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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

  • 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
      3. 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
        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. \overline{\upsilon^2}-f model
        2. \zeta-f 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
  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
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