Efficient Solvers for Incompressible Flow Problems
An Algorithmic and Computational Approach
Authors: Turek, Stefan
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- About this book
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The scope ofthis book is to discuss recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynam ics (CFD). Here, we mainly restrict ourselves to the case ofthe incompressible Navier-Stokes equations, Ut - v~u + U . V'u+ V'p = f , V'·u = o. (1) These basic equations already play an important role in CFD, both for math ematicians as well as for more practical scientists: Physically important facts with "real life" character can be described by them, including also economical aspects in industrial applications. On the other hand, the equations in (1) provide the complete spectrum of numerical problems nowadays concerning the mathematical treatment of partial differential equations. Although this field of research may appear to be a small part only inside of CFD, it was and still is of great interest for mathematicians as well as engineers, physicists, computer scientists and many more: a fact which can be easily checked by counting the numerous publications. Nevertheless, our contribution has some unique characteristics since it contains a few ofthe lat est results for the numerical solution of (complex) flow problems on modern computer platforms. In this book, our particular emphasis lies on the solu tion process ofthe resulting high dimensional discrete systems ofequations which is often neglected in other works. Together with the included CDROM, which contains the 'FEATFLOW 1.
- Table of contents (6 chapters)
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Motivation for current research
Pages 1-26
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Derivation of Navier-Stokes solvers
Pages 27-96
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Other mathematical components
Pages 97-280
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Numerical comparisons of Navier-Stokes solvers
Pages 281-333
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Conclusions and outlook
Pages 335-339
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Efficient Solvers for Incompressible Flow Problems
- Book Subtitle
- An Algorithmic and Computational Approach
- Authors
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- Stefan Turek
- Series Title
- Lecture Notes in Computational Science and Engineering
- Series Volume
- 6
- Copyright
- 1999
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-58393-3
- DOI
- 10.1007/978-3-642-58393-3
- Softcover ISBN
- 978-3-642-63573-1
- Series ISSN
- 1439-7358
- Edition Number
- 1
- Number of Pages
- XV, 358
- Topics
