Vortex Methods: Theory and Applications

Book Description

Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character, which was the motivation for their introduction. This book presents and analyzes vortex methods as a tool for the direct numerical simulation of impressible viscous flows. It will interest graduate students and researchers in numerical analysis and fluid mechanics and also serve as an ideal textbook for courses in fluid dynamics.

The Navier-Stokes Equations: Theory & Numerical Methods (Lecture Notes in Pure and Applied Mathematics)

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The Navier-Stokes Equations: Theory & Numerical Methods (Lecture Notes in Pure and Applied Mathematics)
Rodolfo Salvi
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 0824706722

Book Description

"Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."

Applied Analysis of the Navier-Stokes Equations (Cambridge Texts in Applied Mathematics)

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Applied Analysis of the Navier-Stokes Equations (Cambridge Texts in Applied Mathematics)
Charles R. Doering , and J. D. Gibbon
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 052144568X

Book Description

The Navier-Stokes equations are a set of nonlinear partial differential equations that describe the fundamental dynamics of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier-Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion. The goal of the book is to present a mathematically rigorous investigation of the Navier-Stokes equations that is accessible to a broader audience than just the subfields of mathematics to which it has traditionally been restricted. Therefore, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses. This book is appropriate for graduate students in many areas of mathematics, physics, and engineering.

Spectral Methods for Incompressible Viscous Flow

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Spectral Methods for Incompressible Viscous Flow
Roger Peyret
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387952217

Book Description

This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flows in clear and elementary terms. It begins with an introduction to the fundamentals of spectral methods and then moves on to cover, in particular, the Fourier and Chebyshev methods. Examples are included. Chapters 6 and 7 handle streamfunction-vorticity and velocity-pressure fomulations of the Navier-Stokes equations. Chapter 8 and 9 address special topics such as self- adaptive coordinate transform, treatment of singularities, and domain decomposition. The work will be useful to those teaching in the field at the graduate level, as well as to researchers working in the area.

Navier-Stokes Equations and Nonlinear Functional Analysis (Cbms-Nsf Regional Conference Series in Applied Mathematics ; 41)

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Navier-Stokes Equations and Nonlinear Functional Analysis (Cbms-Nsf Regional Conference Series in Applied Mathematics ; 41)
Roger Teman
Manufacturer: Society for Industrial & Applied
ProductGroup: Book
Binding: Paperback

Navier-Stokes Equations: Theory and Numerical Analysis (AMS Chelsea Publishing)

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Navier-Stokes Equations: Theory and Numerical Analysis (AMS Chelsea Publishing)
Roger Temam
Manufacturer: American Mathematical Society
ProductGroup: Book
Binding: Hardcover

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ASIN: 0821827375

Book Description

This book was originally published in 1977 and has since been reprinted four times (the last reprint was in 1984). The current volume is reprinted and fully retypeset by the AMS. It is very close in content to the 1984 edition. The book presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. The relevant mathematical tools are introduced at each stage.

The new material in this book is Appendix III, reproducing a survey article written in 1998. This appendix contains a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. Readers are advised to peruse this appendix before reading the core of the book.

Book Description

The major thrust of this book is to present a technique of analysis that aids the formulation, understanding, and solution of problems of viscous flow. The intent is to avoid providing a "canned" program to solve a problem, offering instead a way to recognize the underlying physical, mathematical, and modeling concepts inherent in the solutions. The reader must first choose a mathematical model and derive governing equations based on realistic assumptions, or become aware of the limitations and assumptions associated with existing models. An appropriate solution technique is then selected. The solution technique may be either analytical or numerical. Computer-aided analysis algorithms supplement the classical analyses. The book begins by deriving the Navier-Stokes equation for a viscous compressible variable property fluid. The second chapter considers exact solutions of the incompressible hydrodynamic boundary layer equations solved with and without mass transfer at the wall. Forced convection, free convection, and the compressible laminar boundary layer are discussed in the remaining chapters. The text unifies the various topics by tracing a logical progression from simple to complex governing differential equations and boundary conditions. Numerical, parametric, and directed analysis problems are included at the end of each chapter.

