Vorticity and Turbulence:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
|
| Schriftenreihe: | Applied Mathematical Sciences
103 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised |
| Beschreibung: | 1 Online-Ressource (VIII, 176 p) |
| ISBN: | 9781441987280 9781461264590 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4419-8728-0 |
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| 500 | |a This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4419-8728-0 |
| format | Electronic eBook |
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| id | DE-604.BV042419297 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781441987280 9781461264590 |
| issn | 0066-5452 |
| language | English |
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| series2 | Applied Mathematical Sciences |
| spelling | Chorin, Alexandre J. Verfasser aut Vorticity and Turbulence by Alexandre J. Chorin New York, NY Springer New York 1994 1 Online-Ressource (VIII, 176 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 103 0066-5452 This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised Mathematics Global analysis (Mathematics) Statistics Analysis Theoretical, Mathematical and Computational Physics Statistics, general Mathematik Statistik Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Wirbelströmung (DE-588)4190007-8 gnd rswk-swf Vorticity (DE-588)4288882-7 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Vorticity (DE-588)4288882-7 s 1\p DE-604 Wirbelströmung (DE-588)4190007-8 s 2\p DE-604 https://doi.org/10.1007/978-1-4419-8728-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chorin, Alexandre J. Vorticity and Turbulence Mathematics Global analysis (Mathematics) Statistics Analysis Theoretical, Mathematical and Computational Physics Statistics, general Mathematik Statistik Turbulente Strömung (DE-588)4117265-6 gnd Wirbelströmung (DE-588)4190007-8 gnd Vorticity (DE-588)4288882-7 gnd |
| subject_GND | (DE-588)4117265-6 (DE-588)4190007-8 (DE-588)4288882-7 |
| title | Vorticity and Turbulence |
| title_auth | Vorticity and Turbulence |
| title_exact_search | Vorticity and Turbulence |
| title_full | Vorticity and Turbulence by Alexandre J. Chorin |
| title_fullStr | Vorticity and Turbulence by Alexandre J. Chorin |
| title_full_unstemmed | Vorticity and Turbulence by Alexandre J. Chorin |
| title_short | Vorticity and Turbulence |
| title_sort | vorticity and turbulence |
| topic | Mathematics Global analysis (Mathematics) Statistics Analysis Theoretical, Mathematical and Computational Physics Statistics, general Mathematik Statistik Turbulente Strömung (DE-588)4117265-6 gnd Wirbelströmung (DE-588)4190007-8 gnd Vorticity (DE-588)4288882-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Statistics Analysis Theoretical, Mathematical and Computational Physics Statistics, general Mathematik Statistik Turbulente Strömung Wirbelströmung Vorticity |
| url | https://doi.org/10.1007/978-1-4419-8728-0 |
| work_keys_str_mv | AT chorinalexandrej vorticityandturbulence |