Numerical Studies In Two Dimensional Turbulence PDF Download
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Author | : Fayeza Salim Sulti |
Publisher | : |
Total Pages | : |
Release | : 2012 |
Genre | : |
ISBN | : |
Download Numerical Studies in Two-dimensional Turbulence Book in PDF, ePub and Kindle
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 | : Fayeza Salim Al Sulti |
Publisher | : |
Total Pages | : 0 |
Release | : 2013 |
Genre | : |
ISBN | : |
Download Numerical Studies in Two-dimensional Turbulence Book in PDF, ePub and Kindle
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 145 |
Release | : 1991-02-01 |
Genre | : Technology & Engineering |
ISBN | : 0309046483 |
Download Research Directions in Computational Mechanics Book in PDF, ePub and Kindle
Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.
Author | : Sergei Kuksin |
Publisher | : Cambridge University Press |
Total Pages | : 337 |
Release | : 2012-09-20 |
Genre | : Mathematics |
ISBN | : 113957695X |
Download Mathematics of Two-Dimensional Turbulence Book in PDF, ePub and Kindle
This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, independent of initial data. They use this to study ergodic properties of u(t,x) – proving, in particular, that observables f(u(t,.)) satisfy the strong law of large numbers and central limit theorem. They also discuss the inviscid limit when viscosity goes to zero, normalising the force so that the energy of solutions stays constant, while their Reynolds numbers grow to infinity. They show that then the statistical equilibria converge to invariant measures of the 2D Euler equation and study these measures. The methods apply to other nonlinear PDEs perturbed by random forces.
Author | : Anthony Daniel Kowalski |
Publisher | : |
Total Pages | : 248 |
Release | : 1980 |
Genre | : Dispersion |
ISBN | : |
Download Numerical Studies of Dispersion Processes in Two-dimensional, Homogeneous, Decaying Turbulence Book in PDF, ePub and Kindle
Author | : National Aeronautics and Space Administration (NASA) |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 34 |
Release | : 2018-08-13 |
Genre | : |
ISBN | : 9781725106895 |
Download Numerical Studies of Laminar and Turbulent Drag Reduction Book in PDF, ePub and Kindle
Two-dimensional incompressible flow over wavy surfaces is studied numerically by spectral methods. Turbulence effects are modeled. Results for symmetric and asymmetric wave forms are presented. Effect of propagating surface waves on drag reduction is studied. Comparisons between computer simulations and experimental results are made. Balasubramanian, R. and Orszag, S. A. Unspecified Center NASA-CR-3498, CHI-57 NAS1-16237...
Author | : John Cannon |
Publisher | : CRC Press |
Total Pages | : 209 |
Release | : 2006-06-15 |
Genre | : Mathematics |
ISBN | : 1420014978 |
Download Mathematical and Physical Theory of Turbulence, Volume 250 Book in PDF, ePub and Kindle
Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together ex
Author | : Yeshajahu Unger |
Publisher | : AIAA |
Total Pages | : 386 |
Release | : 1993 |
Genre | : Turbulence |
ISBN | : 9781600864032 |
Download Advances in Turbulence Studies Book in PDF, ePub and Kindle
Author | : Y. Kaneda |
Publisher | : Springer Science & Business Media |
Total Pages | : 409 |
Release | : 2013-03-09 |
Genre | : Technology & Engineering |
ISBN | : 4431670025 |
Download Statistical Theories and Computational Approaches to Turbulence Book in PDF, ePub and Kindle
This volume contains the papers presented at the workshop on Statistical The ories and Computational Approaches to Turbulence: Modern Perspectives and Applications to Global-Scale Flows, held October 10-13, 2001, at Nagoya Uni versity, Nagoya, Japan. Because of recent developments in computational capabilities, the compu tational approach is showing the potential to resolve a much wider range of length and time scales in turbulent physical systems. Nevertheless, even with the largest supercomputers of the foreseeable future, development of adequate modeling techniques for at least some scales of motion will be necessary for practical computations of important problems such as weather forecasting and the prediction and control of global pollution. The more powerful the available machines become, the more demand there will be for precise prediction of the systems. This means that more precise and reliable knowledge of the underlying dynamics will become important, and that more efficient and precise numerical methods best adapted to the new generation of computers will be necessary. The understanding of the nature of unresolved scales then will playa key role in the modeling of turbulent motion. The challenge to turbulence theory here is to elucidate the physics or dynamics of those scales, in particular their sta tistical aspects, and thereby develop models on sound bases to reduce modeling ambiguity. The challenge to the computational method is to develop efficient algorithms suitable for the problems, the machines, and the developed models.
Author | : W. Rodi |
Publisher | : Elsevier |
Total Pages | : 1029 |
Release | : 2002-08-21 |
Genre | : Mathematics |
ISBN | : 008053094X |
Download Engineering Turbulence Modelling and Experiments 5 Book in PDF, ePub and Kindle
Turbulence is one of the key issues in tackling engineering flow problems. As powerful computers and accurate numerical methods are now available for solving the flow equations, and since engineering applications nearly always involve turbulence effects, the reliability of CFD analysis depends increasingly on the performance of the turbulence models. This series of symposia provides a forum for presenting and discussing new developments in the area of turbulence modelling and measurements, with particular emphasis on engineering-related problems. The papers in this set of proceedings were presented at the 5th International Symposium on Engineering Turbulence Modelling and Measurements in September 2002. They look at a variety of areas, including: Turbulence modelling; Direct and large-eddy simulations; Applications of turbulence models; Experimental studies; Transition; Turbulence control; Aerodynamic flow; Aero-acoustics; Turbomachinery flows; Heat transfer; Combustion systems; Two-phase flows. These papers are preceded by a section containing 6 invited papers covering various aspects of turbulence modelling and simulation as well as their practical application, combustion modelling and particle-image velocimetry.