The Statistical Dynamics Of Turbulence

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The Statistical Dynamics of Turbulence

Jovan Jovanovic
The Statistical Dynamics of Turbulence Book PDF

Author : Jovan Jovanovic
Publisher : Springer Science & Business Media
Page : 145 pages
File Size : 54,7 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662104118

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The Statistical Dynamics of Turbulence by Jovan Jovanovic Pdf

This short but complicated book is very demanding of any reader. The scope and style employed preserve the nature of its subject: the turbulence phe nomena in gas and liquid flows which are believed to occur at sufficiently high Reynolds numbers. Since at first glance the field of interest is chaotic, time-dependent and three-dimensional, spread over a wide range of scales, sta tistical treatment is convenient rather than a description of fine details which are not of importance in the first place. When coupled to the basic conserva tion laws of fluid flow, such treatment, however, leads to an unclosed system of equations: a consequence termed, in the scientific community, the closure problem. This is the central and still unresolved issue of turbulence which emphasizes its chief peculiarity: our inability to do reliable predictions even on the global flow behavior. The book attempts to cope with this difficult task by introducing promising mathematical tools which permit an insight into the basic mechanisms involved. The prime objective is to shed enough light, but not necessarily the entire truth, on the turbulence closure problem. For many applications it is sufficient to know the direction in which to go and what to do in order to arrive at a fast and practical solution at minimum cost. The book is not written for easy and attractive reading.

Non-equilibrium Statistical Mechanics and Turbulence

John Cardy,Gregory Falkovich,K. Gawędzki
Non equilibrium Statistical Mechanics and Turbulence Book PDF

Author : John Cardy,Gregory Falkovich,K. Gawędzki
Publisher : Cambridge University Press
Page : 180 pages
File Size : 50,7 Mb
Release : 2008-12-11
Category : Mathematics
ISBN : 0521715148

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Non-equilibrium Statistical Mechanics and Turbulence by John Cardy,Gregory Falkovich,K. Gawędzki Pdf

This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.

Statistical Fluid Mechanics, Volume II

A. S. Monin,A. M. Yaglom
Statistical Fluid Mechanics Volume II Book PDF

Author : A. S. Monin,A. M. Yaglom
Publisher : Dover Publications
Page : 0 pages
File Size : 47,8 Mb
Release : 2007-06-05
Category : Science
ISBN : 0486458911

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Statistical Fluid Mechanics, Volume II by A. S. Monin,A. M. Yaglom Pdf

"If ever a field needed a definitive book, it is the study of turbulence; if ever a book on turbulence could be called definitive, it is this book." — Science Written by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics, this two-volume survey is renowned for its clarity as well as its comprehensive treatment. The first volume begins with an outline of laminar and turbulent flow. The remainder of the book treats a variety of aspects of turbulence: its statistical and Lagrangian descriptions, shear flows near surfaces and free turbulence, the behavior of thermally stratified media, and diffusion. Volume Two continues and concludes the presentation. Topics include spectral functions, homogeneous fields, isotropic random fields, isotropic turbulence, self-preservation hypotheses, spectral energy transfer, the Millionshchikov hypothesis, acceleration fields, equations for higher moments and the closure problem, and turbulence in a compressible fluid. Additional subjects include general concepts of the local structure of turbulence at high Reynolds numbers, the theory of fully developed turbulence, the propagation of electromagnetic and acoustic waves through a turbulent medium, and the twinkling of stars. The book closes with a discussion of the functional formulation of the problem of turbulence, presenting the equations for the characteristic functional and methods for their solution.

