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Turbulence modeling

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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

  • Algebraic models
  • Eddy viscosity transport models, one and two equation models
  • Non-linear eddy viscosity models and algebraic stress models
  • Reynolds stress transport models
  • Detached eddy simulations and other hybrid models
  • Large eddy simulations
  • Direct numerical simulations

Content of turbulence modeling section

  1. Turbulence
  2. Algebraic models
    1. Cebeci-Smith model
    2. Baldwin-Lomax model
    3. Johnson-King model
    4. A roughness-dependent model
  3. One equation models
    1. Prandtl's one-equation model
    2. Baldwin-Barth model
    3. Spalart-Allmaras model
  4. Two equation models
    1. k-epsilon models
      1. Standard k-epsilon model
      2. Realisable k-epsilon model
      3. RNG k-epsilon model
      4. Near-wall treatment for k-epsilon models
    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 for k-omega models
    3. Two equation turbulence model constraints and limiters
      1. Kato-Launder modification
      2. Durbin's realizability constraint
      3. Yap correction
      4. Realisability and Schwarz' inequality
  5. v2-f models
    1. \overline{\upsilon^2}-f model
    2. \zeta-f model
  6. Reynolds stress model (RSM)
  7. 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
  8. Detached eddy simulation (DES)
  9. Direct numerical simulation (DNS)
  10. Turbulence near-wall modeling
  11. Turbulence free-stream boundary conditions
    1. Turbulence intensity
    2. Turbulent length scale
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