Wray-Agarwal(WA) Turbulence Model
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The Wray-Agarwal (WA 2017m) model is a one-equation linear eddy viscosity model that was derived from two-equation <math>k-\omega</math> closure. It combines the most desirable characteristics of the one-equation <math>k-\epsilon</math> model and one-equation <math>k-\omega</math> model, analogous to the SST <math>k-\omega</math> model which combines best features of two-equation <math>k-\epsilon</math> and <math>k-\omega</math> models. | The Wray-Agarwal (WA 2017m) model is a one-equation linear eddy viscosity model that was derived from two-equation <math>k-\omega</math> closure. It combines the most desirable characteristics of the one-equation <math>k-\epsilon</math> model and one-equation <math>k-\omega</math> model, analogous to the SST <math>k-\omega</math> model which combines best features of two-equation <math>k-\epsilon</math> and <math>k-\omega</math> models. | ||
- | ==WA Model== | + | ==WA Model (WA 2017m) == |
'''The turbulent eddy viscosity is given by:''' | '''The turbulent eddy viscosity is given by:''' | ||
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- | ''' | + | '''where''' |
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:<math> | :<math> | ||
{{\sigma }_{k\varepsilon }}=1.0 | {{\sigma }_{k\varepsilon }}=1.0 | ||
+ | </math> | ||
+ | |||
+ | :<math> | ||
+ | {{\sigma}_{R}}={{f}_{1}}\left( {{\sigma}_{k\omega }}-{{\sigma}_{k\varepsilon }} \right)+{{\sigma}_{k\varepsilon }} | ||
</math> | </math> | ||
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C_{m} = 8.0 | C_{m} = 8.0 | ||
</math> | </math> | ||
- | |||
==Boundary Conditions== | ==Boundary Conditions== | ||
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==References== | ==References== | ||
- | *{{reference-paper|author=X. Han, T. J. Wray, and R. K. Agarwal | + | *{{reference-paper|author=X. Han, T. J. Wray, and R. K. Agarwal|year=2017|title=Application of a New DES Model Based on Wray-Agarwal Turbulence Model for Simulation of Wall-Bounded Flows with Separation|rest= AIAA Paper 2017-3966, June 2017}} |
[[Category:Turbulence models]] | [[Category:Turbulence models]] |
Latest revision as of 17:19, 19 February 2021
Contents |
Introduction
The Wray-Agarwal (WA 2017m) model is a one-equation linear eddy viscosity model that was derived from two-equation closure. It combines the most desirable characteristics of the one-equation model and one-equation model, analogous to the SST model which combines best features of two-equation and models.
WA Model (WA 2017m)
The turbulent eddy viscosity is given by:
The model solves for the variable using the following equation:
where
and d is the minimum distance to the nearest wall.
The model constants are:
Boundary Conditions
Solid smooth wall:
Freestream:
References
- X. Han, T. J. Wray, and R. K. Agarwal (2017), "Application of a New DES Model Based on Wray-Agarwal Turbulence Model for Simulation of Wall-Bounded Flows with Separation", AIAA Paper 2017-3966, June 2017.