Statistical Mechanics of Turbulent Flows

Stefan Heinz
Statistical Mechanics of Turbulent Flows Book PDF

Author : Stefan Heinz
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 47,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662100226

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Statistical Mechanics of Turbulent Flows by Stefan Heinz Pdf

The simulation of technological and environmental flows is very important for many industrial developments. A major challenge related to their modeling is to involve the characteristic turbulence that appears in most of these flows. The traditional way to tackle this question is to use deterministic equations where the effects of turbulence are directly parametrized, i. e. , assumed as functions of the variables considered. However, this approach often becomes problematic, in particular if reacting flows have to be simulated. In many cases, it turns out that appropriate approximations for the closure of deterministic equations are simply unavailable. The alternative to the traditional way of modeling turbulence is to construct stochastic models which explain the random nature of turbulence. The application of such models is very attractive: one can overcome the closure problems that are inherent to deterministic methods on the basis of relatively simple and physically consistent models. Thus, from a general point of view, the use of stochastic methods for turbulence simulations seems to be the optimal way to solve most of the problems related to industrial flow simulations. However, it turns out that this is not as simple as it looks at first glance. The first question concerns the numerical solution of stochastic equations for flows of environmental and technological interest. To calculate industrial flows, 3 one often has to consider a number of grid cells that is of the order of 100 .

Statistical Fluid Mechanics

Andre? Sergeevich Monin,A. M. I?A?glom
Statistical Fluid Mechanics Book PDF

Author : Andre? Sergeevich Monin,A. M. I?A?glom
Publisher : Courier Corporation
Page : 786 pages
File Size : 51,7 Mb
Release : 2007-01-01
Category : Science
ISBN : 9780486458830

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Statistical Fluid Mechanics by Andre? Sergeevich Monin,A. M. I?A?glom Pdf

"If ever a book on turbulence could be called definitive," declared Science, "it is this book by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics." Noted for its clarity as well as its comprehensive treatment, this two-volume set serves as text or reference. 1971 edition.

Homogeneous Turbulence Dynamics

Pierre Sagaut,Claude Cambon
Homogeneous Turbulence Dynamics Book PDF

Author : Pierre Sagaut,Claude Cambon
Publisher : Springer
Page : 897 pages
File Size : 48,7 Mb
Release : 2018-03-23
Category : Science
ISBN : 9783319731629

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Homogeneous Turbulence Dynamics by Pierre Sagaut,Claude Cambon Pdf

This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.

Statistical Fluid Mechanics, Volume II

A. S. Monin,A. M. Yaglom
Statistical Fluid Mechanics Volume II Book PDF

Author : A. S. Monin,A. M. Yaglom
Publisher : Courier Corporation
Page : 898 pages
File Size : 45,8 Mb
Release : 2013-07-25
Category : Science
ISBN : 9780486318141

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Statistical Fluid Mechanics, Volume II by A. S. Monin,A. M. Yaglom Pdf

"If ever a field needed a definitive book, it is the study of turbulence; if ever a book on turbulence could be called definitive, it is this book." — Science Written by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics, this two-volume survey is renowned for its clarity as well as its comprehensive treatment. The first volume begins with an outline of laminar and turbulent flow. The remainder of the book treats a variety of aspects of turbulence: its statistical and Lagrangian descriptions, shear flows near surfaces and free turbulence, the behavior of thermally stratified media, and diffusion. Volume Two continues and concludes the presentation. Topics include spectral functions, homogeneous fields, isotropic random fields, isotropic turbulence, self-preservation hypotheses, spectral energy transfer, the Millionshchikov hypothesis, acceleration fields, equations for higher moments and the closure problem, and turbulence in a compressible fluid. Additional subjects include general concepts of the local structure of turbulence at high Reynolds numbers, the theory of fully developed turbulence, the propagation of electromagnetic and acoustic waves through a turbulent medium, and the twinkling of stars. The book closes with a discussion of the functional formulation of the problem of turbulence, presenting the equations for the characteristic functional and methods for their solution.

