Homogeneous turbulence dynamics. (2018)

• Record Type: Book
• Further Information: Note: Pierre Sagaut, Claude Cambon.
• Authors: Sagaut, Pierre, 1967-; Cambon, Claude, 1952-
• Contents: 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.
• Edition: Second edition
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 620.1/064; Physics; Turbulence -- Mathematical models; Anisotropy -- Mathematical models; Shear waves -- Mathematical models; TECHNOLOGY & ENGINEERING -- Engineering (General); TECHNOLOGY & ENGINEERING -- Reference; Anisotropy -- Mathematical models; Shear waves -- Mathematical models; Turbulence -- Mathematical models; Mathematics -- Applied; Technology & Engineering -- Mechanical; Science -- Mathematical Physics; Mathematical modelling; Mechanics of fluids; Mathematical physics; Maths for engineers; Hydraulic engineering; Engineering mathematics; Science -- Mechanics -- Dynamics -- Fluid Dynamics; Fluid mechanics; Electronic books
• Languages: English
• ISBNs: 9783319731629; 3319731629
• Related ISBNs: 9783319731612; 3319731610
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed March 30, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.