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Turbulence modeling

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# [[Turbulence]]
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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.
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# [[Zero equation models]]
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##[[Baldwin-Lomax model]]
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==Classes of turbulence models==
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# [[One equation models]]
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## [[Prandtl's one-equation model]]
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*RANS-based models
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## [[Baldwin-Barth model]]
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**Linear eddy-viscosity models
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## [[Spalart-Allmaras model]]
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***Algebraic models
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# [[Two equation models]]
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***One and two equation models
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## [[k-epsilon models]]
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**Non-linear eddy viscosity models and algebraic stress models
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### [[Standard k-epsilon model]]
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**Reynolds stress transport models
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### [[Realisable k-epsilon model]]
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### [[RNG k-epsilon model]]
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*Large eddy simulations
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### [[Near wall treatment for k-epsilon models]]
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## [[k-omega models]]
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*Detached eddy simulations and other hybrid models
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### [[Wilcox's k-omega model]]
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### [[SST k-omega model]]
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*Direct numerical simulations
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### [[Near wall treatment for k-omega models]]
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# [[Reynolds stress model (RSM) ]]
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==Content of turbulence modeling section==
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# [[Large eddy simulations (LES) ]]
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## [[The Smagorinsky-Lilly model]]
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# '''[[Turbulence]]'''
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## [[Dynamic Smagorinsky-Lilly model]]
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# '''[[RANS-based turbulence models]]'''
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## '''''[[Linear eddy viscosity models]]'''''
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### ''[[Algebraic turbulence models|Algebraic models]]''
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#### [[Cebeci-Smith model]]
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#### [[Baldwin-Lomax model]]
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#### [[Johnson-King model]]
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#### [[A roughness-dependent model]]
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### ''[[One equation turbulence models|One equation models]]''
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#### [[Prandtl's one-equation model]]
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#### [[Baldwin-Barth model]]
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#### [[Spalart-Allmaras model]]
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#### [[Rahman-Agarwal-Siikonen Model]]
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#### [[Wray-Agarwal(WA) turbulence Model]]
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#### [[Shuai-Agarwal turbulence Model]]
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### ''[[Two equation models]]''
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#### [[k-epsilon models]]
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##### [[Standard k-epsilon model]]
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##### [[Realizable k-epsilon model]]
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##### [[RNG k-epsilon model]]
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##### [[Near-wall treatment for k-epsilon models|Near-wall treatment]]
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#### [[k-omega models]]
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##### [[Wilcox's k-omega model]]
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##### [[Wilcox's modified k-omega model]]
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##### [[SST k-omega model]]
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##### [[Near-wall treatment for k-omega models|Near-wall treatment]]
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#### [[Two equation turbulence model constraints and limiters|Realisability issues]]
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##### [[Kato-Launder modification]]
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##### [[Durbin's realizability constraint]]
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##### [[Yap correction]]
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##### [[Realisability and Schwarz' inequality]]
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## '''''[[Nonlinear eddy viscosity models]]'''''
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### [[Explicit nonlinear constitutive relation]]
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#### [[Cubic k-epsilon]]
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#### [[Explicit algebraic Reynolds stress models (EARSM)]]
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### [[v2-f models]]
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#### <math>\overline{\upsilon^2}-f</math> model
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#### <math>\zeta-f</math> model
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## '''''[[Reynolds stress model (RSM) ]]'''''
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# '''[[Large eddy simulation (LES) ]]'''
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## [[Smagorinsky-Lilly model]]
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## [[Dynamic subgrid-scale model]]
## [[RNG-LES model]]
## [[RNG-LES model]]
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## [[Wall-adapting Llcal eddy-viscosity (WALE) model]]
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## [[Wall-adapting local eddy-viscosity (WALE) model]]
## [[Kinetic energy subgrid-scale model]]
## [[Kinetic energy subgrid-scale model]]
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## [[Near wall treatment for LES models]]
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## [[Near-wall treatment for LES models]]
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# [[Detached eddy simulation (DES) ]]
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## [[Structural modeling]]
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# [[v2-f models]]
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# '''[[Detached eddy simulation (DES) ]]'''
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# '''[[Direct numerical simulation (DNS) ]]'''
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# '''[[Turbulence near-wall modeling]]'''
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# '''[[Turbulence free-stream boundary conditions]]'''
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## [[Turbulence intensity]]
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## [[Turbulence length scale]]
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[[Category:Turbulence models]]

Latest revision as of 19:16, 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. \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
    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
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