Vortex Dynamics and Vortex Methods

Vortex Dynamics and Vortex Methods

Evolution of a Curved Vortex Filament into a Vortex Ring . Phys . Fluids . , 29 ( 4 ) : 955–963 , 1985 . [ 5 ] T.B. Smith and K.M. Beesmer .

Author: Christopher Radcliff Anderson

Publisher: American Mathematical Soc.

ISBN: 0821896962

Category: Science

Page: 751

View: 635

Understanding vortex dynamics is the key to understanding much of fluid dynamics. For this reason, many researchers, using a great variety of different approaches--analytical, computational, and experimental--have studied the dynamics of vorticity. The AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods, held in June 1990 at the University of Washington in Seattle, brought together experts with a broad range of viewpoints and areas of specialization. This volume contains the proceedings from that seminar. The focus here is on the numerical computation of high Reynolds number incompressible flows. Also included is a smaller selection of important experimental results and analytic treatments. Many of the articles contain valuable introductory and survey material as well as open problems. Readers will appreciate this volume for its coverage of a wide variety of numerical, analytical, and experimental tools and for its treatment of interesting important discoveries made with these tools.
Categories: Science

Vortex Methods and Vortex Motion

Vortex Methods and Vortex Motion

P. MOIN, A. LEONARD, AND J. KIM, Evolution of a curved vortex filament into a vortex ring, Phys. Fluids, 29 (1986), pp. 955–963.

Author: Karl E. Gustafson

Publisher: SIAM

ISBN: 9780898712582

Category: Science

Page: 212

View: 343

Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion.
Categories: Science

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports

... evolution of ring- and helix - dominated jets by means of vortex filament ... The curvature of the jet shear layer leads to a loss of symmetry and the ...

Author:

Publisher:

ISBN: STANFORD:36105009015814

Category: Aeronautics

Page:

View: 980

Categories: Aeronautics

Computational Fluid Dynamics 2000

Computational Fluid Dynamics 2000

Proceedings of the First International Conference on Computational Fluid Dynamics, ... Evolution of a curved of a filament into a vortex ring , Phys .

Author: Nobuyuki Satofuka

Publisher: Springer Science & Business Media

ISBN: 3540414592

Category: Mathematics

Page: 810

View: 593

These proceedings contain a selection of refereed contributions as a source of reference for all those interested in the state of the art in computational fluid dynamics. The conference brings together physicists, mathematicians and engineers to review and share recent advances in the field.
Categories: Mathematics

Vorticity and Turbulence

Vorticity and Turbulence

P. Marcus, “Vortex dynamics in a shearing zonal flow”, J. Fluid Mech. ... “Evolution of a curved vortex filament into a vortex ring”, Phys.

Author: Alexandre J. Chorin

Publisher: Springer Science & Business Media

ISBN: 9781441987280

Category: Mathematics

Page: 176

View: 422

This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.
Categories: Mathematics

P. Marcus , “ Vortex dynamics in a shearing zonal flow ” , J. Fluid Mech . ... “ Evolution of a curved vortex filament into a vortex ring ” , Phys .

Author: 肖兰

Publisher: 清华大学出版社有限公司

ISBN: 730210204X

Category: Fluid mechanics

Page: 174

View: 620

Categories: Fluid mechanics

Advances in Fluid Mechanics XII

Advances in Fluid Mechanics XII

These regions often correspond to the periphery of the hairpin packets. ... Leonard, A. & Kim, J., Evolution of a curved vortex filament into a vortex ring.

Author: S. Hernández

Publisher: WIT Press

ISBN: 9781784662875

Category: Science

Page: 322

View: 856

Containing papers from the 12th International Conference on Advances in Fluid Mechanics, this book covers a wide range of topics including basic formulations and their computer modelling as well as the relationship between experimental and analytical results. The emphasis is on new applications and research currently in progress. The field of fluid mechanics is vast and has numerous and diverse applications. The contained research works discuss new studies in fluid mechanics and present the latest applications in the field. A wide range of topics are covered including, Computational methods; Boundary elements and other mesh reduction methods; Fluid structure interaction; Cooling of electronic devices; Environmental fluid dynamics; Industrial applications; Energy systems; Nano and micro fluids; Turbulent and complex flows; Jets; Droplet and spray dynamics; Bubble dynamics; Multiphase fluid flow; Pumping and fluid transportation; Experimental measurements; Rheology; Chemical reaction flow; Hydroelectromagnetic flow; High speed flow; Wave theory; Energy conversion systems.
Categories: Science

Liutex and Its Applications in Turbulence Research

Liutex and Its Applications in Turbulence Research

Reproduced from P. Moin, A. Leonard, J. Kim, Evolution of curved vortex filament into a vortex ring, Phys. Fluids 29 (4), 1986, with the permission of AIP ...

