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Renormalization Group Rg In Turbulence
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Book Synopsis Field Theoretic Renormalization Group in Fully Developed Turbulence by : L.Ts Adzhemyan
Download or read book Field Theoretic Renormalization Group in Fully Developed Turbulence written by L.Ts Adzhemyan and published by CRC Press. This book was released on 1999-03-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization group (RG) theory of fully developed hydrodynamical turbulence is a new and developing field of research. This book gives a detailed and comprehensive review of the results obtained using this theory over the past 20 years. The authors have systematically adopted the highly successful field theoretic RG technique, which has a reliable base in the form of quantum- field renormalization theory, involves powerful and convenient methods of calculation such as analytic regularization and minimal subtractions, and allows one to obtain results which are difficult to achieve using other methods. In the first chapter the basic theory and technique are presented, while the next chapter deals with more advanced aspects of the theory, including the critical dimensions of various composite operators, infrared asymptotic behavior of scaling functions, the equation of spectral energy balance, and calculating the amplitudes in scaling laws. The third chapter presents a series of examples, such as turbulent convection of passive scalar admixture, the influence of anisotropy and gyrotropy, magnetohydrodynamical turbulence, and Langmuir turbulence of plasma. In contrast to more established disciplines, such as the theory of critical phenomena, in the RG theory of turbulence there is as yet no unique and generally accepted calculation technique. For this reason the authors also present the necessary information on the renormalization theory of the RG technique, making the subject accessible to a wide range of readers. The book will therefore be a useful source of reference for students and researchers in turbulence, statistical mechanics, and related fields, including those with no prior experience of using quantum-field techniques.
Book Synopsis Renormalization Group (RG) in Turbulence by : Ye Zhou
Download or read book Renormalization Group (RG) in Turbulence written by Ye Zhou and published by . This book was released on 1997 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems by : Malo Tarpin
Download or read book Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems written by Malo Tarpin and published by Springer Nature. This book was released on 2020-03-19 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.
Book Synopsis The Renormalization Group and Other Statistical Techniques at Work in Two Dimensional Incompressible Turbulence by : Piero Olla
Download or read book The Renormalization Group and Other Statistical Techniques at Work in Two Dimensional Incompressible Turbulence written by Piero Olla and published by . This book was released on 1992 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Homogeneous, Isotropic Turbulence by : W. David McComb
Download or read book Homogeneous, Isotropic Turbulence written by W. David McComb and published by OUP Oxford. This book was released on 2014-02-27 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid turbulence is often referred to as `the unsolved problem of classical physics'. Yet, paradoxically, its mathematical description resembles quantum field theory. The present book addresses the idealised problem posed by homogeneous, isotropic turbulence, in order to concentrate on the fundamental aspects of the general problem. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines. The book is in three parts, and begins with a very simple overview of the basic statistical closure problem, along with a summary of current theoretical approaches. This is followed by a precise formulation of the statistical problem, along with a complete set of mathematical tools (as needed in the rest of the book), and a summary of the generally accepted phenomenology of the subject. Part 2 deals with current issues in phenomenology, including the role of Galilean invariance, the physics of energy transfer, and the fundamental problems inherent in numerical simulation. Part 3 deals with renormalization methods, with an emphasis on the taxonomy of the subject, rather than on lengthy mathematical derivations. The book concludes with some discussion of current lines of research and is supplemented by three appendices containing detailed mathematical treatments of the effect of isotropy on correlations, the properties of Gaussian distributions, and the evaluation of coefficients in statistical theories.
Book Synopsis Renormalization Group Theory for Fluid and Plasma Turbulence by :
Download or read book Renormalization Group Theory for Fluid and Plasma Turbulence written by and published by . This book was released on 2009 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scale Invariance written by Annick LESNE and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.
Book Synopsis Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems by : Evgeny Barkhudarov
Download or read book Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems written by Evgeny Barkhudarov and published by Springer. This book was released on 2014-05-09 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length. The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD.
Book Synopsis Engineering Turbulence Modelling and Experiments 6 by : Wolfgang Rodi
Download or read book Engineering Turbulence Modelling and Experiments 6 written by Wolfgang Rodi and published by Elsevier. This book was released on 2005-05-05 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the world renowned ERCOFTAC (International Symposium on Engineering Turbulence Modelling and Measurements). The proceedings include papers dealing with the following areas of turbulence: · Eddy-viscosity and second-order RANS models · Direct and large-eddy simulations and deductions for conventional modelling · Measurement and visualization techniques, experimental studies · Turbulence control · Transition and effects of curvature, rotation and buoyancy on turbulence · Aero-acoustics · Heat and mass transfer and chemically reacting flows · Compressible flows, shock phenomena · Two-phase flows · Applications in aerospace engineering, turbomachinery and reciprocating engines, industrial aerodynamics and wind engineering, and selected chemical engineering problems Turbulence remains one of the key issues in tackling engineering flow problems. These problems are solved more and more by CFD analysis, the reliability of which depends strongly on the performance of the turbulence models employed. Successful simulation of turbulence requires the understanding of the complex physical phenomena involved and suitable models for describing the turbulent momentum, heat and mass transfer. For the understanding of turbulence phenomena, experiments are indispensable, but they are equally important for providing data for the development and testing of turbulence models and hence for CFD software validation. As in other fields of Science, in the rapidly developing discipline of turbulence, swift progress can be achieved only by keeping up to date with recent advances all over the world and by exchanging ideas with colleagues active in related fields.
Book Synopsis Renormalization Methods by : W. D. McComb
Download or read book Renormalization Methods written by W. D. McComb and published by Oxford University Press. This book was released on 2004 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text fills a gap between undergraduate and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation, proceeds to the epsilon-expansion and ends with the first-order corrections to critical exponents beyond mean-field theory.
