Propagation Of Wawes In Hydrodynamic Flows

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Propagation of Waves in Shear Flows

Author : A L Fabrikant,Yu A Stepanyants
Publisher : World Scientific
Page : 304 pages
File Size : 45,5 Mb
Release : 1998-10-20
Category : Science
ISBN : 9789814501286

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Propagation of Waves in Shear Flows by A L Fabrikant,Yu A Stepanyants Pdf

The state of the art in a theory of oscillatory and wave phenomena in hydrodynamical flows is presented in this book. A unified approach is used for waves of different physical origins. A characteristic feature of this approach is that hydrodynamical phenomena are considered in terms of physics; that is, the complement of the conventionally employed formal mathematical approach. Some physical concepts such as wave energy and momentum in a moving fluid are analysed, taking into account induced mean flow. The physical mechanisms responsible for hydrodynamic instability of shear flows are considered within the concept of negative energy waves. The phenomenon of over-reflection is analysed. A number of well-known theorems of the hydrodynamic theory of stability are interpreted in terms of the interaction of the waves having different energy signs. Attention is drawn to the plasma-hydrodynamic analogy, which is a powerful tool for physical analyses of general mechanisms of wave amplification and absorption in flows. Various wave-flow interaction problems are considered, for instance, sound generation in whistlers, wave scattering and amplification by vortices, methods of wave remote sounding, and some nonlinear dynamical and chaotic phenomena. The book is intended for researchers specializing in wave theory, aeroacoustics, geophysical and astrophysical fluid dynamics, and related fields. It may also be useful to graduate and post-graduate students as a supplement to standard lecture courses. Contents:Wave Energy and Momentum in a Moving MediumWave Generation by Unstable Shear FlowsPiecewise-Linear Models of FlowsOver-ReflectionResonant Wave–Flow InteractionOscillatory Systems with Hydrodynamic FlowsWaves on Concentrated VorticesRemote Wave Sensing of Moving VorticesBibliography Readership: Nonlinear scientists, researchers in wave theory, fluid dynamics and related fields. keywords:Stratified Shear Flows;Hydrodynamic Instabilities;Wave Energy and Momentum;Negative Energy Waves;Wave-Current Interaction. Over-Reflection;Plasma-Hydrodynamic Analogy;Wind Waves;Solitons;Concentrated Vortices;Resonance Interaction;Critical Layer;Whistle;Vortex Sheet;Rossby Waves;Internal Gravity Waves;Sound Scattering;Aerodynamic Generation of Sound “… will be most useful as a reference … it is well written and substantially free of typographic mistakes.” Applied Mechanics Reviews

Waves in Flows

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Springer Nature
Page : 362 pages
File Size : 41,7 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9783030678456

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Waves in Flows by Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Pdf

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.

Analytical and Numerical Methods for Wave Propagation in Fluid Media

Author : K. Murawski
Publisher : World Scientific
Page : 260 pages
File Size : 55,5 Mb
Release : 2002
Category : Science
ISBN : 981277663X

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Analytical and Numerical Methods for Wave Propagation in Fluid Media by K. Murawski Pdf

This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.

Numerical Methods for Shallow-Water Flow

Author : C.B. Vreugdenhil
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 50,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401583541

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Numerical Methods for Shallow-Water Flow by C.B. Vreugdenhil Pdf

A wide variety of problems are associated with the flow of shallow water, such as atmospheric flows, tides, storm surges, river and coastal flows, lake flows, tsunamis. Numerical simulation is an effective tool in solving them and a great variety of numerical methods are available. The first part of the book summarizes the basic physics of shallow-water flow needed to use numerical methods under various conditions. The second part gives an overview of possible numerical methods, together with their stability and accuracy properties as well as with an assessment of their performance under various conditions. This enables the reader to select a method for particular applications. Correct treatment of boundary conditions (often neglected) is emphasized. The major part of the book is about two-dimensional shallow-water equations but a discussion of the 3-D form is included. The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.

