## Abstract

An approach to reducing the two-equation k-ǫ model to a one-equation model based on the k-equation is proposed to account for the distinct effects of low-Reynolds number (LRN) and wall proximity. The dissipation rate ǫ is evaluated with an algebraically prescribed length scale having only one adjustable coefficient. The stress-intensity ratio R_{b} = u_{1}u_{2}/k is devised as a function of local variables without resorting to a constant C_{μ} = 0.3. The key parameter R_{b} entering the turbulence production Pk prevents presum-ably the overestimation of P_{k} in flow regions where non-equilibrium effects could result in a misalignment between turbulent stress and mean strain-rate with a linear eddy-viscosity model. An anisotropic function f_{k} is for-mulated to enhance the dissipation in the near-wall region. The Bradshaw-relation R_{b} and the coefficient of dissipation term are calibrated against the fully developed turbulent channel flow; however 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 |
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Title of host publication | 54th AIAA Aerospace Sciences Meeting |

Publisher | AIAA |

Number of pages | 19 |

ISBN (Print) | 9781624103933 |

DOIs | |

Publication status | Published - 2016 |

MoE publication type | A4 Article in a conference publication |

Event | AIAA Aerospace Sciences Meeting - San Diego, United States Duration: 4 Jan 2016 → 8 Jan 2016 Conference number: 54 |

### Conference

Conference | AIAA Aerospace Sciences Meeting |
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Country | United States |

City | San Diego |

Period | 04/01/2016 → 08/01/2016 |