Mathematics Of Two Dimensional Turbulence
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Mathematics Of Two Dimensional Turbulence
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Author : Professor Sergei Kuksin
language : en
Publisher:
Release Date : 2014-05-14
Mathematics Of Two Dimensional Turbulence written by Professor Sergei Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Hydrodynamics categories.
Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.
Mathematics Of Two Dimensional Turbulence Miscellanies
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Author : Sergej B. Kuksin
language : en
Publisher:
Release Date : 2012
Mathematics Of Two Dimensional Turbulence Miscellanies written by Sergej B. Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electronic book categories.
"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Mathematics Of Two Dimensional Turbulence Solutions To Some Exercises
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Author : Sergej B. Kuksin
language : en
Publisher:
Release Date : 2012
Mathematics Of Two Dimensional Turbulence Solutions To Some Exercises written by Sergej B. Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electronic book categories.
"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Mathematics Of Two Dimensional Turbulence Appendix
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Author : Sergej B. Kuksin
language : en
Publisher:
Release Date : 2012
Mathematics Of Two Dimensional Turbulence Appendix written by Sergej B. Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electronic book categories.
"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Mathematics Of Two Dimensional Turbulence
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Author : Sergej B. Kuksin
language : en
Publisher:
Release Date : 2012
Mathematics Of Two Dimensional Turbulence written by Sergej B. Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Hydrodynamics categories.
"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Mathematics Of Two Dimensional Turbulence Inviscid Limit
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Author : Sergej B. Kuksin
language : en
Publisher:
Release Date : 2012
Mathematics Of Two Dimensional Turbulence Inviscid Limit written by Sergej B. Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electronic book categories.
"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Numerical Studies In Two Dimensional Turbulence
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Author : Fayeza Salim Sulti
language : en
Publisher:
Release Date : 2012
Numerical Studies In Two Dimensional Turbulence written by Fayeza Salim Sulti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Two-dimensional turbulence has been extensively studied over the past years theoretically and numerically since the theory of the dual cascade energy. Numerical studies have revealed an impor- tant feature of two-dimensional turbulence, that is, the predomi- nance of coherent structures, followed by interaction and merger of these isolated vortices in the subsequent evolution. A method of 'vortex census' has been introduced to keep track of the vortices but the relation to reconnection has remained unexplored. In this Thesis, we study the reconnection process of vorticity con- tours associated with coherent vortices in two-dimensional turbu- lence for different Reynolds number. After checking topological integrity by the Euler index theorem, we make use of the critical points and their connectivity (so-called surface networks) to study the topological changes of vorticity contours. Wc show how this method can remarkably distinguish the dynamics of the vortic- ity field in the Navier-Stokes equations and that of the Charney- Hasegawa-Mima equation. We found that the potential vorticity formed vortex crystals. This excites us to study the vortex crystal in details by study a coarse-grained asymptotic equation [Smirnov and Chukbar(2001)]. Self-similar blow-up solutions with an infi- 1 I i :. nite total energy were given. We ask whether or not finite-time blow-up can take place developing from smooth initial data with a finite energy.
Numerical Studies In Two Dimensional Turbulence
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Author : Fayeza Salim Al Sulti
language : en
Publisher:
Release Date : 2013
Numerical Studies In Two Dimensional Turbulence written by Fayeza Salim Al Sulti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Mathematics Of Two Dimensional Turbulence
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Author : Sergej B. Kuksin
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-20
Mathematics Of Two Dimensional Turbulence written by Sergej B. Kuksin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Mathematics categories.
Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.
Turbulence And Coherent Structures
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Author : O. Métais
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Turbulence And Coherent Structures written by O. Métais and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
In the last 25 years, one of the most striking advances in Fluid Mecha nics was certainly the discovery of coherent structures in turbulence: lab oratory experiments and numerical simulations have shown that most turbulent flows exhibit both spatially-organized large-scale structures and disorganized motions, generally at smaller scales. The develop ment of new measurement and visualization techniques have allowed a more precise characterization and investigation of these structures in the laboratory. Thanks to the unprecedented increase of computer power and to the development of efficient interactive three-dimensional colour graphics, computational fluid dynamicists can explore the still myste rious world of turbulence. However, many problems remain unsolved concerning the origin of these structures, their dynamics, and their in teraction with the disorganized motions. In this book will be found the latest results of experimentalists, theoreticians and numerical modellers interested in these topics. These coherent structures may appear on airplane wings or slender bodies, mixing layers, jets, wakes or boundary-layers. In free-shear flows and in boundary layers, the results presented here highlight the intense three-dimensional character of the vortices. The two-dimensional large scale eddies are very sensitive to three-dimensional perturbations, whose amplification leads to the formation of three-dimensional coherent vorti cal structures, such as streamwise, hairpin or horseshoe vortex filaments. This book focuses on modern aspects of turbulence study. Relations between turbulence theory and optimal control theory in mathematics are discussed. This may have important applications with regard to, e. g. , numerical weather forecasting.