Turbulence modeling

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