Numerical Study of Interaction of Vortex Structures in Plasmas and Fluids

Numerical Study of Interaction of Vortex Structures in Plasmas and Fluids PDF Author: V. Yu Belashov
Publisher:
ISBN:
Category :
Languages : en
Pages : 2

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Book Description
The results of numerical study of evolution and interaction of the vortex structures in the continuum, and, specifically, in plasmas and fluids in the 2D approach, when the Euler-type equations are valid, are presented. The set of the model equations e(sub i)d(sub l)x(sub i)= partial derivative(sub yi) H/B, e(sub i)d(sub l)y(sub i)= -partial derivative(sub xi) H/B, partial derivative(sub t) rho-v xDELTA rho=0, v=-(ZETAxDELTA psi)/BETA, DELTA psi = -rho describing the a continuum or quasi-particles with Coulomb interaction models, where rho is a vorticity or charge density and psi is a stream function or potential for inviscid fluid and guiding-centre plasma, respectively, and ETA is a Hamiltonian, was considered. For numerical simulation the CD method specially modified was used. in terms of vortex motion of fluids the results of numerical experiments, specifically, showed that for some conditions the interaction of vortexes in continuum may be nontrivial and, as for the "classic" FAVRs, lead to formation of complex forms of vorticity regions, for example, the vorticity filaments and sheets, and also can ended to formation of the turbulent field. The undertaken approach may be effective in studying of the atmospheric and Alfven vortex dynamics, and also useful for the interpretation of effects associated with turbulent processes in fluids and plasmas.

Numerical Study of Interaction of Vortex Structures in Plasmas and Fluids

Numerical Study of Interaction of Vortex Structures in Plasmas and Fluids PDF Author: V. Yu Belashov
Publisher:
ISBN:
Category :
Languages : en
Pages : 2

Get Book Here

Book Description
The results of numerical study of evolution and interaction of the vortex structures in the continuum, and, specifically, in plasmas and fluids in the 2D approach, when the Euler-type equations are valid, are presented. The set of the model equations e(sub i)d(sub l)x(sub i)= partial derivative(sub yi) H/B, e(sub i)d(sub l)y(sub i)= -partial derivative(sub xi) H/B, partial derivative(sub t) rho-v xDELTA rho=0, v=-(ZETAxDELTA psi)/BETA, DELTA psi = -rho describing the a continuum or quasi-particles with Coulomb interaction models, where rho is a vorticity or charge density and psi is a stream function or potential for inviscid fluid and guiding-centre plasma, respectively, and ETA is a Hamiltonian, was considered. For numerical simulation the CD method specially modified was used. in terms of vortex motion of fluids the results of numerical experiments, specifically, showed that for some conditions the interaction of vortexes in continuum may be nontrivial and, as for the "classic" FAVRs, lead to formation of complex forms of vorticity regions, for example, the vorticity filaments and sheets, and also can ended to formation of the turbulent field. The undertaken approach may be effective in studying of the atmospheric and Alfven vortex dynamics, and also useful for the interpretation of effects associated with turbulent processes in fluids and plasmas.

Coherent Vortex Structures in Fluids and Plasmas

Coherent Vortex Structures in Fluids and Plasmas PDF Author: Anatoli Tur
Publisher: Springer
ISBN: 3319527339
Category : Science
Languages : en
Pages : 313

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Book Description
This monograph introduces readers to the hydrodynamics of vortex formation, and reviews the last decade of active research in the field, offering a unique focus on research topics at the crossroads of traditional fluids and plasmas. Vortices are responsible for the process of macroscopic transport of momentum, energy and mass, and are formed as the result of spontaneous self-organization. Playing an important role in nature and technology, localized, coherent vortices are regularly observed in shear flows, submerged jets, afterbody flows and in atmospheric boundary layers, sometimes taking on the form of vortex streets. In addition, the book addresses a number of open issues, including but not limited to: which singularities are permitted in a 2D Euler equation besides point vortices? Which other, even more complex, localized vortices could be contained in the Euler equation? How do point vortices interact with potential waves?

Lecture Notes On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media

Lecture Notes On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media PDF Author: Horst Punzmann
Publisher: World Scientific
ISBN: 981447844X
Category : Science
Languages : en
Pages : 397

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Book Description
This book is based on the lectures delivered at the 19th Canberra International Physics Summer School held at the Australian National University in Canberra (Australia) in January 2006.The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc. Modern studies in turbulence and coherent structures are based on a variety of theoretical concepts, numerical simulation techniques and experimental methods, which cannot be reviewed effectively by a single expert.The main goal of these lecture notes is to introduce state-of-the-art turbulence research in a variety of approaches (theoretical, numerical simulations and experiments) and applications (fluids, plasmas, geophysics, nonlinear optical media) by several experts. A smooth introduction is presented to readers who are not familiar with the field, while reviewing the most recent advances in the area. This collection of lectures will provide a useful review for both postgraduate students and researchers new to the advancements in this field, as well as specialists seeking to expand their knowledge across different areas of turbulence research.

