Homogeneous Turbulence Dynamics [Hardcover]

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.

Introduction.- Scope of the book.- Structure and contents of the second edition of the book.- Governing equations, from dynamics to statistics.- Background deterministic equations.- Briefs about statistical and probabilistic approaches.- Reynolds Stress tensor and related equations.- Anisotropy in physical space. Single-point correlations.- Spectral analysis, from random fields to two-point correlations. Local frame, helical modes.- Anisotropy for multipoint correlations.- A synthetic scheme of the closure problem: non-linearity and non-locality.- On the use of Lagrangian formalism.- Additional reminders: compressible turbulence description.- Navier-Stokes equations for compressible flows and shock jump conditions.- Introduction to modal decomposition of turbulent fluctuations.- Mean flow equations, Reynolds Strel“5