Statistical Theory and Modeling for Turbulent Flows

Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to become a knowledgeable user of turbulence models; it develops analytical tools for developers of predictive tools. Thoroughly revised and updated, this second edition includes a new fourth section covering DNS (direct numerical simulation), LES (large eddy simulation), DES (detached eddy simulation) and numerical aspects of eddy resolving simulation.

In addition to its role as a guide for students, Statistical Theory and Modeling for Turbulent Flows also is a valuable reference for practicing engineers and scientists in computational and experimental fluid dynamics, who would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation.

• Provides an excellent foundation to the fundamental theoretical concepts in turbulence.
• Features new and heavily revised material, including an entire new section on eddy resolving simulation.
• Includes new material on modeling laminar to turbulent transition.
• Written for students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences.
• Accompanied by a website housing solutions to the problems within the book.

Table of Contents

Part I Fundamentals Of Turbulence
Chapter 1 Introduction
Chapter 2 Mathematical And Statistical Background
Chapter 3 Reynolds Averaged Navier–Stokes Equations
Chapter 4 Parallel And Self-Similar Shear Flows
Chapter 5 Vorticity And Vortical Structures

Part II Single-Point Closure Modeling
Chapter 6 Models With Scalar Variables
Chapter 7 Models With Tensor Variables
Chapter 8 Advanced Topics

Part III Theory Of Homogeneous Turbulence
Chapter 9 Mathematical Representations
Chapter 10 Navier–Stokes Equations In Spectral Space
Chapter 11 Rapid Distortion Theory

Chapter Part IV Turbulence Simulation
Chapter 12 Eddy-Resolving Simulation
Chapter 13 Simulation Of Large Eddies