Johnson-King model

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Turbulence modeling

Turbulence

RANS-based turbulence models Linear eddy viscosity models Algebraic models Cebeci-Smith model Baldwin-Lomax model Johnson-King model A roughness-dependent 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 k-omega models Wilcox's k-omega model Wilcox's modified k-omega model SST k-omega model Near-wall treatment 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 EARSM v2-f models model 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

Detached eddy simulation (DES)

Direct numerical simulation (DNS)

Turbulence near-wall modeling

Turbulence free-stream boundary conditions Turbulence intensity Turbulence length scale

It is also categorized as half-equation model, because it essentially solves for an Ordinary Differential Equation (ODE) rather than a Partial Differential Equation (PDE) (Normally for popular turbulence models transport equations are solved which are PDE's). This model solves for a transport equation for the maximum shear stress. It was not developed to be a universal model, rather to solve only for turbulent boundary layer flows with strong adverse pressure gradient.

References

• Johnson, D.A. and King, L.S. A mathematically simple turbulence closure model for attached and separated turbulent boundary layers, AIAA Journal, 23, 1684-1692, 1985.