Author: Chaoqun Liu

Publisher: Academic Press

ISBN: 9780128190241

Category: Science

Page: 458

View: 193

Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and explains their applications in flow transition, turbulent flow, flow control, and turbulent flow experiments. The book explains the term "Rortex" as a mathematically defined rigid rotation of fluids or vortex, which could help solve many longstanding problems in turbulence research. The accurate mathematical definition of the vortex is important in a range of industrial contexts, including aerospace, turbine machinery, combustion, and electronic cooling systems, so there are many areas of research that can benefit from the innovations described here. This book provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence. Important theory and methodologies used for developing these laws are described in detail, including: the classification of the conventional turbulent boundary layer concept based on proper velocity scaling; the methodology for identification of the scales of velocity, temperature, and length needed to establish the law; and the discovery, proof, and strict validations of the laws, with both Reynolds and Prandtl number independency properties using DNS data. The establishment of these statistical laws is important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence. Provides an accurate mathematical definition of vortices Provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence Explains the term “Rortex as a mathematically defined rigid rotation of fluids or vortex Covers the statistical laws important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence
Categories: Science

Transition and Turbulence Control

Transition and Turbulence Control

P. Moin, A. Leonard and J. Kim, Evolution of a curved vortex filament into a vortex ring, Phys. Fluids 29 (1986) 955–963. M. V. Morkovin, On the many faces ...

Author: Mohamed Gad-el-Hak

Publisher: World Scientific

ISBN: 9789812700896

Category: Science

Page: 426

View: 521

This volume contains articles based on lectures given at the Workshop on Transition and Turbulence Control, hosted by the Institute for Mathematical Sciences, National University of Singapore, 8OCo10 December 2004. The lecturers included 13 of the worldOCOs foremost experts in the control of transitioning and turbulent flows. The chapters cover a wide range of subjects in the broad area of flow control, and will be useful to researchers working in this area in academia, government laboratories and industry. The coverage includes control theory, passive, active and reactive methods for controlling transitional and turbulent wall-bounded flows, noise suppression and mixing enhancement of supersonic turbulent jets, compliant coatings, modern flow diagnostic systems, and swept wing instabilities."
Categories: Science

New Perspectives in Fluid Dynamics

New Perspectives in Fluid Dynamics

Liu, C., Chen, L., Lu, P., Liu, X. Study on multiple ring-like vortex formation and ... A. Kim, J. Evolution of curved vortex filament into a vortex ring.

Author: Chaoqun Liu

Publisher: BoD – Books on Demand

ISBN: 9789535122289

Category: Science

Page: 134

View: 391

This book contains five chapters detailing significant advances in and applications of new turbulence theory and fluid dynamics modeling with a focus on wave propagation from arbitrary depths to shallow waters, computational modeling for predicting optical distortions through hypersonic flow fields, wind strokes over highway bridges, optimal crop production in a greenhouse, and technological appliance and performance concerns in wheelchair racing. We hope this book to be a useful resource to scientists and engineers who are interested in the fundamentals and applications of fluid dynamics.
Categories: Science

Recent Results in Laminar Turbulent Transition

Recent Results in Laminar Turbulent Transition

Kachanov Y.S., Ryzhov O.S., Smith F.T. Formation of solitons in ... Moin P., Leonard A. & Kim J. Evolution of a curved vortex filament into a vortex ring.

Author: Siegfried Wagner

Publisher: Springer Science & Business Media

ISBN: 9783540450603

Category: Technology & Engineering

Page: 324

View: 623

The 24 papers presented at the international concluding colloquium of the German priority programme (DFG-Verbundschwerpunktprogramm) "Transition", held in April 2002 in Stuttgart. The unique and successful programme ran six years, starting April 1996, and was sponsored mainly by the Deutsche Forschungsgemeinschaft, DFG, but also by the Deutsches Zentrum für Luft-und Raumfahrt, DLR, the Physikalisch-Technische Bundesanstalt Braunschweig, PTB, and Airbus Deutschland. The papers summarise the results of the programme and cover transition mechanisms, transition prediction, transition control, natural transition and measurement techniques, transition - turbulence - separation, and visualisation issues. Three invited papers are devoted to mechanisms of turbulence production, to a general framework of stability, receptivity and control, and a forcing model for receptivity analysis. Almost every transition topic arising in subsonic and transonic flow is covered.
Categories: Technology & Engineering

High Performance Computing in Science and Engineering 03

High Performance Computing in Science and Engineering    03

Evolution of a curved vortex filament into a vortex ring. Phys. Fluids, 29(4):955–963, 1986. S. A. Orszag. Numerical simulation of incompressible flows ...

