Homogeneous Turbulence Dynamics

Description

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. Front Matter ....Pages i-xxix Introduction (Pierre Sagaut, Claude Cambon)....Pages 1-11 Governing Equations, from Dynamics to Statistics (Pierre Sagaut, Claude Cambon)....Pages 13-73 Additional Reminders: Compressible Turbulence Description (Pierre Sagaut, Claude Cambon)....Pages 75-97 Incompressible Homogeneous Isotropic Turbulence (Pierre Sagaut, Claude Cambon)....Pages 99-244 Isotropic Turbulence with Coupled Microstructures. I: Visco-Elastic Turbulence (Pierre Sagaut, Claude Cambon)....Pages 245-267 Isotropic Turbulence with Coupled Microstructures. II: Quantum Turbulence (Pierre Sagaut, Claude Cambon)....Pages 269-351 Incompressible Homogeneous Anisotropic Turbulence: Pure Rotation (Pierre Sagaut, Claude Cambon)....Pages 353-401 Incompressible Homogeneous Anisotropic Turbulence: With Strain (Pierre Sagaut, Claude Cambon)....Pages 403-437 Incompressible Homogeneous Anisotropic Turbulence: Pure Shear (Pierre Sagaut, Claude Cambon)....Pages 439-484 Incompressible Homogeneous Anisotropic Turbulence: Buoyancy Force and Mean Stratification (Pierre Sagaut, Claude Cambon)....Pages 485-533 Coupled Effects: Rotation, Stratification, Strain and Shear (Pierre Sagaut, Claude Cambon)....Pages 535-581 Incompressible Homogeneous Anisotropic Turbulence: Magnetohydrodynamic Turbulence (Pierre Sagaut, Claude Cambon)....Pages 583-620 Compressible Homogeneous Isotropic Turbulence (Pierre Sagaut, Claude Cambon)....Pages 621-689 Compressible Homogeneous Anisotropic Turbulence (Pierre Sagaut, Claude Cambon)....Pages 691-725 Canonical Isotropic Turbulence/Shock Interaction and Beyond (Pierre Sagaut, Claude Cambon)....Pages 727-776 Linear Interaction Approximation for Shock/Perturbation Interaction (Pierre Sagaut, Claude Cambon)....Pages 777-829 The Essentials of Linear and Nonlinear Theories and Models (Pierre Sagaut, Claude Cambon)....Pages 831-880 Conclusions and Perspectives (Pierre Sagaut, Claude Cambon)....Pages 881-892 Back Matter ....Pages 893-897