Simulation and Modeling of Turbulent Flows

Hardcover | April 30, 1999

EditorThomas B. Gatski, M. Yousuff Hussaini, John L. Lumley

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This book provides students and researchers in fluid engineering with an up-to-date overview of turbulent flow research in the areas of simulation and modeling. A key element of the book is the systematic, rational development of turbulence closure models and related aspects of modernturbulent flow theory and prediction. Starting with a review of the spectral dynamics of homogenous and inhomogeneous turbulent flows, succeeding chapters deal with numerical simulation techniques, renormalization group methods and turbulent closure modeling. Each chapter is authored by recognizedleaders in their respective fields, and each provides a thorough and cohesive treatment of the subject.

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This book provides students and researchers in fluid engineering with an up-to-date overview of turbulent flow research in the areas of simulation and modeling. A key element of the book is the systematic, rational development of turbulence closure models and related aspects of modernturbulent flow theory and prediction. Starting with...

Thomas B. Gatski is at NASA/Langley Research Center. M. Yousuff Hussaini is at NASA/Langley Research Center.

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Format:HardcoverDimensions:328 pages, 9.57 × 6.3 × 0.75 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195106431

ISBN - 13:9780195106435

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Table of Contents

PART I: Fundamental Aspects of Incompressible and Compressible Turbulent Flows John R. Lumley1. Introduction1.1. The Energy Cascade in the Spectrum in Equilibrium Flows1.2. Kolmogorov Scales1.3. Equilibrium Estimates for Dissipation1.4. The Dynamics of Turbulence2. Equilibrium and Non-Equilibrium Flows2.1. The Spectral Cascade in Non-Equilibrium Flows2.2. Delay in Crossing the Spectrum2.3. Negative Production2.4. Mixing of Fluid with Different Histories2.5. Deformation Work in Equilibrium and Non-Equilibrium Situations2.6. Alignment of Vectors2.7. Dilatational Dissipation and Irrotational Dissipation2.8. Eddy Shocklets3. Proper Orthogonal Decomposition and Wavelet Representations3.1. Coherent Structures3.2. The Role of Coherent Structures in turbulence Dynamics3.3. The POD as a Representation of Coherent Structures3.4. Low-Dimensional Models Constructed Using the POD3.5. Comparison with the Wall Region3.6. Generation of Eigenfunction from Stability Arguments3.7. Wavelet Representation3.8. Dynamics with the Wavelet Representation in a Simple Equation4. ReferencesPART II: Direct Numerical Simulation of Turbulent Flows Anthony Leonard1. 2. Problem of Numerical Simulation3. Simulation of Homogenous Incompressible Turbulence4. Wall-Bounded and Inhomogenous Flows5. Fast, Viscous Vortex Methods6. Simulation of Compressible Turbulence7. ReferencesPART III: Large Eddy Simulation Joel H. Ferziger1. Introduction2. Turbulence and its Prediction2.1. The Nature of Turbulence2.2. RANS Model2.3. Direct Numerical Simulation (DNS)3. Filtering4. Subgrid Scale Model4.1. Physics of the Subgrid Scale Term4.2. Smagorinsky Model4.3. A Priori Testing4.4. Scale Similarity Model4.5. Dynamic Procedure4.6. Spectral Models4.7. Effects of Other Strains4.8. Other Models5. Wall Models6. Numerical Methods7. Accomplishments and Prospects8. Coherent Structure Capturing8.1. The Concept8.2. Modeling Issues9. Conclusions and Recommendations10. ReferencesPART IV: Introduction to Renormalization Group Modeling of Turbulence Steven A. Orszag1. Introduction2. Perturbation Theory for the Navier-Stokes Equations3. Renormalization Group Method for Resummation of Divergent Series4. Transport Modeling5. ReferencesPART V: Modeling of Turbulent Transport Equations Charles G. Speziale1. Introduction2. Incompressible Turbulent Flows2.1. Reynolds Averages2.2. Reynolds-Averaged Equations2.3. The Closure Problem2.4. Older Zero- and One-Equation Models2.5. Transport Equations of Turbulence2.6. Two-Equation Models2.7. Full Second-Order Closures3. Compressible Turbulence3.1. Compressible Reynolds Averages3.2. Compressible Reynolds-Averaged Equations3.3. Compressible Reynolds Stress Transport Equation3.4. Compressible Two-Equation Models3.5. Illustrative Examples4. Concluding Remarks5. ReferencesPART VI: An Introduction to Single-Point Closure Methodology Brian E. Launder1. Introduction1.1. The Reynolds Equations1.2. Mean Scalar Transport1.3. The Modeling Framework1.4. Second-Moment Equations1.5. The WET Model of Turbulence2. Closure and Simplification of the Second-Moment Equations2.1. Some Basic Guidelines2.2. The Dissipative Correlations2.3. Non-Dispersive Pressure Interactions2.4. Diffusive Transport dij, diJ(Greek ltr)2.5. Determining the Energy Dissipation Rate2.6. Simplifications to Second-Moment Closures2.7. Non-Linear Eddy Viscosity Models3. Low Reynolds Number Turbulence Near Walls3.1. Introduction3.2. Limiting Forms of Turbulence Correlations in the Viscous Sublayer3.3. Low Reynolds Number Modeling4. References

Editorial Reviews

"Essential to turbulence workers and students. . . .Belongs in all technical libraries. . . .Ideal for a second course in turbulence. The book's price, under $40, should be attractive to all, especially students. It gives the most value per dollar (~11 cents per page) yet seen by thisreviewer."--Applied Mechanics Reviews