Simulation Modeling Turbulent Flow

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