Turbulence, coherent structures, dynamical systems and symmetry:
Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures – recurrent patterns – in turbulent flows, it describes mathematical methods that reduce the gover...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
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| Ausgabe: | Second edition |
| Schriftenreihe: | Cambridge monographs on mechanics
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures – recurrent patterns – in turbulent flows, it describes mathematical methods that reduce the governing (Navier–Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995. The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 386 pages) |
| ISBN: | 9780511919701 |
| DOI: | 10.1017/CBO9780511919701 |
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| 505 | 8 | |a Machine generated contents note: Part I. Turbulence: 1. Introduction; 2. Coherent structures; 3. Proper orthogonal decomposition; 4. Galerkin projection; 5. Balanced proper orthogonal decomposition; Part II. Dynamical Systems: 6. Qualitative theory; 7. Symmetry; 8. One-dimensional 'turbulence'; 9. Randomly-perturbed systems; Part III. The Boundary Layer: 10. Low-dimensional models; 11. Behaviour of the models; Part IV. Other Applications and Related Work: 12. Some other fluid problems; 13. Review: prospects for rigor; Index | |
| 520 | |a Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures – recurrent patterns – in turbulent flows, it describes mathematical methods that reduce the governing (Navier–Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995. The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge | ||
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Datensatz im Suchindex
| _version_ | 1804176881398841344 |
|---|---|
| any_adam_object | |
| author | Holmes, Philip 1945- |
| author_facet | Holmes, Philip 1945- |
| author_role | aut |
| author_sort | Holmes, Philip 1945- |
| author_variant | p h ph |
| building | Verbundindex |
| bvnumber | BV043940628 |
| classification_rvk | UF 4300 UG 3900 |
| collection | ZDB-20-CBO |
| contents | Machine generated contents note: Part I. Turbulence: 1. Introduction; 2. Coherent structures; 3. Proper orthogonal decomposition; 4. Galerkin projection; 5. Balanced proper orthogonal decomposition; Part II. Dynamical Systems: 6. Qualitative theory; 7. Symmetry; 8. One-dimensional 'turbulence'; 9. Randomly-perturbed systems; Part III. The Boundary Layer: 10. Low-dimensional models; 11. Behaviour of the models; Part IV. Other Applications and Related Work: 12. Some other fluid problems; 13. Review: prospects for rigor; Index |
| ctrlnum | (ZDB-20-CBO)CR9780511919701 (OCoLC)786132600 (DE-599)BVBBV043940628 |
| dewey-full | 532/.0527 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.0527 |
| dewey-search | 532/.0527 |
| dewey-sort | 3532 3527 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511919701 |
| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV043940628 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511919701 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349598 |
| oclc_num | 786132600 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 386 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on mechanics |
| spelling | Holmes, Philip 1945- Verfasser aut Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes [and three others] Turbulence, Coherent Structures, Dynamical Systems & Symmetry Second edition Cambridge Cambridge University Press 2012 1 online resource (xvi, 386 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on mechanics Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: Part I. Turbulence: 1. Introduction; 2. Coherent structures; 3. Proper orthogonal decomposition; 4. Galerkin projection; 5. Balanced proper orthogonal decomposition; Part II. Dynamical Systems: 6. Qualitative theory; 7. Symmetry; 8. One-dimensional 'turbulence'; 9. Randomly-perturbed systems; Part III. The Boundary Layer: 10. Low-dimensional models; 11. Behaviour of the models; Part IV. Other Applications and Related Work: 12. Some other fluid problems; 13. Review: prospects for rigor; Index Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures – recurrent patterns – in turbulent flows, it describes mathematical methods that reduce the governing (Navier–Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995. The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge Turbulence Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Kohärenz (DE-588)4139923-7 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Kohärenz (DE-588)4139923-7 s Dynamisches System (DE-588)4013396-5 s Symmetrie (DE-588)4058724-1 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s 2\p DE-604 Erscheint auch als Druckausgabe 978-1-107-00825-0 https://doi.org/10.1017/CBO9780511919701 Verlag URL des Erstveröffentlichers 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 | Holmes, Philip 1945- Turbulence, coherent structures, dynamical systems and symmetry Machine generated contents note: Part I. Turbulence: 1. Introduction; 2. Coherent structures; 3. Proper orthogonal decomposition; 4. Galerkin projection; 5. Balanced proper orthogonal decomposition; Part II. Dynamical Systems: 6. Qualitative theory; 7. Symmetry; 8. One-dimensional 'turbulence'; 9. Randomly-perturbed systems; Part III. The Boundary Layer: 10. Low-dimensional models; 11. Behaviour of the models; Part IV. Other Applications and Related Work: 12. Some other fluid problems; 13. Review: prospects for rigor; Index Turbulence Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd Mathematische Methode (DE-588)4155620-3 gnd Symmetrie (DE-588)4058724-1 gnd Kohärenz (DE-588)4139923-7 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4155620-3 (DE-588)4058724-1 (DE-588)4139923-7 (DE-588)4137931-7 (DE-588)4117265-6 |
| title | Turbulence, coherent structures, dynamical systems and symmetry |
| title_alt | Turbulence, Coherent Structures, Dynamical Systems & Symmetry |
| title_auth | Turbulence, coherent structures, dynamical systems and symmetry |
| title_exact_search | Turbulence, coherent structures, dynamical systems and symmetry |
| title_full | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes [and three others] |
| title_fullStr | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes [and three others] |
| title_full_unstemmed | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes [and three others] |
| title_short | Turbulence, coherent structures, dynamical systems and symmetry |
| title_sort | turbulence coherent structures dynamical systems and symmetry |
| topic | Turbulence Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd Mathematische Methode (DE-588)4155620-3 gnd Symmetrie (DE-588)4058724-1 gnd Kohärenz (DE-588)4139923-7 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd |
| topic_facet | Turbulence Differentiable dynamical systems Dynamisches System Mathematische Methode Symmetrie Kohärenz Differenzierbares dynamisches System Turbulente Strömung |
| url | https://doi.org/10.1017/CBO9780511919701 |
| work_keys_str_mv | AT holmesphilip turbulencecoherentstructuresdynamicalsystemsandsymmetry AT holmesphilip turbulencecoherentstructuresdynamicalsystemssymmetry |