
Simulation and Modeling of Turbulent Flows
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Content
- Intro
- PREFACE
- CONTENTS
- INTRODUCTION
- 1 FUNDAMENTAL ASPECTS OF INCOMPRESSIBLE AND COMPRESSIBLE TURBULENT FLOWS
- 1 INTRODUCTION
- 1.1 The Energy Cascade in the Spectrum in Equilibrium Flows
- 1.2 Kolmogorov Scales
- 1.3 Equilibrium Estimates for Dissipation
- 1.4 The Dynamics of Turbulence
- 2 EQUILIBRIUM AND NON-EQUILIBRIUM FLOWS
- 2.1 The Spectral Cascade in Non-Equilibrium Flows
- 2.2 Delay in Crossing the Spectrum
- 2.3 Negative Production
- 2.4 Mixing of Fluid with Different Histories
- 2.5 Deformation Work in Equilibrium and Non-Equilibrium Situations
- 2.6 Alignment of Eigenvectors
- 2.7 Dilatational Dissipation and Irrotational Dissipation
- 2.8 Eddy Shocklets
- 3 PROPER ORTHOGONAL DECOMPOSITION AND WAVELET REPRESENTATIONS
- 3.1 Coherent Structures
- 3.2 The Role of Coherent Structures in Turbulence Dynamics
- 3.3 The POD as a Representation of Coherent Structures
- 3.4 Low-Dimensional Models Constructed Using the POD
- 3.5 Comparison with the Wall Region
- 3.6 Generation of Eigenfunctions from Stability Arguments
- 3.7 Wavelet Representations
- 3.8 Dynamics with the Wavelet Representation in a Simple Equation
- 4 REFERENCES
- 2 DIRECT NUMERICAL SIMULATION OF TURBULENT FLOWS
- 1 INTRODUCTION
- 2 PROBLEM OF NUMERICAL SIMULATION
- 3 SIMULATION OF HOMOGENEOUS INCOMPRESSIBLE TURBULENCE
- 4 WALL-BOUNDED AND INHOMOGENEOUS FLOWS
- 5 FAST, VISCOUS VORTEX METHODS
- 6 SIMULATION OF COMPRESSIBLE TURBULENCE
- 7 REFERENCES
- 3 LARGE EDDY SIMULATION
- 1 INTRODUCTION
- 2 TURBULENCE AND ITS PREDICTION
- 2.1 The Nature of Turbulence
- 2.2 RANS Models
- 2.3 Direct Numerical Simulation (DNS)
- 3 FILTERING
- 4 SUBGRID SCALE MODELING
- 4.1 Physics of the Subgrid Scale Terms
- 4.2 Smagorinsky Model
- 4.3 A Priori Testing
- 4.4 Scale Similarity Model
- 4.5 Dynamic Procedure
- 4.6 Spectral Models
- 4.7 Effects of Other Strains
- 4.8 Other Models
- 5 WALL MODELS
- 6 NUMERICAL METHODS
- 7 ACCOMPLISHMENTS AND PROSPECTS
- 8 COHERENT STRUCTURE CAPTURING
- 8.1 The Concept
- 8.2 Modeling Issues
- 9 CONCLUSIONS AND RECOMMENDATIONS
- 10 REFERENCES
- 4 INTRODUCTION TO RENORMALIZATION GROUP MODELING OF TURBULENCE
- 1 INTRODUCTION
- 2 PERTURBATION THEORY FOR THE NAVIER-STOKES EQUATIONS
- 3 RENORMALIZATION GROUP METHOD FOR RESUMMATION OF DIVERGENT SERIES
- 4 TRANSPORT MODELING
- 5 REFERENCES
- 5 MODELING OF TURBULENT TRANSPORT EQUATIONS
- 1 INTRODUCTION
- 2 INCOMPRESSIBLE TURBULENT FLOWS
- 2.1 Reynolds Averages
- 2.2 Reynolds-Averaged Equations
- 2.3 The Closure Problem
- 2.4 Older Zero- and One-Equation Models
- 2.5 Transport Equations of Turbulence
- 2.6 Two-Equation Models
- 2.7 Full Second-Order Closures
- 3 COMPRESSIBLE TURBULENCE
- 3.1 Compressible Reynolds Averages
- 3.2 Compressible Reynolds-Averaged Equations
- 3.3 Compressible Reynolds Stress Transport Equation
- 3.4 Compressible Two-Equation Models
- 3.5 Illustrative Examples
- 4 CONCLUDING REMARKS
- 5 REFERENCES
- 6 AN INTRODUCTION TO SINGLE-POINT CLOSURE METHODOLOGY
- 1 INTRODUCTION
- 1.1 The Reynolds Equations
- 1.2 Mean Scalar Transport
- 1.3 The Modeling Framework
- 1.4 Second-Moment Equations
- 1.5 The WET Model of Turbulence
- 2 CLOSURE AND SIMPLIFICATION OF THE SECOND-MOMENT EQUATIONS
- 2.1 Some Basic Guidelines
- 2.2 The Dissipative Correlations
- 2.3 Non-Dispersive Pressure Interactions
- 2.4 Diffusive Transport d[sub(ij)], d[sub(i?)]
- 2.5 Determining the Energy Dissipation Rate
- 2.6 Simplifications to Second-Moment Closures
- 2.7 Non-Linear Eddy Viscosity Models
- 3 LOW REYNOLDS NUMBER TURBULENCE NEAR WALLS
- 3.1 Introduction
- 3.2 Limiting Forms of Turbulence Correlations in the Viscous Sublayer
- 3.3 Low Reynolds Number Modelling
- 3.4 Applications
- 4 REFERENCES
- INDEX
- A
- B
- C
- D
- E
- F
- G
- H
- I
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- V
- W
- Z
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