# Wray-Agarwal(WA) Turbulence Model

### From CFD-Wiki

(Difference between revisions)

(→Introduction) |
(→WA Model) |
||

Line 2: | Line 2: | ||

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:''' | ||

Line 88: | Line 88: | ||

C_{m} = 8.0 | C_{m} = 8.0 | ||

</math> | </math> | ||

- | |||

==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.