Turbulence and Coherent Structures

1. Front Matter

   Pages i-xiii

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2. Remarks on Turbulence Theory

   1. Remarks on Turbulence Theory

      • Jacques-Louis Lions

      Pages 1-13

3. Hydrodynamic visualization of organized structures and turbulences in boundary layers, wakes, jets or propeller flows

   1. Hydrodynamic visualization of organized structures and turbulences in boundary layers, wakes, jets or propeller flows

      • Henri Werlé

      Pages 15-26

4. Free Shear Flows

   1. Front Matter

      Pages 27-27

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   2. The emergence of characteristic (coherent?) motion in homogeneous turbulent shear flows

      • D. J. Carruthers, J. C. H. Fung, J. C. R. Hunt, R. J. Perkins

      Pages 29-44

   3. Generation of coherent structures in free shear layers

      • Pierre Comte, Yves Fouillet, Marc-André Gonze, Marcel Lesieur, Olivier Metais, Xavier Normand

      Pages 45-73

   4. Use of the proper orthogonal decomposition in a plane turbulent mixing layer

      • Joël Delville, Stéphane Bellin, Jean Paul Bonnet

      Pages 75-90

   5. On the Three-Dimensional Dynamics of Coherent Vortical Structures Forming in Free, Shear Flows

      • J. C. Lasheras, E. Meiburg

      Pages 91-111

   6. Visualizations of helium jets in air

      • R. Riva, G. Binder, S. Tardu, M. Favre-Marinet

      Pages 113-124

   7. Thermal striping : structures in interacting jets

      • H. M. Tsai, D. C. Leslie, P. R. Voke

      Pages 125-138

5. Boundary Layers

   1. Front Matter

      Pages 139-139

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   2. Three-dimensional aspects of the organized motion in a turbulent boundary layer

      • R. A. Antonia, D. K. Bisset

      Pages 141-157

   3. Large eddy simulation of boundary layers with a step change in pressure gradient

      • Rainer Friedrich, Friedemann Unger

      Pages 159-174

6. Fundamentals

   1. Front Matter

      Pages 175-175

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   2. Intermittent structure of dissipation in isotropic turbulence viewed from a direct simulation

      • Iwao Hosokawa, Kiyoshi Yamamoto

      Pages 177-189

   3. The spatial structure of homogeneous turbulence at Reynolds Numbers around 1000

      • A. Vincent, M. Meneguzzi

      Pages 191-201

   4. Wavelet analysis of fully developed turbulence data and measurement of scaling exponents

      • Emmanuel Bacry, Alain Arneodo, Uriel Frisch, Yves Gagne, Emil Hopfinger

      Pages 203-215

   5. How Solenoidal can be the Lamb Vector in Turbulent Flow? Consequences and Implications

      • A. Tsinober

      Pages 217-224

7. Chaos and Instability

   1. Front Matter

      Pages 225-225

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   2. Bifurcations and bursting of streaks in the turbulent wall layer

      • N. Aubry, S. Sanghi

      Pages 227-251

In the last 25 years, one of the most striking advances in Fluid Mecha­ nics was certainly the discovery of coherent structures in turbulence: lab­ oratory experiments and numerical simulations have shown that most turbulent flows exhibit both spatially-organized large-scale structures and disorganized motions, generally at smaller scales. The develop­ ment of new measurement and visualization techniques have allowed a more precise characterization and investigation of these structures in the laboratory. Thanks to the unprecedented increase of computer power and to the development of efficient interactive three-dimensional colour graphics, computational fluid dynamicists can explore the still myste­ rious world of turbulence. However, many problems remain unsolved concerning the origin of these structures, their dynamics, and their in­ teraction with the disorganized motions. In this book will be found the latest results of experimentalists, theoreticians and numerical modellers interested in these topics. These coherent structures may appear on airplane wings or slender bodies, mixing layers, jets, wakes or boundary-layers. In free-shear flows and in boundary layers, the results presented here highlight the intense three-dimensional character of the vortices. The two-dimensional large­ scale eddies are very sensitive to three-dimensional perturbations, whose amplification leads to the formation of three-dimensional coherent vorti­ cal structures, such as streamwise, hairpin or horseshoe vortex filaments. This book focuses on modern aspects of turbulence study. Relations between turbulence theory and optimal control theory in mathematics are discussed. This may have important applications with regard to, e. g. , numerical weather forecasting.

• Wavelet
• chaos
• layers
• simulation
• stability
• visualization

• Institut de Mecanique de Grenoble, Grenoble Cedex, France

  O. Metais, M. Lesieur

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