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Simulation and Modeling of Turbulent Flows

by John L. Lumley

  • ISBN: 9780195106435
  • ISBN10: 0195106431

Simulation and Modeling of Turbulent Flows

by John L. Lumley

  • Binding: Hardcover
  • Publisher: Oxford Univ Pr on Demand
  • Publish date: 04/01/1996
  • ISBN: 9780195106435
  • ISBN10: 0195106431
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Description: 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
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