Author: Egon Krause

Publisher: Springer Science & Business Media

ISBN: 9783642558764

Category: Mathematics

Page: 478

View: 304

This book presents the state of the art in modeling and simulation on supercomputers. Leading German research groups present their results achieved on high-end systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2003. The reports cover all fields of computational science and engineering ranging from computational fluid dynamics via computational physics and chemistry to computer science. Special emphasis is given to industrially relevant applications. Presenting results for both vector-systems and micro-processor based systems, the book allows the reader to compare performance levels and usability of a variety of supercomputer architectures. In the light of the success of the Japanese Earth-Simulator, this book may serve as a guide book for a US response. The book covers the main methods in high performance computing. Its outstanding results in achieving highest performance for production codes are of particular interest for both the scientist and the engineer. The book comes with a wealth of color illustrations and tables of results.
Categories: Mathematics

Direct and Large Eddy Simulation of Turbulence

Direct and Large Eddy Simulation of Turbulence

199, München, FRG, September 30 to October 2, 1985 NA Schumann Ulrich Schumann, ... A. & KIM, J. Evolution of a curved vortex filament into a vortex ring.

Author: NA Schumann

Publisher: Springer Science & Business Media

ISBN: 9783663001973

Category: Technology & Engineering

Page: 340

View: 879

This volume contains papers presented to a EUROMECH-Colloquium held in Munich, September 30 to October 2, 1985. The Colloquium is number 199 in a series of colloquia inaugurated by the European Mechanics Committee. The meeting was jointly organized by the 'Lehrstuhl fur Stromungsmechanik' at the 'Technische Universitat Munchen' and the 'Institut fur Physik der Atmosphare' of the 'Deutsche Forschungs- und Versuchsanstalt fur Luft- und Raumfahrt' (DFVLR) in Oberpfaffenhofen. 'Direct' and 'large eddy simulation' are terms which denote two closely con nected methods of turbulence research. In a 'direct simulation' (DS), turbu lent motion is simulated by numerically integrating the Navier-Stokes equations in three-dimensional space and as a function of time. Besides ini tial and boundary conditions no physical simplifications are involved. Com puter resources limit the resolution in time and space, though simulations with an order of one million discrete points in space are feasible. The simu lated flow fields can be considered as true realizations of turbulent flow fields and analysed to answer questions on the basic behaviour of turbulence. Direct simulations are valid as long as all the excited scales remain within the band of resolved scales. This means that viscosity must be strong enough to damp out the not resolved scales or the simulation is restricted to a lim ited integration-time interval only. In summary, DS provides a tool to investigate turbulent motions from first principles at least for a finite band of scales.
Categories: Technology & Engineering

Computational Fluid Dynamics 2002

Computational Fluid Dynamics 2002

Proceedings of the Second International Conference on Computational Fluid Dynamics, ICCFD, ... Evolution of a curved of a filament into a vortex ring, Phys.

Author: Steve Armfield

Publisher: Springer Science & Business Media

ISBN: 9783642593345

Category: Science

Page: 826

View: 490

We are pleased to present the Proceedings of the Second International Conference on Computational Fluid Dynamics held at the University of Sydney, Australia, from July 15 to 19, 2002. The conference was a productive meeting of scientists, mathematicians and engineers involved in the computation of fluid flow. Keynote lectures were presented in the areas of optimisation, algorithms, turbulence and bio-fluid mechanics. Two hundred and fifty abstracts from many countries were received for con sideration. The executive committee, consisting of A. Lerat, M. Napolitano, J.J. Chattot, N. Satofuka and myself, were responsible for the selection of papers. Each of the members had a separate subcommittee to carry out the evaluation. One hundred and seventy papers were selected of which one hundred and fifty two were presented at the conference. All papers that appear in the proceedings have been peer reviewed by a panel of experts (with a minimum of two for every paper) before publication. The conference was attended by 160 delegates with a minimum of late with drawals. The informal and friendly atmosphere provided by the university sur roundings was highly appreciated, and the technical aspects of the conference were stimulating. It is appropriate here to thank Alain Lerat, the retiring secretary of the international scientific committee of the conference. We also wish to welcome J. J. Chattot who is the incoming secretary.
Categories: Science

Studies in Turbulence

Studies in Turbulence

In Turbulence Management and Relaminarisation, ed. by Liepman, ... Leonard, A. & Kim, J., 1986, Evolution of a curved vortex filament into a vortex ring.

