Homogeneous Turbulence Dynamics
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 (s...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2018, 2018
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| Edition: | 2nd ed. 2018 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Extending LIA: I. Interaction with rarefaction waves
- Extending LIA: II. Case of non-reacting binary mixtures of perfect gas
- Extending LIA: III. Thin strong detonation/turbulence interaction
- The essentials of linear and nonlinear theories and models
- Rapid Distortion Theory for homogeneous turbulence
- Zonal RDT and short-wave stability analysis
- Application to statistical modeling of inhomogeneous turbulence
- Other perspectives in extended linearized approaches
- Generalities on triadic closures
- Solving the linear operator to account for strong anisotropy
- A general EDQN closure. Different levels of markovianization
- Detailed equations from EDQNM1 in the model by Mons, Cambon and Sagaut
- Application of three EDQNM(1-2-3) versions to the rotating turbulence
- Other cases of flows with and without production
- Connection with self-consistent theories: single-time or two-time?
- Applications to weak or moderate anisotropy
- Open numerical problems
- MHD turbulence and interactions with other body forces and mean gradients
- Homogeneous incompressible MHD turbulence and beyond
- Compressible homogeneous isotropic turbulence
- Different régimes in compressible turbulence
- Structures in the physical space
- Compressible homogeneous isotropic turbulence
- Different regimes in compressible turbulence
- Quasi-isentropic turbulent regime
- Low-Mach thermal regimes
- Nonlinear subsonic regimes
- Supersonic regime
- Structures in the physical space
- Compressible homogeneous anisotropic turbulence
- Effects of compressibility in free shear flows. Observations
- A general quasi-isentropic approach to homogeneous compressible shear flows
- Incompressible turbulence with compressible mean flow effects: compressed turbulence
- Compressible turbulence in the presence of pure plane shear
- Perspectives and open issues
- Topological analysis, coherent events and related dynamics
- Incompressible homogeneous anisotropic turbulence: With strain
- Main observations
- Experiments for turbulence in the presence of mean strain. Kinematics of the mean flow
- First approach in physical space to irrotational mean flows
- The fundamentals of homogeneous RDT
- Final RDT results for mean irrotational strain
- Towards a fully nonlinear approach
- Return to isotropy
- Nonhomogeneous flow cases. Coherent structures in strained homogeneous turbulence
- Incompressible homogeneous anisotropic turbulence: pure shear
- Physical and numerical experiments: kinetic energy, RST, lengthscales, anisotropy
- Reynolds Stress tensor and analysis of related equations
- Rapid Distortion Theory: equations, solutions, algebraic growth
- Nonlinear spectral analysis, simplified closure and selfsimilarity
- Return to isotropy in shear-released homogeneous turbulence.-Models for space- and space-time correlations
- Pressure field: theory and models
- Vortical structures dynamics in homogeneous shear turbulence
- Self-sustaining turbulent cycle in quasi-homogeneous sheared turbulence
- Self-sustaining processes in non-homogeneous sheared turbulence: exact coherent states and travelling wave solutions
- Incompressible homogeneous anisotropic turbulence: buoyancy force and mean stratification
- Observations, propagating and non-propagating motion. Collapse of vertical motion and layering
- Simplified equations, using Navier-Stokes and Boussinesq approximations, with uniform density gradient
- Eigenmode decomposition. Physical interpretation
- The toroidal cascade as a strong nonlinear mechanism explaining the layering
- The viewpoint of modelling and theory: RDT, Wave-Turbulence, EDQNM
- Coherent structures : dynamics and scaling of the layered flow, “pancake” dynamics, instabilities
- Unstable Stratified Homogeneous Turbulence
- Extension to the mixing zone resulting from Rayleigh-Taylor instability and beyond
- Turbulence régimes in dilute polymer solution
- Visco-elastic effects on flow topology
- Isotropic turbulence with coupled microstructures. Quantum Turbulence
- Introductory phenomenology to Quantum Turbulence
- The three levels of description and physical modelling
- Quantized vortices and Kelvin Waves: facts and models
- Quantum Turbulence dynamics at zero or nearly-zero temperature
- The decay of isotropic Quantum Turbulence
- Mutual friction: microscopic origin and models
- Incompressible homogeneous anisotropic turbulence: pure rotation
- Physical and numerical experiments
- Governing equation
- Advanced analysis of energy transfer via DNS
- Balance of RST equations. A case without “production”. New tensorial modeling
- Inertial waves. Linear régime
- Nonlinear theory and modeling: Wave Turbulence and EDQNM
- Fundamental issues: solved and open questions
- Coherent structures, description and dynamics
- Scale-by-scale anisotropy
- 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 Stress Tensor and energy balance in compressible flows
- Incompressible homogeneous isotropic turbulence
- Coupled effects : rotation, stratification, strain and shear
- Governing equations for the dynamics of coupled effects
- Rotating stratified turbulence
- Rotation or stratification with mean shear
- Shear, rotation and stratification. Approach to baroclinic instability
- The elliptical flow instability from \homogeneous" RDT
- Axisymmetric strain with rotation
- Relevance of RDT and WKB RDT variants for analysis of transient growth and exponential instabilities
- Incompressible homogeneous anisotropic turbulence: Magnetohydrodynamic turbulence
- Generalities, analogies and differences with respect to the purely hydrodynamic case
- Governing equations
- Alfvén waves and Ohmic damping. Linear régime
- The Quasi-Static régime, from linear to nonlinear dynamics
- A first statistical approach, Kolmogorov-Monin laws, without mean magnetic field
- Refined analysis: Triadic interactions in MHD without mean magnetic field
- Observations and measures in forced and freely decaying turbulence
- Classical statistical analysis: energy cascade, local isotropy, usual characteristic scales
- Models for single-time and two-time energy spectra and velocity correlation functions
- Free decay theories: self-similarity, self-preservation, symmetries and invariants
- Recent results about decay regimes
- Reynolds Stress tensor and analysis of related equations
- Differential models for energy transfer
- Advanced analysis of energy transfers in Fourier space
- Pressure field: spectrum, scales and time evolution
- Topological analysis, coherent events and related dynamics
- Non-linear dynamics in the physical space
- What are the proper features of three-dimensional Navier-Stokes turbulence?
- Isotropic turbulence with coupled microstructures: Visco-elastic turbulence
- Introduction to turbulence in dilute polymer solutions
- Governing equations
- Description of turbulence with FENE-P model
- Canonical isotropic turbulence/shock interaction and beyond
- Brief survey of existing interaction regimes
- Wrinkled shock régime: Linear interaction
- Wrinkled shock régime: Nonlinear interaction
- Broken shock régime
- Beyond canonical case. I: Spherical shock waves
- Beyond canonical case. II: Planar shock interacting with turbulence in a non-reacting binary mixture
- Beyond canonical case. III: Planar detonation interacting with turbulence
- Linear Interaction Approximation for shock/perturbation interaction
- Shock description and emitted fluctuating field
- Calculation of wave vectors of emitted waves
- Calculation of amplitude of emitted waves
- Distinguishing between poloidal and toroidal vorticity modes
- Reconstruction of the second order moments
- Further analytical work: exact and asymptotic LIA solutions based on Laplace transform
- A posteriori assessment of LIA in the canonical interaction case
- Conclusions and perspectives
- Homogenization of turbulence. Local or global homogeneity? Physical space or Fourier space?
- Linear theory, `homogeneous' RDT, WKB variants, and LIA
- Multi-point closures for weak and strong turbulence
- Structure formation, structuring effects and individual coherent structures
- Anisotropy including dimensionality, a main theme
- Deriving practical models
- Bibliography
- Index