Introduction to the numerical analysis of incompressible viscous flows:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia, Pennsylvania
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2008
|
| Schriftenreihe: | Computational science and engineering series
6 |
| Links: | https://app.knovel.com/hotlink/toc/id:kpINAIVF01/introduction-to-the?kpromoter=marc |
| Abstract: | Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations. |
| Umfang: | 1 Online-Ressource (xix, 213 Seiten) Illustrationen |
| ISBN: | 0898718902 1680157914 9780898718904 9781680157918 |
Internformat
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| 490 | 1 | |a Computational science and engineering series |v 6 | |
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| isbn | 0898718902 1680157914 9780898718904 9781680157918 |
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| spelling | Layton, W. J. Introduction to the numerical analysis of incompressible viscous flows William Layton Philadelphia, Pennsylvania Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 2008 1 Online-Ressource (xix, 213 Seiten) Illustrationen txt c cr Computational science and engineering series 6 Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations. Erscheint auch als Druck-Ausgabe 0898716578 Erscheint auch als Druck-Ausgabe 9780898716573 |
| spellingShingle | Layton, W. J. Introduction to the numerical analysis of incompressible viscous flows |
| title | Introduction to the numerical analysis of incompressible viscous flows |
| title_auth | Introduction to the numerical analysis of incompressible viscous flows |
| title_exact_search | Introduction to the numerical analysis of incompressible viscous flows |
| title_full | Introduction to the numerical analysis of incompressible viscous flows William Layton |
| title_fullStr | Introduction to the numerical analysis of incompressible viscous flows William Layton |
| title_full_unstemmed | Introduction to the numerical analysis of incompressible viscous flows William Layton |
| title_short | Introduction to the numerical analysis of incompressible viscous flows |
| title_sort | introduction to the numerical analysis of incompressible viscous flows |
| work_keys_str_mv | AT laytonwj introductiontothenumericalanalysisofincompressibleviscousflows |