Marcel Lesieur

Turbulence in Fluids

Stochastic and Numerical Modelling

• Broschiertes Buch

Produktbeschreibung

Turbulence is a dangerous topic which is often at the origin of serious fights in the scientific meetings devoted to it since it represents extremely different points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even difficult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view have been advocated during these last ten years: the first one is "statistical", and tries to model the evolution of averaged quantities of the flow. This com has followed the glorious trail of Taylor and Kolmogorov, munity, which believes in the phenomenology of cascades, and strongly disputes the possibility of any coherence or order associated to turbulence. On the other bank of the river stands the "coherence among chaos" community, which considers turbulence from a purely deterministic po int of view, by studying either the behaviour of dynamical systems, or the stability of flows in various situations. To this community are also associated the experimentalists who seek to identify coherent structures in shear flows.

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Produktdetails

• Fluid Mechanics and Its Applications 1
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-94-010-6726-3
• 2. Aufl.
• Seitenzahl: 448
• Erscheinungstermin: 21. Oktober 2011
• Englisch
• Abmessung: 240mm x 160mm x 25mm
• Gewicht: 711g
• ISBN-13: 9789401067263
• ISBN-10: 9401067260
• Artikelnr.: 39494324

Inhaltsangabe

I Introduction to turbulence in fluid mechanics.- 1 Is it possible to define turbulence?.- 2 Examples of turbulent flows.- 3 Fully developed turbulence.- 4 Fluid turbulence and "chaos".- 5 "Deterministic" and statistical approaches.- 6 Why study isotropic turbulence?.- 7 One-point closure modelling.- 8 Outline of the following chapters.- II Basic fluid dynamics.- 1 Eulerian notation and Lagrangian derivatives.- 2 The continuity equation.- 3 The conservation of momentum.- 4 The thermodynamic equation.- 5 The incompressibility assumption.- 6 The dynamics of vorticity.- 7 The generalized Kelvin theorem.- 8 The Boussinesq approximation.- 9 Internal inertial-gravity waves.- 10 Barré de Saint-Venant equations.- 11 Gravity waves in a fluid of arbitrary depth.- III Transition to turbulence.- 1 The Reynolds number.- 2 Linear-instability theory.- 3 Transition in shear flows.- 4 The Rayleigh number.- 5 The Rossby number.- 6 The Froude Number.- 7 Turbulence, order and chaos.- IV The Fourier space.- 1 Fourier representation of a flow.- 2 Navier-Stokes equations in Fourier space.- 3 Boussinesq approximation in the Fourier space.- 4 Craya decomposition.- 5 Complex helical waves decomposition.- V Kinematics of homogeneous turbulence.- 1 Utilization of random functions.- 2 Moments of the velocity field, homogeneity and stationarity.- 3 Isotropy.- 4 The spectral tensor of an isotropic turbulence.- 5 Energy, helicity, enstrophy and scalar spectra.- 6 Alternative expressions of the spectral tensor.- 7 Axisymmetric turbulence.- VI Phenomenological theories.- 1 Inhomogeneous turbulence.- 2 Triad interactions and detailed conservation.- 3 Transfer and Flux.- 4 The Kolmogorov theory.- 6.4.1 Oboukhov's theory.- 5 The Richardson law.- 6 Characteristic scales of turbulence.- 7 Skewnessfactor and enstrophy divergence.- 8 The internal intermittency.- VII Analytical theories and stochastic models.- 1 Introduction.- 2 The Quasi-Normal approximation.- 3 The Eddy-Damped Quasi-Normal type theories.- 4 The stochastic models.- 5 Phenomenology of the closures.- 6 Numerical resolution of the closure equations.- 7 The enstrophy divergence and energy catastrophe.- 8 The Burgers-M.R.C.M. model.- 9 Isotropic helical turbulence.- 10 The decay of kinetic energy.- 11 The Renormalization-Group techniques.- VIII Diffusion of passive scalars.- 1 Introduction.- 2 Phenomenology of the homogeneous passive scalar diffusion.- 3 The E.D.Q.N.M. isotropic passive scalar.- 4 The decay of temperature fluctuations.- 5 Lagrangian particle pair dispersion.- 6 Single-particle diffusion.- IX Two-dimensional and quasi-geostrophic turbulence.- 1 Introduction.- 2 The quasi-geostrophic theory.- 3 Two-dimensional isotropic turbulence.- 4 Diffusion of a passive scalar.- 5 Geostrophic turbulence.- X Absolute equilibrium ensembles.- 1 Truncated Euler Equations.- 2 Liouville's theorem in the phase space.- 3 The application to two-dimensional turbulence.- 4 Two-dimensional turbulence over topography.- XI The statistical predictability theory.- 1 Introduction.- 2 The E.D.Q.N.M. predictability equations.- 3 Predictability of three-dimensional turbulence.- 4 Predictability of two-dimensional turbulence.- XII Large-eddy simulations.- 1 The direct-numerical simulation of turbulence.- 2 The Large Eddy Simulations.- 3 The Smagorinsky model.- 4 L.E.S. of 3-D isotropic turbulence.- 5 L.E.S. of two-dimensional turbulence.- XIII Towards real-world turbulence.- 1 Introduction.- 2 Stably-stratified turbulence.- 3 The two-dimensional mixing layer.- 4 3D numerical simulations of the mixing layer.- 5Conclusion.