Waves in Flows

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Birkhäuser
Page : 263 pages
File Size : 55,9 Mb
Release : 2021-06-07
Category : Mathematics
ISBN : 3030681432

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Waves in Flows by Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Pdf

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.

Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Author : F.H. Busse,L. Kramer
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468457933

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Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems by F.H. Busse,L. Kramer Pdf

This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.

Dynamics and Patterns in Complex Fluids

Author : Akira Onuki,Kyozi Kawasaki
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642760082

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Dynamics and Patterns in Complex Fluids by Akira Onuki,Kyozi Kawasaki Pdf

The fourth Nishinomiya-Yukawa Memorial Symposium, devoted to the topic of dynamics and patterns in complex fluids, was held on October 26 and 27, 1989, in Nishinomiya City, Japan, where ten invited speakers gave their lectures. A one-day meeting, comprising short talks and poster sessions, was then held on the same topic on October 28 at the Research Institute for Fundamental Physics, Kyoto University. The present volume contains the 10 invited papers and 38 contributed papers presented at these two meetings. The symposium was sponsored by Nishinomiya City, where Prof. Hideki Yukawa once lived and where he wrote the celebrated paper describing the work that was later honored by a Nobel prize. The topic of the fourth symposium was chosen from one of the most vigorously evolving and highly interdisciplinary fields in condensed matter physics. The field of complex fluids is very diverse and still in its infancy and, as a result, the definition of a complex fluid varies greatly from one researcher to the next. One of the objectives of the symposium was to clarify its definition by explicitly posing a number of potentially rich problems waiting to be explored. Indeed, experimentalists are disclosing a variety of intriguing dynamical phenomena in complex systems such as polymers, liquid crystals, gels, colloids, and surfactant systems. We, the organizers, hope that the symposium will contribute to the increasing importance of the field in the coming years.

Twenty-Second Symposium on Naval Hydrodynamics

Author : National Research Council,Naval Surface Warfare Center, Carderock Division,Office of Naval Research,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Naval Studies Board
Publisher : National Academies Press
Page : 1039 pages
File Size : 49,8 Mb
Release : 2000-03-02
Category : Science
ISBN : 9780309065375

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Twenty-Second Symposium on Naval Hydrodynamics by National Research Council,Naval Surface Warfare Center, Carderock Division,Office of Naval Research,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Naval Studies Board Pdf

The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.

Wave Interactions and Fluid Flows

Author : Alex D. D. Craik
Publisher : Cambridge University Press
Page : 340 pages
File Size : 54,6 Mb
Release : 1988-07-07
Category : Mathematics
ISBN : 0521368294

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Wave Interactions and Fluid Flows by Alex D. D. Craik Pdf

Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear flows. On the one hand, this includes water waves, internal waves, their evolution and interaction and associated wave-driven mean flows; on the other, phenomena of nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. Close similarities - and crucial differences - exist between these two classes of phenomena and their treatment in this single study provides a particularly valuable bridge between more specialised, but related, disciplines. As a result, this unique book will appeal to researchers and graduate students of fluid mechanics in its widest sense, including the study of wave-interaction phenomena in such diverse fields as meteorology, aeronautical and hydraulic engineering, optics, solar physics and population dynamics. Dr Craik is an active researcher of long-standing at the University of St Andrews and has wide experience in the field of fluid mechanics.

Waves in Flows

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Unknown
Page : 0 pages
File Size : 52,9 Mb
Release : 2021
Category : Electronic
ISBN : 3030678466

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Waves in Flows by Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Pdf

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.

Dispersive Shallow Water Waves

Author : Gayaz Khakimzyanov,Denys Dutykh,Zinaida Fedotova,Oleg Gusev
Publisher : Springer Nature
Page : 296 pages
File Size : 51,6 Mb
Release : 2020-09-15
Category : Mathematics
ISBN : 9783030462673

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Dispersive Shallow Water Waves by Gayaz Khakimzyanov,Denys Dutykh,Zinaida Fedotova,Oleg Gusev Pdf

This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.

