Simulation and Modeling of Turbulent Flows

by Gatski, Thomas B.; Hussaini, M. Yousuff; Lumley, John L.

• ISBN13: 9780195106435
• ISBN10: 0195106431
• Format: Hardcover
• Copyright: 1996-07-11
• Publisher: Oxford University Press

Summary

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.

Table of Contents

Fundamental Aspects of Incompressible and Compressible Turbulent Flows

Introduction

The Energy Cascade in the Spectrum in Equilibrium Flows

Kolmogorov Scales

Equilibrium Estimates for Dissipation

The Dynamics of Turbulence

Equilibrium and Non-Equilibrium Flows

The Spectral Cascade in Non-Equilibrium Flows

Delay in Crossing the Spectrum

Negative Production

Mixing of Fluid with Different Histories

Deformation Work in Equilibrium and Non-Equilibrium Situations

Alignment of Vectors

Dilatational Dissipation and Irrotational Dissipation

Eddy Shocklets

Proper Orthogonal Decomposition and Wavelet Representations

Coherent Structures

The Role of Coherent Structures in turbulence Dynamics

The POD as a Representation of Coherent Structures

Low-Dimensional Models Constructed Using the POD

Comparison with the Wall Region

Generation of Eigenfunction from Stability Arguments

Wavelet Representation

Dynamics with the Wavelet Representation in a Simple Equation

References

Direct Numerical Simulation of Turbulent Flows

Problem of Numerical Simulation

Simulation of Homogenous Incompressible Turbulence

Wall-Bounded and Inhomogenous Flows

Fast, Viscous Vortex Methods

Simulation of Compressible Turbulence

References

Large Eddy Simulation

Introduction

Turbulence and its Prediction

The Nature of Turbulence

RANS Model

Direct Numerical Simulation (DNS)

Filtering

Subgrid Scale Model

Physics of the Subgrid Scale Term

Smagorinsky Model

A Priori Testing

Scale Similarity Model

Dynamic Procedure

Spectral Models

Effects of Other Strains

Other Models

Wall Models

Numerical Methods

Accomplishments and Prospects

Coherent Structure Capturing

The Concept

Modeling Issues

Conclusions and Recommendations

References

Introduction to Renormalization Group Modeling of Turbulence

Introduction

Perturbation Theory for the Navier-Stokes Equations

Renormalization Group Method for Resummation of Divergent Series

Transport Modeling

References

Modeling of Turbulent Transport Equations

Introduction

Incompressible Turbulent Flows

Reynolds Averages

Reynolds-Averaged Equations

The Closure Problem

Older Zero- and One-Equation Models

Transport Equations of Turbulence

Two-Equation Models

Full Second-Order Closures

Compressible Turbulence

Compressible Reynolds Averages

Compressible Reynolds-Averaged Equations

Compressible Reynolds Stress Transport Equation

Compressible Two-Equation Models

Illustrative Examples

Concluding Remarks

References

An Introduction to Single-Point Closure Methodology

Introduction

The Reynolds Equations

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