CFD Collection: Turbulence Models

   Introduction 

   Governing Equations (GE)

       GE: Navier Stokes Equations (NS)

             NS: Time Averaging (TA) 

                    TA: Continuity, Momentum and Enthalpy Equations 

                    TA: Reynolds Stress Equations

                    TA: Kinetic Energy Equation

                    TA: Dissipation Transport Equation 

                    TA: Passive Scalar Equations

                    TA: Concentration Equation

             NS: Weight Averaging (WA) 

                    WA: Continuity, Momentum and Enthalpy Equations 

                    WA: Reynolds Stress Equations

                    WA: Kinetic Energy Equation

                    WA: Another Kinetic Energy Equation

       GE: Boundary Layer Equations (BL) 

              BL: Continuity, Momentum and Enthalpy Equations  

              BL: Reynolds Stress Equations

              BL: Kinetic Energy Equation

       GE: Boundary Layer Structure

       GE: Some Boundary Layer Parameters 

       GE: Fourier Transform of Navier Stokes Equations 

       GE: Fourier Transform of Energy Equation 

       GE: Renormalization Group Theory 

  Statistics of Turbulence(ST) 

       ST: Correlation 

       ST: Application to Velocity Fluctuations

       ST: Spectral Analysis of Turbulence (SA)

             SA: Introduction 

             SA: Frequency Spectres

             SA: Wave Number Spectres 

             SA: Some Similitudes(SS)

                   SS: Introduction

                   SS: Reynolds Similitude

                   SS: Kolmogorov Theory 

                   SS: Similarity of the Smallest Scales

                   SS: Inertial Subdomain of the Intermediary Scales 

      ST: Turbulent Scales(TS)

             TS: Temporal Turbulent Scales 

             TS: Spatial Turbulent Scales 

  Models(MD) 

      MD: Introduction to Models

      MD: Zero Equation Models(ZE) 

             ZE: Eddy Viscosity Models 

             ZE: Multiphase Model

             ZE: Mixing Length Models

             ZE: Michel Model - 1969 

             ZE: Curvature Correction Factor

             ZE: Cebeci-Smith Model - 1974 

             ZE: Baldwin-Lomax Model - 1978 

      MD: One Equation Models(OE)

             OE: Bradshaw Model

             OE: Rubesin Model 1976 

             OE: Hassid-Poreh Model 

             OE: Spalard-Allmaras Turbulent Model for Wall Roughness 

             OE: Boeing  Extension of Spalart-Allmaras Turbulent Model for

                    Wall Roughness 

             OE: ONERA Extension of Spalart-Allmaras Turbulent Model for

                    Wall Roughness 

     MD: Two Equations Models(TE)

            TE: Governing Equations 

            TE: K-Epsilon Models(KE) 

                  KE: Jones-Launder Model, 1972

                  KE: Near Wall Turbulence Model

                  KE: Near Wall Modified Model (Launder and Sharma, 1974)

                  KE: Another Form of Near Wall Model (Jones Launder,

                       1972) 

                  KE: Chien Model, 1982

                  KE: Model with Curvature Model

                  KE: Model for Inlet Conditions

                  KE: K-Epsilon For Compressible

                        TE: K-Epsilon LS Models

                        TE: K-Epsilon RNG Models

                        TE: K-Epsilon Multiphase Models

                        TE: K-Epsilon-Gamma Model

                        TE: K-Omega Model

                        TE: Q-Omega Model

                        TE: K-Sigma Model

                        TE: Theta Epsilon Model

      MD: Reynolds Stress Model(RS) 

             RS: Reynolds Stress Model, Launder (1970)

             RS: Rodi, 1972, Model of Reynolds-Stress

             RS: Reynolds Stress Model Near Wall, Distorsion of Isotropic

                    Turbulence, Launder et  al.1975 

             RS: Speziale, Sarkar and Gatski (SSG) Model for The Pressure-

                    Strain Correlation (1991) 

             RS: Pressure-Strain Models of Shih & Lumley (1985)

             RS: Fu, Launder and Tselepidakis Pressure-Strain Model (1987)

             RS: Models for Compressible

      MD: Some Supplementer Terms(SST)

             SST: Buoyancy Terms

             SST: Rotation Terms

             SST: Compressibility Terms for Equation Model

   LES 

      LES: Large Eddy Viscosity Simulation

                LES: Filters and Filtering Processes 

                LES: SGS Models 

                LES: Dynamic SGS Eddy Viscosity Model 

                LES: Other LES Models(OL)

                       OL: Lagrangian Dynamic Smagorinsky Model (Meneveau

                             et al. 1994)

                       OL: Lagrangian Dynamic Mixed Models

                       OL: Monotonically Integrated LES (MILES)

                       OL: Hyper Smagorinsky Model

                LES: LES and SGS Models for Compressible (Favre Filter)

                LES: Smagorinsky Model for Compressible Flow 

                LES: Dynamic SGS Model for Compressible

    POD 

             POD: Introduction to POD

             POD: Eigen Value Problem

             POD: Span of The Empirical Basis

             POD: Optimality

             POD: Symmetry and Homogeneity

             POD: Pattern Recognition

             POD: Conditional Sampling

    References 

 

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