Mechanics of Continua and Wave Dynamics

Author : Leonid M. Brekhovskikh,Valery Goncharov
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642850349

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Mechanics of Continua and Wave Dynamics by Leonid M. Brekhovskikh,Valery Goncharov Pdf

Mechanics of Continua and Wave Dynamics is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory. The material is presented with simplicity and clarity but also with mathematical rigor. Many wave phenomena, especially those of geophysical nature (different types of waves in the ocean, seismic waves in the earth crust, wave propagation in the atmosphere, etc.), are considered. Each subject is introduced with simple physical concepts using numerical examples and models. The treatment then goes into depth and complicated aspects are illustrated by appropriate generalizations. Numerous exercises with solutions will help students to comprehend and assimilate the ideas.

Hydrodynamics of Time-Periodic Groundwater Flow

Author : Joe S. Depner,Todd C. Rasmussen
Publisher : John Wiley & Sons
Page : 324 pages
File Size : 44,9 Mb
Release : 2016-12-02
Category : Science
ISBN : 9781119133971

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Hydrodynamics of Time-Periodic Groundwater Flow by Joe S. Depner,Todd C. Rasmussen Pdf

Hydrodynamics of Time-Periodic Groundwater Flow introduces the emerging topic of periodic fluctuations in groundwater. While classical hydrology has often focused on steady flow conditions, many systems display periodic behavior due to tidal, seasonal, annual, and human influences. Describing and quantifying subsurface hydraulic responses to these influences may be challenging to those who are unfamiliar with periodically forced groundwater systems. The goal of this volume is to present a clear and accessible mathematical introduction to the basic and advanced theory of time-periodic groundwater flow, which is essential for developing a comprehensive knowledge of groundwater hydraulics and groundwater hydrology. Volume highlights include: Overview of time-periodic forcing of groundwater systems Definition of the Boundary Value Problem for harmonic systems in space and time Examples of 1-, 2-, and 3-dimensional flow in various media Attenuation, delay, and gradients, stationary points and flow stagnation Wave propagation and energy transport Hydrodynamics of Time-Periodic Groundwater Flow presents numerous examples and exercises to reinforce the essential elements of the theoretical development, and thus is eminently well suited for self-directed study by undergraduate and graduate students. This volume will be a valuable resource for professionals in Earth and environmental sciences who develop groundwater models., including in the fields of groundwater hydrology, soil physics, hydrogeology, geoscience, geophysics, and geochemistry. Time-periodic phenomena are also encountered in fields other than groundwater flow, such as electronics, heat transport, and chemical diffusion. Thus, students and professionals in the field of chemistry, electronic engineering, and physics will also find this book useful. Read an interview with the editors to find out more: https://eos.org/editors-vox/a-foundation-for-modeling-time-periodic-groundwater-flow

Wave Propagation in Fluids

Author : Vincent Guinot
Publisher : John Wiley & Sons
Page : 282 pages
File Size : 52,6 Mb
Release : 2013-05-06
Category : Science
ISBN : 9781118623619

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Wave Propagation in Fluids by Vincent Guinot Pdf

This book presents the physical principles of wave propagation in fluid mechanics and hydraulics. The mathematical techniques that allow the behavior of the waves to be analyzed are presented, along with existing numerical methods for the simulation of wave propagation. Particular attention is paid to discontinuous flows, such as steep fronts and shock waves, and their mathematical treatment. A number of practical examples are taken from various areas fluid mechanics and hydraulics, such as contaminant transport, the motion of immiscible hydrocarbons in aquifers, river flow, pipe transients and gas dynamics. Finite difference methods and finite volume methods are analyzed and applied to practical situations, with particular attention being given to their advantages and disadvantages. Application exercises are given at the end of each chapter, enabling readers to test their understanding of the subject.

Waves and Mean Flows

Author : Oliver Bühler
Publisher : Cambridge University Press
Page : 377 pages
File Size : 55,7 Mb
Release : 2014-03-06
Category : Mathematics
ISBN : 9781107669666

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Waves and Mean Flows by Oliver Bühler Pdf

A fundamental reference for graduate students and researchers in fluid mechanics. Now revised throughout, it also includes exercises.