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. | ||
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'''The turbulent eddy viscosity is given by:''' | '''The turbulent eddy viscosity is given by:''' | ||
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C_{m} = 8.0 | C_{m} = 8.0 | ||
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==Boundary Conditions== | ==Boundary Conditions== |
Revision as of 21:16, 22 January 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.