عنوان

Homogeneous turbulence dynamics /

3030103277

3319731629

3319731637

9783030103279

9783319731629

9783319731636

3319731610

9783319731612

Homogeneous turbulence dynamics /

[Book]

Pierre Sagaut, Claude Cambon.

Second edition.

Cham, Switzerland :

Springer,

2018.

1 online resource

Intro; Foreword to Second Edition; Preface to Second Edition; Contents; Abstract; 1 Introduction; 1.1 Scope of the Book; 1.2 Structure and Contents of the Second Edition of the Book; References; 2 Governing Equations, from Dynamics to Statistics; 2.1 Background Deterministic Equations; 2.1.1 Mass Conservation; 2.1.2 The Momentum, Navier -- Stokes, Equations; 2.1.3 Incompressible Turbulence; 2.1.4 First Insight into Compressibility Effects; 2.1.5 Splitting the Velocity Field: Helmholtz Decomposition, Poloidal-Toroidal Decomposition and Clebsh Potentials.

2.1.6 Reminder About Circulation and Vorticity2.1.7 Evolution Equation for Velocity Gradient and Vorticity; 2.1.8 Biot -- Savart Relationship and Non-local Closure of Vorticity Equation; 2.1.9 Adding Body Forces or Mean Gradients; 2.2 Briefs About Statistical and Probabilistic Approaches; 2.2.1 Ensemble Averaging; 2.2.2 Single-Point and Multi-point Moments; 2.2.3 Statistics for Velocity Increments; 2.2.4 Application of the Reynolds Decomposition to Dynamical Equations; 2.3 Reynolds Stress Tensor and Related Equations; 2.3.1 RST Equations.

2.3.2 The Mean Flow Consistent with Homogeneity Restricted to Fluctuations2.3.3 Homogeneous RST Equations. Briefs About Closure Methods; 2.4 Anisotropy in Physical Space. Single-Point Correlations; 2.5 Spectral Analysis, from Random Fields to Two-Point ... ; 2.5.1 Second Order Statistics; 2.5.2 Poloidal-Toroidal Decomposition, and Craya -- Herring Frame of Reference; 2.5.3 The Helical Mode Decomposition; 2.5.4 On the Use of Projection Operators; 2.5.5 Nonlinear Dynamics; 2.5.6 Background Nonlinearity in the Different Reference Frames.

2.5.7 Inverting Linear Operators: Introduction to Green Functions2.6 Anisotropy for Multipoint Correlations; 2.6.1 Second Order Velocity Statistics; 2.6.2 Induced Anisotropic Structure of Arbitrary Second-Order Statistical Quantities; 2.6.3 Some Comments About Higher Order Statistics; 2.7 A Synthetic Scheme of the Closure Problem: Non-linearity ... ; 2.8 On the Use of Lagrangian Formalism; 2.8.1 From RDT to Visco-Elastic Mechanisms; 2.8.2 Lagrangian Stochastic Models; References; 3 Additional Reminders: Compressible Turbulence Description.

3.1 Navier -- Stokes Equations for Compressible Flows and Shock Jump Conditions3.1.1 Governing Conservation Equations; 3.1.2 Rankine -- Hugoniot Jump Relations; 3.1.3 Linearization of Rankine-Hugoniot Jump Relations; 3.2 Introduction to Modal Decomposition of Turbulent Fluctuations; 3.2.1 Statement of the Problem; 3.2.2 Kovasznay's Linear Decomposition; 3.2.3 Weakly Nonlinear Corrected Kovasznay Decomposition; 3.2.4 Bridging Between Kovasznay and Helmholtz Decomposition; 3.2.5 Helmholtz-Decomposition-Based Kinematic Relations for Isotropic Turbulence.

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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.

Springer Nature

com.springer.onix.9783319731629

9783319731612

Anisotropy-- Mathematical models.

Shear waves-- Mathematical models.

Turbulence-- Mathematical models.

Anisotropy-- Mathematical models.

Fluid mechanics.

Mathematical modelling.

Mathematical physics.

Maths for engineers.

Mechanics of fluids.

Shear waves-- Mathematical models.

TECHNOLOGY & ENGINEERING-- Engineering (General)

TECHNOLOGY & ENGINEERING-- Reference.

Turbulence-- Mathematical models.

PHDF

PHDF

TEC-- 009000

TEC-- 035000

Sagaut, Pierre,1967-

Cambon, Claude,1952-

20200823104042.0

pn

[Book]

Y