Wilcox David C. Turbulence Modeling for CFD

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Wilcox David C. Turbulence Modeling for CFD
DCW Industries, Inc., 1994. 460 p. ISBN:0-9636051-0-0

Turbulence Mathematical Models.
Fluid Dynamics-Mathematical Models.
Introduction
Definition of an Ideal Turbulence Model
How Complex Does a Turbulence Model Have to Be?
Comments on the Physics of Turbulence
A Brief History of Turbulence Modeling
The Closure Problem
Reynolds Averaging
Correlations
Reynolds-Averaged Equations
The Reynolds-Stress Equation
Algebraic Models
Molecular Transport of Momentum
The Mixing-Length Hypothesis
Application to Free Shear Flows
The Far Wake
The Mixing Layer
The Jet
Mode Variants of the Mixing-Length Model
Cebeci-Smith Model
Baldwin-Lomax Model
Application to Wall-Bounded Flows
Channel and Pipe Flow
Boundary Layers
Separated Flows
The 1/2-Equation Model
Range of Applicability
Turbulence Energy Equation Models
The Turbulence Energy Equation
One-Equation Models
Two-Equation Models
The k-w Model
The k-e Model
Other Two-Equation Models
Closure Coefficients
Application to Free Shear Flows
Perturbation Analysis of the Boundary Layer
The Log Layer
The Defect Layer
The Viscous Sublayer
Surface Boundary Conditions
Wall Functions
Surface Roughness
Surface Mass Injection
Application to Wall-Bounded Flows
Channel and Pipe Flow
Boundary Layers
Low-Reynolds-Number Effects
Asymptotic Consistency
Transition
Separated Flows .
Range of Applicability
Effects of Compressibility
Physical Considerations
Favre Averaging
Fayre-Averaged Equations
Compressible-Flow Closure Approximations
Dilatation Dissipation
Compressible Law of the Wall
Compressible Boundary Layers
Shock-Induced Boundary-Layer Separation
Beyond the Boussinesq Approximation
Boussinesq-Approximation Deficiencies
Nonlinear Constitutive Relations
Second-Order Closure Models
Closure Approximations
Launder-Reece-Rodi Model
Wilcox Multiscale Model
Application to Homogeneous Turbulent Flows
Application to Free Shear Flows
Application to Wall-Bounded Flows
Surface Boundary Conditions
Channel and Pipe Flow
Boundary Layers
Application to Separated Flows
Range of Applicability
Numerical Considerations
Multiple Time Scales and Stiffness
Numerical Accuracy Near Boundaries
Solid Surfaces
Turbulent/Nonturbulent Interfaces .
Parabolic Marching Methods
Elementary Time-Marching Methods
Block-Implicit Methods
Solution Convergence and Grid Sensitivity
New Horizons
Background Information
Direct Numerical Simulation
Large Eddy Simulation
Chaos
Cartesian Tensor Analysis
Rud_iments of Perturbation Methods
Companion Software
C.1 Overview
C.1.1 Program Structure
C.1.2 Program Input
C.1.3 Program Output
C.2 Free Shear Flows
C.2.1 Program WAKE: Far Wake
C.2.2 Program MIXER: Mixing Layer
C.2.3 Program JET: Plane, Round and Radial Jet
C.2.4 Program PLOTF: Plotting Utility
Channel and Pipe Flow
C.3.1 Program PIPE: Channel and Pipe Flow
C.3.2 Program PLOTP: Plotting Utility
Boundary-Layer Perturbation Analysis
C.4.1 Program SUBLAY: Viscous Sublayer
C.4.2 Program DEFECT: Defect Layer
C.4.3 Program PLOTS: Sublayer Plotting Utility
C.4.4 Program PLOTD: Defect-Layer Plotting Utility
Miscellaneous Routines
C.5.1 Function ERF: Error Function
C.5.2 Subroutine NAMSYS: Fortran Portability
C.5.3 Subroutine RKGS: Runge-Kutta Integration
C.5.4 Subroutine RTNI: Newton's Iterations
C.5.5 Subroutine TRI: Tridiagonal Matrix Inversion
Diskette Contents
D Program EDDYBL
D.1 Overview
D.l.1 Acknowledgments
D.1.2 Required Hardware and Software
D.2 Getting Started Quickly
D.3 Installing SETEBL
D.3.1 Boot-Console Installation
D.3.2 Remote-Terminal Installation
D.4 Installing EDDYBL
D.5 Running a General Case
Preliminary Operations
Units Selection
Main Parameters
Taking a Lunch Break
Edge/Wall Conditions
Preparing Edge/Wall Condition Data Files
Generating Edge/Wall Conditions
Initial Profiles
Selecting a Turbulence Model
Logical Unit Numbers and Plotting Files
Running the Boundary-Layer Program
Restart Run
D.5.13 Gas Properties and Profile Printing
D.5.14 Selecting Laminar, Transitional or Turbulent Flow
Applicability and Limitations
EDDYBL Output Parameters
Program PLOTEB: Plotting Utility
Adapting to Other Compilers/Systems
Compile and Link Commands
Additional Technical Information
D
.11. Mean-Flow Equations
D.11.2 k-w and Multiscale Model Equations
D.11.3 k-e Model Equations
D.11.4 Transformed Equations
Software Package Modules
Plotting Program Details
E.1 Font Files
E.2 Video Devices
E.3 Plotting Colors
E.4 Hardcopy Devices
Bibliography
Index
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