Simulation and modeling of turbulent flows

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 modern turbulent 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 recognized leaders in their respective fields, and each provides a thorough and cohesive treatment of the subject.

Author Notes

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

Part I Fundamental Aspects of Incompressible and Compressible Turbulent FlowsJohn 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 FlowsAnthony Leonard

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 SimulationJoel 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 TurbulenceSteven 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 EquationsCharles 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 MethodologyBrian E. Launder

1 Introduction

1.1 The Reynolds Equations

Mevcut:*

Bound With These Titles

On Order

Özet

Özet

Author Notes

Table of Contents