Turbulence modeling

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Revision as of 19:14, 10 April 2021

Turbulence modeling is a key issue in most CFD simulations. Virtually all engineering applications are turbulent and hence require a turbulence model.

Classes of turbulence models

• RANS-based models
  • Linear eddy-viscosity models
    • Algebraic models
    • One and two equation models
  • Non-linear eddy viscosity models and algebraic stress models
  • Reynolds stress transport models

• Large eddy simulations

• Detached eddy simulations and other hybrid models

• Direct numerical simulations

Content of turbulence modeling section

1. Turbulence
2. RANS-based turbulence models
   1. Linear eddy viscosity models
      1. Algebraic models
         1. Cebeci-Smith model
         2. Baldwin-Lomax model
         3. Johnson-King model
         4. A roughness-dependent model
      2. One equation models
         1. Prandtl's one-equation model
         2. Baldwin-Barth model
         3. Spalart-Allmaras model
         4. Rahman-Agarwal-Siikonen Model
         5. Wray-Agarwal(WA) turbulence Model
         6. Shuai-Agarwal turbulence Model
      3. Two equation models
         1. k-epsilon models
            1. Standard k-epsilon model
            2. Realizable k-epsilon model
            3. RNG k-epsilon model
            4. Near-wall treatment
         2. k-omega models
            1. Wilcox's k-omega model
            2. Wilcox's modified k-omega model
            3. SST k-omega model
            4. Near-wall treatment
         3. Realisability issues
            1. Kato-Launder modification
            2. Durbin's realizability constraint
            3. Yap correction
            4. Realisability and Schwarz' inequality
   2. Nonlinear eddy viscosity models
      1. Explicit nonlinear constitutive relation
         1. Cubic k-epsilon
         2. Explicit algebraic Reynolds stress models (EARSM)
      2. v2-f models
         1. model
         2. model
   3. Reynolds stress model (RSM)
3. Large eddy simulation (LES)
   1. Smagorinsky-Lilly model
   2. Dynamic subgrid-scale model
   3. RNG-LES model
   4. Wall-adapting local eddy-viscosity (WALE) model
   5. Kinetic energy subgrid-scale model
   6. Near-wall treatment for LES models
   7. Structural modeling
4. Detached eddy simulation (DES)
5. Direct numerical simulation (DNS)
6. Turbulence near-wall modeling
7. Turbulence free-stream boundary conditions
   1. Turbulence intensity
   2. Turbulence length scale