## Abstract

A one–equation variant of a two–equation k-ϵ turbulence model based on the mean dissipation–rate ϵ–equation is constructed to account for the distinct effects of low–Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k is evaluated with an algebraically prescribed length scale having only one adjustable coefficient. The stress–intensity ratio R_{a} = uv/k is devised as a function of local variables without resorting to a constant √C_{μ} = 0.3. An anisotropic function f_{k} is embedded with R_{a} to reduce its magnitude in the near–wall region. Consequently, the parameter R_{a} entering the turbulence production P_{k} is supposed to prevent the overestimation of P_{k} in flow regions where non–equilibrium effects may result in a misalignment between turbulent stress and mean strain–rate with a linear eddy–viscosity model. The Bradshaw–relation R_{a} and the coefficients of length-scale determining terms are calibrated against the fully developed turbulent channel flow; they yield good predictions. A comparative assessment of the present model with the Spalart–Allmaras (SA) one–equation model and the shear stress transport (SST) k–ω model is provided for well–documented simple and non–equilibrium turbulent flows.

Original language | English |
---|---|

Title of host publication | 46th AIAA Fluid Dynamics Conference |

Publisher | AIAA |

Number of pages | 18 |

ISBN (Print) | 9781624104367 |

Publication status | Published - 2016 |

MoE publication type | A4 Article in a conference publication |

Event | AIAA Fluid Dynamics Conference - Washington, United States Duration: 13 Jun 2016 → 17 Jun 2016 Conference number: 46 |

### Conference

Conference | AIAA Fluid Dynamics Conference |
---|---|

Country | United States |

City | Washington |

Period | 13/06/2016 → 17/06/2016 |