Vorticity and Incompressible Flow
by: Andrew J. Majda , Andrea L. Bertozzi
Book Description
November 26, 2001 0521639484 978-0521639484 1
This
comprehensive introduction to the mathematical theory of vorticity and
incompressible flow begins with the elementary introductory material and leads
into current research topics. While the book centers on mathematical theory,
many parts also showcase the interaction among rigorous mathematical theory,
numerical, asymptotic, and qualitative simplified modeling, and physical
phenomena. The first half forms an introductory graduate course on vorticity
and incompressible flow. The second half comprises a modern applied mathematics
graduate course on the weak solution theory for incompressible flow.
Editorial Reviews
Review
"This
book is destined to become a classic...This is the standard to which the rest
of us need to aspire." Journal of Fluid Mechanics
"There are about 11 books currently available on the market covering incompressible flows. Majda and Bertozzi's book is unique in covering both the classical and weak solutions for the incompressible and inviscid flows and is excellently done." Mathematical Reviews
"There are about 11 books currently available on the market covering incompressible flows. Majda and Bertozzi's book is unique in covering both the classical and weak solutions for the incompressible and inviscid flows and is excellently done." Mathematical Reviews
Book Description
This book
is a comprehensive introduction to the mathematical theory of vorticity and
incompressible flow ranging from elementary introductory material to current
research topics. While the contents center on mathematical theory, many parts
of the book showcase the interaction between rigorous mathematical theory,
numerical, asymptotic, and qualitative simplified modeling, and physical
phenomena. The first half forms an introductory graduate course on vorticity
and incompressible flow. The second half comprise a modern applied mathematics
graduate course on the weak solution theory for incompressible flow.
Product Details
- Series: Cambridge Texts in Applied Mathematics (Book 27)
- Paperback: 560 pages
- Publisher: Cambridge University Press; 1 edition (November 26, 2001)
- Language: English
- ISBN-10: 0521639484
- ISBN-13: 978-0521639484
- 2,68 MB , pdf
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Simplified Models for Turbulent Diffusion: Theory, Numerical Modelling, and Physical Phenomena
by:
Product Details
- Paperback: 337 pages
- Publisher: North-Holland (1999)
- Language: English
- ASIN: B007WV1PJ0
- 2,75 MB , pdf
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Vortex Structure and Dynamics
by: Agnes Maurel , Philippe Petitjeans
Book Description
October 4, 2013 3662143046 978-3662143049 Softcover reprint of the original 1st ed.
2000
The object
of this book is to present the state of the art and to summarize the most
recent advances in the structure and dynamics of vortices. This subject has
indeed recently made some remarkable progress, particularly thanks to studies
of turbulence, where coherent structures have been shown to play an important
role. The book presents four general reviews on the experimental, numerical,
theoretical, and 2D-vortex aspects. In addition to these reviews, a series of
articles describe a cross-section of recent work. Some of these studies are
concerned with related fields, such as turbulence, aerodynamics, wakes,
geophysics, mixing, and particle dynamics.
Editorial Reviews
From the Back Cover
The object
of this book is to present the state of the art and to summarize the most
recent advances in the structure and dynamics of vortices. This subject has
indeed recently made some remarkable progress, particularly thanks to stu- dies
of turbulence, where coherent structures have been shown to play an important
role. The book presents four ge- neral reviews on the experimental, numerical,
theoretical, and 2D-vortex aspects. In addition to these reviews, a se- ries of
articles describe a cross-section of recent work. Some of these studies are
concerned with related fields, such as turbulence, aerodynamics, wakes,
geophysics, mixing, and particle dynamics.