Book Synopsis Homogeneous, Isotropic Turbulence by : W. D. McComb
Download or read book Homogeneous, Isotropic Turbulence written by W. D. McComb and published by Oxford University Press, USA. This book was released on 2014-03 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the idealised problem posed by homogeneous, isotropic turbulence. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines.
Book Synopsis Renormalization Group '91 - Proceedings Of The 2nd International Conference by : Dmitri V Shirkov
Download or read book Renormalization Group '91 - Proceedings Of The 2nd International Conference written by Dmitri V Shirkov and published by World Scientific. This book was released on 1992-04-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included here deal with the many faces of renormalization group formalism as it is used in different branches of theoretical physics. The subjects covered emphasize various applications to the theory of turbulence, chaos, quantum chaos in dynamical systems, spin systems and vector models. Also discussed are applications to related topics such as quantum field theory and chromodynamics, high temperature superconductivity and plasma physics.
Book Synopsis Performance of Renormalization Group Algebraic Turbulence Model on Boundary Layer Transition Simulation by :
Download or read book Performance of Renormalization Group Algebraic Turbulence Model on Boundary Layer Transition Simulation written by and published by . This book was released on 1994 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theoretical Approaches to Turbulence by : D.L. Dwoyer
Download or read book Theoretical Approaches to Turbulence written by D.L. Dwoyer and published by Springer. This book was released on 1985-09-11 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence is the lIDst natural nDde of fluid lIDtion, and has been the subject of scientific study for all!Dst a century. During this period, various ideas and techniques have evolved to nDdel turbulence. Following Saffman, these theoretical approaches can be broadly divided into four overlapping categories -- (1) analytical lIDdelling, (2) physical lIDdelling, (3) phenomenologicalllDdelling, and (4) nurerical lIDdelling. With the purpose of stmtnarizing our =ent understanding of these theoretical approaches to turbulence, recognized leaders (fluid dynamicists, mathematicians and physicists) in the field were invited to participate in a formal workshop during October 10-12, 1984, sponsored by The Institute for CooIputer Applications in Science and Engineering and NASA Langley Research Center. Kraiciman, McCcxnb, Pouquet and Spiegel represented the category of analytical nDdelling, while Landahl and Saffman represented physical lIDdelling. The contributions of Latmder and Spalding were in the category of phenanenological lIDdelling, and those of Ferziger and Reynolds in the area of nurericalllDdelling. Aref, Cholet, Lumley, Moin, Pope and Temam served on the panel discussions. With the care and cooperation of the participants, the workshop achieved its purpose, and we believe that its proceedings published in this vol\. llre has lasting scientific value. The tone of the workshop was set by two introductory talks by Bushnell and ChaImm. Buslmell presented the engineering viewpoint while Chapman reviewed from a historical perspective developments in the study of turbulence. The remaining talks dealt with specific aspects of the theoretical approaches to fluid turbulence.
Book Synopsis Marine Turbulence by : Helmut Z. Baumert
Download or read book Marine Turbulence written by Helmut Z. Baumert and published by Cambridge University Press. This book was released on 2005-04-04 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive overview of marine turbulence and mixing for students, scientists, engineers.
Book Synopsis Non-perturbative Renormalisation Group Approach to Some Out of Equilibrium Systems by : Malo Tarpin
Download or read book Non-perturbative Renormalisation Group Approach to Some Out of Equilibrium Systems written by Malo Tarpin and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focus on the study of two critical systems out of equilibrium using the tools of the non-perturbative renormalization group (NPRG).The first system is the diffusive epidemic process. This stochastic process models the propagation of an epidemic within a population, where the infected individuals recover without immunization. This model exhibit a phase transition when the epidemic goes extinct. The study consisted in applied an approximate form of the NPRG named the modified local potential approximation to this transition. It led us to take a new look at the standard lore for this model, obtained through a perturbative renormalization group analysis. In particular, whether the phase transition belongs to the universality class of the directed percolation with a conserved quantity is called into question.The second system is fully developed homogeneous isotropic turbulence, as described by the Navier-Stokes equation. The stationary state of this driven-dissipative system shows a energy cascade whose phenomenology is typical of scale-invariant systems. A more in depth examination disclose that scale invariance is broken in a subtle way. This is the origin of intermittence phenomena in turbulence. We used a large wave-number expansion of the NPRG to study the temporal dependency of correlation functions in this system and whether the direct cascade in bidimensional turbulence could develop intermittency.
Book Synopsis Handbook of Fluid Dynamics by : Richard W. Johnson
Download or read book Handbook of Fluid Dynamics written by Richard W. Johnson and published by CRC Press. This book was released on 2016-04-06 with total page 1544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Fluid Dynamics offers balanced coverage of the three traditional areas of fluid dynamics—theoretical, computational, and experimental—complete with valuable appendices presenting the mathematics of fluid dynamics, tables of dimensionless numbers, and tables of the properties of gases and vapors. Each chapter introduces a different fluid dynamics topic, discusses the pertinent issues, outlines proven techniques for addressing those issues, and supplies useful references for further research. Covering all major aspects of classical and modern fluid dynamics, this fully updated Second Edition: Reflects the latest fluid dynamics research and engineering applications Includes new sections on emerging fields, most notably micro- and nanofluidics Surveys the range of numerical and computational methods used in fluid dynamics analysis and design Expands the scope of a number of contemporary topics by incorporating new experimental methods, more numerical approaches, and additional areas for the application of fluid dynamics Handbook of Fluid Dynamics, Second Edition provides an indispensable resource for professionals entering the field of fluid dynamics. The book also enables experts specialized in areas outside fluid dynamics to become familiar with the field.