Vortex Flows and Related Numerical Methods

Vortex Flows and Related Numerical Methods PDF Author: J.T. Beale
Publisher: Springer Science & Business Media
ISBN: 9401581371
Category : Technology & Engineering
Languages : en
Pages : 385

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Book Description
Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.

Introduction to Vortex Filaments in Equilibrium

Introduction to Vortex Filaments in Equilibrium PDF Author: Timothy D. Andersen
Publisher: Springer
ISBN: 1493919385
Category : Computers
Languages : en
Pages : 146

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Book Description
This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.

Fluid Vortices

Fluid Vortices PDF Author: Sheldon Green
Publisher: Springer Science & Business Media
ISBN: 940110249X
Category : Technology & Engineering
Languages : en
Pages : 905

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Book Description
Fluid Vortices is a comprehensive, up-to-date, research-level overview covering all salient flows in which fluid vortices play a significant role. The various chapters have been written by specialists from North America, Europe and Asia, making for unsurpassed depth and breadth of coverage. Topics addressed include fundamental vortex flows (mixing layer vortices, vortex rings, wake vortices, vortex stability, etc.), industrial and environmental vortex flows (aero-propulsion system vortices, vortex-structure interaction, atmospheric vortices, computational methods with vortices, etc.), and multiphase vortex flows (free-surface effects, vortex cavitation, and bubble and particle interactions with vortices). The book can also be recommended as an advanced graduate-level supplementary textbook. The first nine chapters of the book are suitable for a one-term course; chapters 10--19 form the basis for a second one-term course.

Proceedings of 22nd International Conference on Graphene, Carbon Nanotubes and Nanostructures 2018

Proceedings of 22nd International Conference on Graphene, Carbon Nanotubes and Nanostructures 2018 PDF Author: ConferenceSeries
Publisher: ConferenceSeries
ISBN:
Category : Science
Languages : en
Pages : 114

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Book Description
September 17-18, 2018 Berlin, Germany Key Topics : Graphene Modification and Functionalization, Graphene Synthesis, Applications of Carbon in Energy, Graphene and 2D Materials based Nanocomposites, Emerging Trends in the field of Graphene Nano, Carbon nanotubes and graphene, Semiconductor Materials and Nanostructures, Graphene-like 2D materials, Graphene nano In Energy and Storage, Carbon nano chips and nanostructures,

Proceedings of 5th International Conference on Theoretical and Applied Physics 2018

Proceedings of 5th International Conference on Theoretical and Applied Physics 2018 PDF Author: ConferenceSeries
Publisher: ConferenceSeries
ISBN:
Category :
Languages : en
Pages : 88

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Book Description
July 02-03, 2018 Vienna, Austria. Key Topics: Lasers and OpticsComputational PhysicsMany Body Physics Medical Physics and BiophysicsBiophotonicsNanophotonics and Nano DevicesGrapheneSolid State PhysicsSemiconductor DevicesSpintronicsSuperconductivityPlasma Physics AstrophysicsParticle PhysicsTheory Of RelativityQuantum Field TheoryExperimental PhysicsTheoretical PhysicsMagnetism

Numerical Study on Cut-and-connect of Three Dimensional Vortex Tubes

Numerical Study on Cut-and-connect of Three Dimensional Vortex Tubes PDF Author: H. L. Chen
Publisher:
ISBN:
Category : Vortex motion
Languages : en
Pages : 68

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Book Description
In the present study, generation of two vortex rings and their cut-and-connect process were numerically simulated by solving three-dimensional and time-dependent Navier-Stokes equations, under conditions similar to the laboratory experiment. In order to explain the mechanism of cut-and-connect, velocity, vorticity, pressure, helicity density and energy dissipation were examined for the flow field of the cut-and-connect of vortex rings. The present study revealed that energy dissipation is an essential process for circulation cancellation during vortex tubes cutting. Based on this energy dissipation mechanism, it is concluded that the cut-and-connect of vortex tubes may occur in the limit of inviscid flows. This conclusion is particularly important to the three-dimensional discrete vortex method for computing high Reynolds number flows. Features of helicity in the three-dimensional flow field of cut-and-connect process of vortex tubes were also investigated. The relation between the helicity density and the energy dissipation function in the three-dimensional flow field was examined.

Vortex Dominated Flows: A Volume Celebrating Lu Ting's 80th Birthday

Vortex Dominated Flows: A Volume Celebrating Lu Ting's 80th Birthday PDF Author: Denis Blackmore
Publisher: World Scientific
ISBN: 9814480452
Category : Science
Languages : en
Pages : 299

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Book Description
Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena.The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective.Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled “Periodic vibrations of systems governed by nonlinear partial differential equations”, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems.