Simulation and Modeling of Turbulent Flows

PART I: Fundamental Aspects of Incompressible and Compressible Turbulent Flows John R. Lumley
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 Vectors
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 Eigenfunction from Stability Arguments
3.7: Wavelet Representation
3.8: Dynamics with the Wavelet Representation in a Simple Equation
4: References
PART II: Direct Numerical Simulation of Turbulent Flows Anthony Leonard
1:
2: Problem of Numerical Simulation
3: Simulation of Homogenous Incompressible Turbulence
4: Wall-Bounded and Inhomogenous Flows
5: Fast, Viscous Vortex Methods
6: Simulation of Compressible Turbulence
7: References
PART III: Large Eddy Simulation Joel H. Ferziger
1: Introduction
2: Turbulence and its Prediction
2.1: The Nature of Turbulence
2.2: RANS Model
2.3: Direct Numerical Simulation (DNS)
3: Filtering
4: Subgrid Scale Model
4.1: Physics of the Subgrid Scale Term
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
PART IV: Introduction to Renormalization Group Modeling of Turbulence Steven A. Orszag
1: Introduction
2: Perturbation Theory for the Navier-Stokes Equations
3: Renormalization Group Method for Resummation of Divergent Series
4: Transport Modeling
5: References
PART V: Modeling of Turbulent Transport Equations Charles G. Speziale
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
PART VI: An Introduction to Single-Point Closure Methodology Brian E. Launder
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 dij, diJ(Greek ltr)
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 Modeling
4: References