in Electromagnetic Media
Wave Propagation in Electromagnetic Media

Author: Julian L. Davis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 303

ISBN-13: 1461232848

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This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.

Waves in Flows
Waves in Flows

Author: Tomáš Bodnár

Publisher: Springer Nature

Published: 2021-05-04

Total Pages: 263

ISBN-13: 3030681440

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This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.

Internal Gravity Waves
Internal Gravity Waves

Author: Bruce R. Sutherland

Publisher: Cambridge University Press

Published: 2010-09-02

Total Pages: 395

ISBN-13: 1316184323

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The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.

Wave Propagation in Fluids
Wave Propagation in Fluids

Author: Vincent Guinot

Publisher: John Wiley & Sons

Published: 2012-12-27

Total Pages: 394

ISBN-13: 1118587634

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This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.

Physics of Waves
Physics of Waves

Author: William C. Elmore

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 550

ISBN-13: 0486140652

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Ideal as a classroom text or for individual study, this unique one-volume overview of classical wave theory covers wave phenomena of acoustics, optics, electromagnetic radiations, and more.

Waves in Geophysical Fluids
Waves in Geophysical Fluids

Author: John Grue

Publisher: Springer Science & Business Media

Published: 2007-08-03

Total Pages: 345

ISBN-13: 3211693564

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This book describes the forecasting and risk evaluation of tsunamis by tectonic motion, land slides, explosions, run-up, and maps the tsunami sources in the world's oceans. It presents stochastic Monte-Carlo simulations and focusing mechanisms for rogue waves, nonlinear wave models, breather formulas, and the kinematics of the Draupner wave. Coverage also reveals the full story about the discovery of the very large oceanic internal waves.

Ray Methods for Nonlinear Waves in Fluids and Plasmas
Ray Methods for Nonlinear Waves in Fluids and Plasmas

Author: Marcelo Anile

Publisher: CRC Press

Published: 2021-06-24

Total Pages: 268

ISBN-13: 1000447588

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Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.