Intermittency and Self-Organisation in Turbulence and Statistical Mechanics

Eun-jin Kim
Intermittency and Self Organisation in Turbulence and Statistical Mechanics Book PDF

Author : Eun-jin Kim
Publisher : MDPI
Page : 300 pages
File Size : 46,7 Mb
Release : 2019-07-29
Category : Mathematics
ISBN : 9783039211081

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Intermittency and Self-Organisation in Turbulence and Statistical Mechanics by Eun-jin Kim Pdf

This book is a printed edition of the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics that was published in Entropy

Statistical Turbulence Modelling for Fluid Dynamics — Demystified

Michael Leschziner
Statistical Turbulence Modelling for Fluid Dynamics Demystified Book PDF

Author : Michael Leschziner
Publisher : World Scientific
Page : 424 pages
File Size : 51,5 Mb
Release : 2015-08-20
Category : Science
ISBN : 9781783266630

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Statistical Turbulence Modelling for Fluid Dynamics — Demystified by Michael Leschziner Pdf

This book is intended for self-study or as a companion of lectures delivered to post-graduate students on the subject of the computational prediction of complex turbulent flows. There are several books in the extensive literature on turbulence that deal, in statistical terms, with the phenomenon itself, as well its many manifestations in the context of fluid dynamics. Statistical Turbulence Modelling for Fluid Dynamics — Demystified differs from these and focuses on the physical interpretation of a broad range of mathematical models used to represent the time-averaged effects of turbulence in computational prediction schemes for fluid flow and related transport processes in engineering and the natural environment. It dispenses with complex mathematical manipulations and instead gives physical and phenomenological explanations. This approach allows students to gain a 'feel' for the physical fabric represented by the mathematical structure that describes the effects of turbulence and the models embedded in most of the software currently used in practical fluid-flow predictions, thus counteracting the ill-informed black-box approach to turbulence modelling. This is done by taking readers through the physical arguments underpinning exact concepts, the rationale of approximations of processes that cannot be retained in their exact form, and essential calibration steps to which the resulting models are subjected by reference to theoretically established behaviour of, and experimental data for, key canonical flows. Contents: Statistical Viewpoint of Turbulence — Motivation and RationaleWhat Makes Turbulence Tick?Reynolds-AveragingFundamentals of Stress / Strain InteractionFundamentals of Near-Wall InteractionsFundamentals of Scalar-Flux / Scalar-Gradient InteractionsThe Eddy ViscosityOne-Equation Eddy-Viscosity ModelsTwo-Equation ModelsWall Functions For Linear Eddy-Viscosity ModelsDefects of Linear Eddy-Viscosity Models, Their Sources and (Imperfect) Corrections Reynolds-Stress-Transport ModellingScalar/Heat-Flux-Ttransport ModellingThe ¯υ2 — ƒ ModelAlgebraic Reynolds-Stress and Non-Linear Eddy-Viscosity Models Readership: Researchers and post-graduate students in the field of fluid dynamics. Key Features:Emphasis on physical and phenomenological interpretationBroad range of models coveredStrong emphasis on understanding the concepts and the rationale behind assumptionsAvoidance of mathematical complexity that does not serve the objective of conveying understanding and insightKeywords:Turbulence Modeling;Rans;Computational Fluid Dynamics;Single Point Closure

Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence

R H Kraichnan
Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence Book PDF

Author : R H Kraichnan
Publisher : Legare Street Press
Page : 0 pages
File Size : 40,7 Mb
Release : 2023-07-18
Category : Electronic
ISBN : 101958548X

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Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence by R H Kraichnan Pdf

This book presents a comprehensive analysis of hydromagnetic turbulence, a phenomenon that can be observed in a wide range of natural and industrial systems. R.H. Kraichnan is a pioneer in the field of theoretical physics and has made significant contributions to our understanding of turbulence. This book is a must-read for anyone interested in the physics of fluid dynamics and turbulence. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Statistical Mechanics of Ideal Homogeneous Turbulence

John V. Shebalin
The Statistical Mechanics of Ideal Homogeneous Turbulence Book PDF

Author : John V. Shebalin
Publisher : Unknown
Page : 136 pages
File Size : 53,6 Mb
Release : 2002
Category : Ergodic theory
ISBN : NASA:31769000451719