Product Details
- Series: Lecture Notes in Physics (Book 555)
- Paperback: 319 pages
- Publisher: Springer; Softcover reprint of the original 1st ed. 2000 edition (October 4, 2013)
- Language: English
- ISBN-10: 3662143046
- ISBN-13: 978-3662143049
- 3,21 MB , djvu
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Developments in the Theory of Turbulence
by: D.C. Leslie
Product Details
- Hardcover: 388 pages
- Publisher: Oxford University Press (December 27, 1973)
- Language: English
- ISBN-10: 0198563183
- ISBN-13: 978-0198563181
- 4,78 MB , djvu
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Topological Aspects of the Dynamics of Fluids and Plasmas
by: H.K. Moffatt , G.M. Zaslavsky , P. Comte , M. Tabor
Book Description
August 31, 1992 0792319001 978-0792319009 1992
The
intimate relationship between three-dimensional vortex dynamics and topology
was recognized as early as 1869 by Lord Kelvin, whose discoveries in fluid
dynamics led to the development of knot theory as a well-defined branch of
topology. It is only in the last 25 years, however, with the parallel stimulus
of the development of magnetohydrodynamics in astrophysical and geophysical
contexts, that the great potential of topological techniques in fluid and
plasma has been fully recognized.
This volume provides a comprehensive survey of this interdisciplinary field. The relevant background in knot theory, flow kinematics, dynamo theory, and relaxation under topological constraints, is provided by the introductory chapters of Part I. These themes are developed in the subsequent papers which are grouped under the following headings: Part II: Relaxation and Minimum Energy States; Part III: Helicity, Linkage, and Flow Topology; Part IV: The Euler Equations: Extremal Properties and Finite-Time Singularities; Part V: Vortex Interactions and the Structure of Turbulence; Part VI: Chaos, Instability, and Dynamo Theory.
This volume provides a comprehensive survey of this interdisciplinary field. The relevant background in knot theory, flow kinematics, dynamo theory, and relaxation under topological constraints, is provided by the introductory chapters of Part I. These themes are developed in the subsequent papers which are grouped under the following headings: Part II: Relaxation and Minimum Energy States; Part III: Helicity, Linkage, and Flow Topology; Part IV: The Euler Equations: Extremal Properties and Finite-Time Singularities; Part V: Vortex Interactions and the Structure of Turbulence; Part VI: Chaos, Instability, and Dynamo Theory.
Product Details
- Series: Nato Science Series E: (closed) (Book 218)
- Hardcover: 606 pages
- Publisher: Springer; 1992 edition (August 31, 1992)
- Language: English
- ISBN-10: 0792319001
- ISBN-13: 978-0792319009
- 4,92 MB , djvu
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The Physics of Fluid Turbulence
by: W. D. McComb
Book Description
March 19, 1992
019856256X 978-0198562566
This book
provides an in-depth look at fluid turbulence: the archetypal non-linear,
non-equilibrium problem of statistical physics which has witnessed significant
progress in recent years, facilitated by advances in laser anemometry, computer
technology, and theoretical methods from quantum physics. A fully integrated
work, The Physics of Fluid Turbulence
approaches its subject as a universal phenomenon with a universal behavior. It
includes a concise summary of the theory and practice of turbulence science up
to 1960, followed by a detailed analysis of more recent developments in this
area, including a rigorous formulation of the turbulence problem as an example
of a non-equilibrium statistical system with strong coupling, along with the
application of renormalized perturbation theory. Designed for those new to the
subject, the book will also be useful to those who are familiar with the study
of turbulence but have not yet approached the subject utilizing the theoretical
methods from quantum physics that are covered here.
Editorial Reviews
Review
"This book will become a classic text for turbulence modeling. It is clear, comprehensive, and balanced" --SIAM Review
"Quite accessible, thorough and complete." --Science
"An impressive collection of different results both experimental and theoretical, which makes this book a good source for both the beginner and the expert." -- Mathematical Reviews
About the Author
W. D.
McComb is at University of Edinburgh.
Product Details
- Series: Oxford Engineering Science (Book 25)
- Paperback: 602 pages
- Publisher: Oxford University Press, USA (March 19, 1992)
- Language: English
- ISBN-10: 019856256X
- ISBN-13: 978-0198562566
- 5,10 MB , djvu
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Foundations of Radiation Hydrodynamics
by: Dimitri Mihalas ,
Largely self contained, this expert three-part treatment focuses on the dynamics of nonradiating fluids; explores the physics of radiation, radiation transport, and the dynamics of radiating fluids; and offers a brief appendix that explains the use of tensor concepts in equations related to the transition of ordinary fluids to relativistic fluids to radiation. 1984 edition.
