## Samenvatting

In this paper, we propose an efficient formula for estimating the model coefficient of Smagorinsky model based subgrid scale eddy viscosity. The method allows vanishing eddy viscosity through the model coefficient vanishing in regions where the eddy viscosity should be zero. The advantage of this method is that the coefficient of the subgrid scale model is as a function of the flow solution, including the translational and rotational velocity field contributions. Furthermore, the model coefficient value is optimized without using the dynamic procedure thereby saving computational cost significantly. In addition, the method guarantees the model coefficient to be always positive with low fluctuation in space and time. For validation purposes, three test cases are chosen. The test cases are: (i) a fully developed channel flow at Re_tau=180, 395 (ii) a fully developed flow through a rectangular duct of square cross section at Re_tau=300 , and (iii) a smooth subcritical flow past a stationary circular cylinder, at a Reynolds number of 3900 , where the wake is fully turbulent but the cylinder boundary layers remain laminar. A main outcome is the good behavior of the proposed model as compared to reference data. We have also applied the proposed method to a CT-based Simplified human upper airway model (UAM), where the flow is transient.

Originele taal-2 | English |
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Artikelnummer | 055102 |

Pagina's (van-tot) | 1-26 |

Aantal pagina's | 26 |

Tijdschrift | Physics of Fluids |

Volume | 25 |

Nummer van het tijdschrift | 5 |

DOI's | |

Status | Published - 12 apr 2013 |