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Waves in Flows

Author: Tomáš Bodnár

Publisher: Birkhäuser

Published: 2022-04-30

Total Pages: 353

ISBN-13: 9783030678470

This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include: Equatorial wave–current interactions Water–wave problems Gravity wave propagation Flow–acoustic interactions Waves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.

Fields, Flows and Waves

Author: David F. Parker

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 276

ISBN-13: 1447100190

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This book serves as an introduction to the use of mathematics in describing collective phenomena in physics and biology. Derived from a course of innovative lectures, the book shows students early in their studies how many of the topics they have encountered – partial differential equations, differential equations, Fourier series, and linear algebra – are useful in constructing, analysing and interpreting phenomena present in the real world. Throughout, ideas are developed using worked examples and exercises with solution. The text does not assume a strong background in physics.

Supersonic Flow and Shock Waves

Author: Richard Courant

Publisher: Springer Science & Business Media

Published: 1999-02-11

Total Pages: 488

ISBN-13: 9780387902326

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Courant and Friedrich's classical treatise was first published in 1948 and tThe basic research for it took place during World War II. However, many aspects make the book just as interesting as a text and a reference today. It treats the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it should appeal to engineers, physicists and mathematicians alike.

Waves and Mean Flows

Author: Oliver Bühler

Publisher: Cambridge University Press

Published: 2009-08-20

Total Pages: 362

ISBN-13: 1139480715

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Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modelling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately. This book gives a modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices. A detailed account of the theory of linear dispersive waves in moving media is followed by a thorough introduction to classical wave–mean interaction theory. The author then extends the scope of the classical theory and lifts its restriction to zonally symmetric mean flows. The book is a fundamental reference for graduate students and researchers in fluid mechanics, and can be used as a text for advanced courses; it will also be appreciated by geophysicists and physicists who need an introduction to this important area in fundamental fluid dynamics and atmosphere-ocean science.

Geophysical Waves and Flows

Author: David E. Loper

Publisher: Cambridge University Press

Published: 2017-10-26

Total Pages: 522

ISBN-13: 1316953025

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Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses in geophysical fluid dynamics.

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.

Waves in Flows

Author: Tomáš Bodnár

Publisher: Springer Nature

Published: 2021-04-29

Total Pages: 362

ISBN-13: 3030678458

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River Mechanics

Author: Pierre Y. Julien

Publisher: Cambridge University Press

Published: 2002-08-19

Total Pages: 460

ISBN-13: 9780521529709

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This textbook offers a thorough analysis of rivers from upland areas to oceans. It scrutinizes select methods underlining both theory and engineering applications, emphasizing the mechanics of flood wave propagation and sediment transport in rivers. The text covers fundamental principles, engineering analysis, and engineering design, with problems, examples, and case studies throughout. Channel stability and river dynamics are examined in terms of river morphology, lateral migration, aggradation, and degradation. Detailed treatments of riverbank stabilization and engineering methods are provided, while separate chapters cover physical and mathematical models. This essential text presents both the theory and design of measures to reduce flood impact and bank erosion, to improve navigation, and to increase water supply to cities and irrigation canals. Over 100 exercises and nearly twenty case studies make this book an invaluable learning tool for students, and researchers and practitioners will find it a concise resource on the mechanics of rivers.

Waves and Compressible Flow

Author: Hilary Ockendon

Publisher: Springer Science & Business Media

Published: 2006-05-17

Total Pages: 193

ISBN-13: 0387218025

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This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.

Waves in Flows

Author: Tomáš Bodnár

Publisher: Birkhäuser

Published: 2021-06-07

Total Pages: 263

ISBN-13: 9783030681432

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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.