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The Statistical Mechanics of Ideal Homogeneous Turbulence by John V. Shebalin Pdf

Plasmas, such as those found in the space environment or in plasma confinement devices, are often modeled as electrically conducting fluids. When fluids and plasmas are energetically stirred, regions of highly nonlinear, chaotic behavior known as turbulence arise. Understanding the fundamental nature of turbulence is a long-standing theoretical challenge. The present work describes a statistical theory concerning a certain class of nonlinear, finite dimensional, dynamical models of turbulence. These models arise when the partial differential equations describing incompressible, ideal (i.e., non-dissipative) homogeneous fluid and magnetofluid (i.e., plasma) turbulence are Fourier transformed into a very large set of ordinary differential equations. These equations define a divergenceless flow in a high-dimensional phase space, which allows for the existence of a Lionville theorem, guaranteeing a distribution function based on constants of the motion (integral invariants).

Statistical Theory and Modeling for Turbulent Flows

P. A. Durbin,B. A. Pettersson Reif
Statistical Theory and Modeling for Turbulent Flows Book PDF

Author : P. A. Durbin,B. A. Pettersson Reif
Publisher : John Wiley & Sons
Page : 347 pages
File Size : 42,8 Mb
Release : 2011-06-28
Category : Science
ISBN : 9781119957522

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Statistical Theory and Modeling for Turbulent Flows by P. A. Durbin,B. A. Pettersson Reif Pdf

Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to become a knowledgeable user of turbulence models; it develops analytical tools for developers of predictive tools. Thoroughly revised and updated, this second edition includes a new fourth section covering DNS (direct numerical simulation), LES (large eddy simulation), DES (detached eddy simulation) and numerical aspects of eddy resolving simulation. In addition to its role as a guide for students, Statistical Theory and Modeling for Turbulent Flows also is a valuable reference for practicing engineers and scientists in computational and experimental fluid dynamics, who would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation. Provides an excellent foundation to the fundamental theoretical concepts in turbulence. Features new and heavily revised material, including an entire new section on eddy resolving simulation. Includes new material on modeling laminar to turbulent transition. Written for students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences. Accompanied by a website housing solutions to the problems within the book.

Non-equilibrium Statistical Mechanics and Turbulence

John L. Cardy
Non equilibrium Statistical Mechanics and Turbulence Book PDF

Author : John L. Cardy
Publisher : Unknown
Page : 161 pages
File Size : 48,7 Mb
Release : 2008
Category : Electronic books
ISBN : 1316085309

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Non-equilibrium Statistical Mechanics and Turbulence by John L. Cardy Pdf

This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.

Atmospheric Turbulence

Adrian F. Tuck
Atmospheric Turbulence Book PDF

Author : Adrian F. Tuck
Publisher : OUP Oxford
Page : 171 pages
File Size : 51,5 Mb
Release : 2008-01-17
Category : Science
ISBN : 9780191553127

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Atmospheric Turbulence by Adrian F. Tuck Pdf

This book, authored by a well-known researcher and expositor in meteorology, focuses on the direct link between molecular dynamics and atmospheric variation. Uniting molecular dynamics, turbulence theory, fluid mechanics and non equilibrium statistical mechanics, it is relevant to the fields of applied mathematics, physics and atmospheric sciences, and focuses on fluid flow and turbulence, as well as on temperature, radiative transfer and chemistry. With extensive references and glossary this is an ideal text for graduates and researchers in meteorology, applied mathematics and physical chemistry.

Theories of Turbulence

Martin Oberlack,Friedrich H. Busse
Theories of Turbulence Book PDF

Author : Martin Oberlack,Friedrich H. Busse
Publisher : Springer
Page : 377 pages
File Size : 42,9 Mb
Release : 2014-05-04
Category : Science
ISBN : 9783709125649

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Theories of Turbulence by Martin Oberlack,Friedrich H. Busse Pdf

The term "turbulence” is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.