## Abstract

We propose a simple yet efficient dynamic wall-model for large-eddy simulation (LES) that accurately predicts the turbulent statistics (most importantly, the predicted skin friction) and makes the LES applicable at realistic high Reynolds numbers. The pro- posed wall model stems directly from considerations of how turbulence length scales behave in the logarithmic layer, and thus in other words the method is based solidly on physical reasoning. To be applicable to separated flows, the non-equilibrium ef- fects are involved in the model, thus the model does not assume equilibrium boundary layer. Supersonic turbulent boundary layer on a flat plate at high Reynolds num- bers are first used to verify the proposed model, and then the wall-modeled LES is applied to the shock-wave/turbulent boundary layer interacting separated flow at the higher Reynolds number (freestream Mach number of 1.69 and Reynolds number of Re = 50, 000). The resulting method is shown to accurately predict equilibrium boundary layer at very high Reynolds numbers, with both realistic instantaneous fields (without overly elongated unphysical near-wall structures) and accurate statistics (both skin friction and turbulence quantities). Careful validations on the non-equilibrium separated flows will be discussed at the presentation.

Original language | English |
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Title of host publication | Proceedings of the 8th International Conference on Engineering Computational Technology, ECT 2012 |

Publisher | Civil-Comp Press |

Volume | 100 |

ISBN (Print) | 9781905088553 |

Publication status | Published - 2012 Jan 1 |

Externally published | Yes |

Event | 8th International Conference on Engineering Computational Technology, ECT 2012 - Dubrovnik, Croatia Duration: 2012 Sept 4 → 2012 Sept 7 |

### Other

Other | 8th International Conference on Engineering Computational Technology, ECT 2012 |
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Country/Territory | Croatia |

City | Dubrovnik |

Period | 12/9/4 → 12/9/7 |

## Keywords

- High reynolds number flow
- Large-eddy simulation
- Sepa- rated flow
- Wall modeling

## ASJC Scopus subject areas

- Computational Theory and Mathematics
- Civil and Structural Engineering
- Artificial Intelligence
- Environmental Engineering