Navier-Stokes Equations and Nonlinear Functional Analysis (CBMS-NSF Regional Conference Series in Applied Mathematics)

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Navier-Stokes Equations and Nonlinear Functional Analysis (CBMS-NSF Regional Conference Series in Applied Mathematics)
Roger Temam
Manufacturer: Society for Industrial Mathematics
ProductGroup: Book
Binding: Paperback

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ASIN: 0898713404

Book Description

This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds.

Detached-eddy simulation with compressibility corrections applied to a supersonic axisymmetric base flow (AIAA)

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Detached-eddy simulation with compressibility corrections applied to a supersonic axisymmetric base flow (AIAA)
James R Forsythe
Manufacturer: American Institute of Aeronautics and Astronautics
ProductGroup: Book
Binding: Unknown Binding

Customer Reviews:

Books are great..........2006-11-21

I have all the parts (Fellowship of the ring, Return of the King & The Two Towers). I have loved the audiobooks.

I only have 1 problem with the audiobooks and that is when I converted the discs so I could listen to them on my ipod, the names of each track varied.

On some it ists the name of teh chapter and followed by a number(part of the chapter, others it names the book and the track number without the chapter title name, and on others it says the track number...

They should have been consistent with the track names.

Lord of the Rings for car trips?.......2006-11-19

It's hard to add more than other reviewers have done. Most of the comments are right-on, but I think it's nice for a potential buyer to hear a lot of people voicing their opinions. This is a long set but perfect for a devoted fan. I love listening to it while doing other things or in the car on the way to work, probably also for an airplane. Rob Inglis did a great job, and while a few of the female voices are a bit odd, you soon forget about such things when you get wrapped up in the story.

He adds the right emphasis to the right parts and I think his voice is well-suited to this work. For hardcore LotR fans, it's hard to find something that meets our high expectations as this is a simply amazing work of art that will last for years - it's hard to find a voice that meets every (somewhat unreal, I think) expectation. But Rob Inglis comes extremely close.

It's a Good buy.......2006-06-03

It is a nice audio book. It does have it's flaws though.

1. It does not offer maps or any drawings. I have searched online for some, but only find blurry copies. Considering the maps and drawings are held so highly in admiration... it kinda sucks not to have them

2. the acting of the narrator is not the greatest. There were parts when the book notes "he yells" and the narrator speaks in a calm and clear character voice. It's kind of funny sometimes.

3. many of the narrator's "attempted" character voices sound alike. All the elf kind sound the same, even the women sound like males. All the hobbits pretty much sound the same, except Sam who has this manly deep voice, which often sounds like Aragon. Often the narrator accidentally mergers one character voice into another by accident. So a hobbit will be speaking then all the sudden he sounds like Aragon or Gandolf.

But outside of that the audio book is great. These "problems" are small. Since the un-abridged reading offers the names of who is talking and their emotions that go along with it, you can make out the story just fine. It just takes a little more imagination and you can alter their voices in your head to sound like what you want to hear. I would highly reccomend it, that is until someone figures out they can get a better actor or has the mind to hire multiple actors to fulfill the part.

There is nothing funnier than hearing a deep manly voice trying to immitate a woman singing

Brilliant, and well worth the money!.......2006-04-15

I am not a "Total Ringophile", like some out there, but I have read the books three times and loved them. I lashed out and purchased this 46 CD set as I spend a lot of time on the commute to work. It is brilliant! Each CD has approx 15 "tracks" on it so that if you miss a bit as your mind wanders (as it does in the car..) you can just bounce back one track and hear that bit again, no problems. Rob Inglis does a great job, no question. It has added a new dimension to my experince of Tolkien's masterpiece, and I highly recommend it to all. BRILLIANT !

Ingles does a fantastic job.......2005-11-26

I did not realize what a wonderful job that Ingles had done in this reading until I began listening to other audio books. Ingles manages to give each character a distinct voice and as you proceed, you recognize immediately who it is that is speaking.

After many years, Tolkien's work stands alone as the only sci-fi/fantasy story that puts the subtlety of language and culture equal to, if not above, the drama. Ingles interesting voices and care with the language of Tolkien make this a most worthy represenation of the timeless classic.

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