Rezensionen

From the reviews of the fourth edition:

"Turbulence in Fluids contains a wealth of information, and its author is a top-tier scientist. ... The book is logically ordered and contains a comprehensive list of 738 references. ... Lesieur's monograph is recommended for those who already know quite a bit about turbulence, for the theoretically inclined, and in particular for those interested in homogeneous turbulence and geophysical flows and their numerical simulation." (Mohamed Gad-El-Hak, Siam Review, Vol. 51 (1), 2009)

`Turbulence in Fluids will serve as a graduate-text to follow up... '
Pageoph
`The book that Professor Lesieur has written on turbulence is an irreplaceable subject. Lesieur's work mixes rigor and intuition. ... it is the spirit in which it is written that is striking. Moreover the book is attractively presented. At the present time is seems difficult to ignore this book which fits very well into the collection of classical works on the subject.'
Prof. J. Mathieu, Laboratoire de Mécanique des Fluides et d'Acoustique
`The book is attractively produced ... some beautiful photographs ... this is an interesting and attractive book. Everyone interested in the more theoretical aspects of turbulence will want to read it. '
D.C. Leslie in Journal of Fluid Mechanics, 194
` .. a useful text for a first course in turbulence for physicists, or as a second course for engineering students who have already had a more phenomenological introduction to the subject. It is a useful reference for the specialist who may not keep at his fingertips some of the details of the analytical theories and stochastic models. '
AIAA Journal, 26:10

`Turbulence in Fluids will serve as a graduate-text to follow up... ' Pageoph `The book that Professor Lesieur has written on turbulence is an irreplaceable subject. Lesieur's work mixes rigor and intuition. ... it is the spirit in which it is written that is striking. Moreover the book is attractively presented. At the present time is seems difficult to ignore this book which fits very well into the collection of classical works on the subject.' Prof. J. Mathieu, Laboratoire de Mécanique des Fluides et d'Acoustique `The book is attractively produced ... some beautiful photographs ... this is an interesting and attractive book. Everyone interested in the more theoretical aspects of turbulence will want to read it. ' D.C. Leslie in Journal of Fluid Mechanics, 194 ` .. a useful text for a first course in turbulence for physicists, or as a second course for engineering students who have already had a more phenomenological introduction to the subject. It is a useful reference for the specialist who may not keep at his fingertips some of the details of the analytical theories and stochastic models. ' AIAA Journal, 26:10