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Author: Sergej B. Kuksin
Publisher: Cambridge University Press
Published: 2012-09-20
Total Pages: 337
ISBN-13: 1107022827
DOWNLOAD EBOOK →Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.
Author: Malcolm Roberts
Publisher: Malcolm Roberts
Published: 2011
Total Pages: 194
ISBN-13:
DOWNLOAD EBOOK →Author: Sergej B. Kuksin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781139579575
DOWNLOAD EBOOK →"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"--
Author: C. Foias
Publisher: Cambridge University Press
Published: 2001-08-27
Total Pages: 363
ISBN-13: 1139428993
DOWNLOAD EBOOK →This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.
Author: Fayeza Salim Sulti
Publisher:
Published: 2012
Total Pages:
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Albert Gyr
Publisher: Springer Science & Business Media
Published: 1999-08-01
Total Pages: 498
ISBN-13: 9783764361501
DOWNLOAD EBOOK →A collection of contributions on a variety of mathematical, physical and engineering subjects related to turbulence. Topics include mathematical issues, control and related problems, observational aspects, two- and quasi-two-dimensional flows, basic aspects of turbulence modeling, statistical issues and passive scalars.
Author: T. Dracos
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 409
ISBN-13: 3034885857
DOWNLOAD EBOOK →This book contains the proceedings of a colloquium held in Monte Verit from September 9-13, 1991. Special care has been taken to devote adequate space to the scientific discussions, which claimed about half of the time available. Scientists from all over the world presented their views on the importance of kinematic properties, topology and fractal geometry, and on the dynamic behaviour of turbulent flows. They debated the importance of coherent structures and the possibility to incorporate these in the statistical theory of turbulence, as well as their significance for the reduction of the degrees of freedom and the prospective of dynamical systems and chaos approaches to the problem of turbulence. Also under discussion was the relevance of these new approaches to the study of the instability and the origin of turbulence, and the importance of numerical and physical experiments in improving the understanding of turbulence.
Author: Melville Calvin Mosher
Publisher:
Published: 1979
Total Pages: 104
ISBN-13:
DOWNLOAD EBOOK →Author: O. M. Belotserkovskii
Publisher: Cambridge Int Science Publishing
Published: 2005
Total Pages: 294
ISBN-13: 1904602223
DOWNLOAD EBOOK →The authors present the results of numerical experiments carried out to examine the problem of development of turbulence and convection. On the basis of the results, they propose a physical model of the development of turbulence. Numerical algorithms and difference schema for carrying out numerical experiments in hydrodynamics, are proposed. Original algorithms, suitable for calculation of the development of the processes of turbulence and convection in different conditions, even on astrophysical objects, are presented. The results of numerical modelling of several important phenomena having both fundamental and applied importance are described.