Author: Thomas B. Gatski

Publisher: Springer Science & Business Media

ISBN: 9781461227922

Category: Science

Page: 602

View: 117

This book contains contributions by former students, colleagues and friends of Professor John L. Lumley, on the occasion of his 60th birthday, in recognition of his enormous impact on the advancement of turbulence research. A variety of experimental, computational and theoretical topics, including turbulence modeling, direct numerical simulations, compressible turbulence, turbulent shear flows, coherent structures and the Proper Orthogonal Decomposition are contained herein. The diversity and scope of these contributions are further acknowledgment of John Lumley's wide ranging influence in the field of turbulence. The large number of contributions by the authors, many of whom were participants in The Lumley Symposium: Recent Developments in Turbulence (held at ICASE, NASA Langley Research Center on November 12 & 13, 1990), has presented us with the unique opportu nity to select a few numerical and theoretical papers for inclusion in the journal Theoretical and Computational Fluid Dynamics for which Professor Lumley serves as Editor. Extended Abstracts of these pa pers are included in this volume and are appropriately marked. The special issue of TCFD will appear this year and will serve as an additional tribute to John Lumley. As is usually the case, the efforts of others have significantly eased our tasks. We would like to express our deep appreciation to Drs. R.
Categories: Science

Direct and Large Eddy Simulation I

Direct and Large Eddy Simulation I

Moin , P. , Leonard , A. and Kim , J. , Evolution of a curved vortex filament into a vortex ring . Phys . Fluids 29 ( 4 ) ( 1986 ) 955-963 . 15.

Author: Peter R. Voke

Publisher: Springer Science & Business Media

ISBN: 0792331060

Category: Technology & Engineering

Page: 434

View: 262

It is a truism that turbulence is an unsolved problem, whether in scientific, engin eering or geophysical terms. It is strange that this remains largely the case even though we now know how to solve directly, with the help of sufficiently large and powerful computers, accurate approximations to the equations that govern tur bulent flows. The problem lies not with our numerical approximations but with the size of the computational task and the complexity of the solutions we gen erate, which match the complexity of real turbulence precisely in so far as the computations mimic the real flows. The fact that we can now solve some turbu lence in this limited sense is nevertheless an enormous step towards the goal of full understanding. Direct and large-eddy simulations are these numerical solutions of turbulence. They reproduce with remarkable fidelity the statistical, structural and dynamical properties of physical turbulent and transitional flows, though since the simula tions are necessarily time-dependent and three-dimensional they demand the most advanced computer resources at our disposal. The numerical techniques vary from accurate spectral methods and high-order finite differences to simple finite-volume algorithms derived on the principle of embedding fundamental conservation prop erties in the numerical operations. Genuine direct simulations resolve all the fluid motions fully, and require the highest practical accuracy in their numerical and temporal discretisation. Such simulations have the virtue of great fidelity when carried out carefully, and repre sent a most powerful tool for investigating the processes of transition to turbulence.
Categories: Technology & Engineering

Alternative Energies

Alternative Energies

Updates on Progress Germán Ferreira ... Wiley, New York (2000) Moin, P., Leonard, A., Kim, J.: Evolution of a curved vortex filament into a vortex ring.

Author: Germán Ferreira

Publisher: Springer Science & Business Media

ISBN: 9783642406805

Category: Science

Page: 287

View: 880

This book presents nine chapters based on fundamental and applied research of alternative energies. At the present time, the challenge is that technology has to come up with solutions that can provide environmentally friendly energy supply options that are able to cover the current world energy demand. Experts around the world are working on these issues for providing new solutions that will break the existing technological barriers. This book aims to address key pillars in the alternative energy field, such as: biomass energy, hydrogen energy, solar energy, wind energy, hydroelectric power, geothermal energy and their environmental implications, with the most updated progress for each pillar. It also includes the life cycle assessment (LCA) and thermoeconomic analysis (TA) as tools for evaluating and optimising environmental and cost subjects. Chapters are organized into fundamental research, applied research and future trends; and written for engineers, academic researches and scientists.
Categories: Science

Eddy Structure Identification

Eddy Structure Identification

Jeong, J. & Hussain, F. 1995 On the identification of a vortex. ... P., Leonard, A. & Kim, J. 1986 Evolution of a curved vortex filament into a vortex ring.

Author: J.P. Bonnet

Publisher: Springer

ISBN: 9783709126769

Category: Science

Page: 363

View: 910

This book is a unique opportunity to present in a single volume information that is needed for both experimentalists, theoreticians and computationalists for the detection, analysis, prediction and control of eddy structures in turbulent shear flows. Major identification techniques of Eddy Structures in Turbulent Shear Flows are presented together with applications to vortex dynamics, turbulence management and flow control, for experimental and numerical applications with new prediction methods: Eduction Schemes, Proper Orthogonal Decomposition, Stochastic Estimation, Pattern Recognition Analysis, Wavelet Transform. Illustrations of the use of the different methods are given.
Categories: Science

Vortex Dominated Flows

Vortex Dominated Flows

This is the characteristic time scale of the overall evolution of a three-dimensional curved vortex filament according to Hasimoto (1972) or Callegari and ...

Author: Lu Ting

Publisher: Springer Science & Business Media

ISBN: 9783540685821

Category: Science

Page: 508

View: 375

This monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The book explores the dynamics of slender vortex filaments in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics. The book is addressed to both graduate students and researchers.
Categories: Science