New trends in turbulence. Turbulence: nouveaux aspects: Les Houches Session LXXIV 31 July - 1 September 2000M. Lesieur, Akiva M. Yaglom, F. David The phenomenon of turbulence in fluid mechanics has been known for many centuries. Indeed, it was for instance discussed by the Latin poet Lucretius who described in "de natura rerum" how a small perturbation ("clinamen") could be at the origin of the development of a turbulent order in an initially laminar river made of randomly agitated atoms. More recently, Leonardo da Vinci drew vortices. Analogous vortices were sketched by the Japonese school of artists called Utagawa in the 19th century, which certainly influenced van Gogh in "The Starry Night". However, and notwithstanding decisive contributions made by Benard, Reynolds, Prandtl, von Karman, Richardson and Kolmogorov, the problem is still wide open: there is no exact derivation of the famous so called Kolmogorov k 5'3 cascade towards small scales, nor of the value of the transitional Reynolds number for turbulence in a pipe. Besides these fundamental aspects, turbulence is associated with essential practical questions in hydraulics, aerodynamics (drag reduction for cars, trains and planes), combustion (improvement of engine efficiency and pollution reduction), acoustics (the reduction of turbulence induced noise is an essential issue for plane reactors), environmental and climate studies (remember the huge damage caused by severe storms in Europe at the end of 1999), and astrophysics (Jupiter's Great Red Spot and solar granulation are manifestations of turbulence). Therefore, there is an urgent need to develop models that allow us to predict and control turbulence effects. |
Contents
Measures of Anisotropy and the Universal Properties of Turbulence | 53 |
LargeEddy Simulations of Turbulence | 112 |
Statistical Turbulence Modelling for the Computation of Physically Complex Flows | 187 |
Computational Aeroacoustics | 259 |
The Topology of Turbulence | 318 |
Burgulence | 341 |
TwoDimensional Turbulence | 384 |
Analysing and Computing Turbulent Flows Using Wavelets | 448 |
Lagrangian Description of Turbulence | 505 |
Other editions - View all
New trends in turbulence. Turbulence: nouveaux aspects: Les Houches Session ... M. Lesieur,Akiva M. Yaglom,F. David No preview available - 2002 |
New trends in turbulence. Turbulence: nouveaux aspects: Les Houches Session ... M. Lesieur,Akiva M. Yaglom,F. David No preview available - 2010 |
Common terms and phrases
2D turbulence AIAA anisotropic boundary layer Burgers equation closure coherent vortices components computational conservation considered constant correlation function corresponding decay density derived diffusion dimension dimensional direct numerical simulations dissipation dynamics eddy eddy-viscosity models energy spectrum enstrophy entropy Euler equations evolution experimental Figure filter fluctuations Fluid Mech flux Fourier Gaussian gradient grid incompressible inertial range initial interaction isotropic Kolmogorov Kraichnan Lagrangian Leschziner Lesieur linear logarithmic Lyapunov exponent Mankbadi Métais motion Navier–Stokes equations near-wall noise nonlinear numerical simulations obtained parameters particles Phys physical predicted pressure problem random Reynolds number rotation scaling exponent Shear Flows shear stress solution space spatial spectral statistical statistical mechanics strain streamwise stress structure function tensor theory tion trajectories turbulence models turbulent flows two-dimensional vector velocity field viscosity vortex vorticity wall wavelet coefficients wavenumber zero modes