Product Details
- Series: Dover Books on Physics
- Paperback: 736 pages
- Publisher: Dover Publications (July 7, 1999)
- Language: English
- ISBN-10: 0486409252
- ISBN-13: 978-0486409252
- 7,38 MB , djvu
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The Acoustic Bubble
by: T. G. Leighton
This volume deals with the interaction of acoustic fields with bubbles in liquids. The principles of cavitation (generation of bubbles in liquids by rapid changes as those introduced by ultrasound) are expounded. When cavity bubbles implode they produce shock waves in the liquid. Components can be damaged by cavitation if it is induced by turbulent flow. These phenomena have important implications, particularly in underwater acoustics (the fastest growing field in acoustics research). Later chapters concentrate on cavitation due to ultrasound. This interdisciplinary research should be of interest to those engaged in research from sonochemistry to the sensitization of explosives. The physical processes involved are explained both by analogy and formulation. In this way, the concepts should be accessible to those of lesser mathematical ability.
Editorial Reviews
Review
"One
can only effevesce with praise upon perusing The Acoustic Bubble, by T.G.
Leighton. Here is a volume that is both comprehensive and readable--that
informs the expert and the novice...The reader is well served by the author's
careful attention to detail, his extensive table of symbols (14 pages!), his
excellent use of photographs and graphics, an extraordinarily comprehensive
bibliography, and, most of all, by his lucid physical descriptions of phenomena
not only having to do with bubbles but also with a variety of physical systems
that are related to foundations of the sciences that one must understand if one
is to apply them to the bubble problem...The Acoustic Bubble is not only
interesting reading, it is an extraordinarily useful reference for those
working in or planning to work in the field...There's no trouble with this
Bubble." --Journal of the Acoustic Society of America "The strength
of this book lies in its effortless and enjoyable coverage of a wide swathe of
rather intimidating literature and its unified mathematical
approach...undoubtedly a major contribution to the field by an accomplished
teacher, scientist and enthusiast." --Physics in Medicine and Biology
"There is no doubt that this is the most comprehensive and accessible text
on acoustic cavitation available...This is a required reference for scientists
and, in particular, medical physicists interested in becoming aquainted with
the mathematical description of bubble dynamics and the wealth of associated
physical phenomena. It is user friendly, thorough in its treatment of the
theory and encyclopaedic in its coverage of the experimental literature. I have
no doubts that it will become a standard text." --Scope (The Journal of
the IPSM) --This text refers to an out of print or
unavailable edition of this title.
From the Back Cover
The wide
range of important applications concerning the acoustic interactions of bubbles
necessitates a book of this form which, utilising analogy, description, and
formulation, gives a 'physical feel' for the phenomena, whilst also providing
thoroughly for mathematically adept readers.
The first half of the book introduces and draws together acoustics, cavitation nucleation and associated fluid dynamics, to examine the free oscillations of bubbles and the resulting acoustic emissions. In the second half, the behaviour and consequences of bubbles in externally-applied acoustic fields is discussed in detail, including the cavitational aspects of erosion and bioeffects.
Throughout the book topics drawn from a variety of disciplines, and include:
. Bubble and cavitation detection
. Bioeffects of clinical ultrasound
. Oceanic bubble populations
. Sonochemistry
. Ultrasonic degassing
. Weather sensing
The first half of the book introduces and draws together acoustics, cavitation nucleation and associated fluid dynamics, to examine the free oscillations of bubbles and the resulting acoustic emissions. In the second half, the behaviour and consequences of bubbles in externally-applied acoustic fields is discussed in detail, including the cavitational aspects of erosion and bioeffects.
Throughout the book topics drawn from a variety of disciplines, and include:
. Bubble and cavitation detection
. Bioeffects of clinical ultrasound
. Oceanic bubble populations
. Sonochemistry
. Ultrasonic degassing
. Weather sensing
Product Details
- Paperback: 640 pages
- Publisher: Academic Press (January 20, 1994)
- Language: English
- ISBN-10: 0124124984
- ISBN-13: 978-0124124981
- 10,0 MB , djvu
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