### Abstract

We describe a technique for the efficient computation of the dominant-scale dynamics of a fluid system when only a high-fidelity simulation is available. Such a technique is desirable when governing equations for the dominant scales are unavailable, when model reduction is impractical, or when the original high-fidelity computation is expensive. We adopt the coarse analysis framework proposed by I. G. Kevrekidis (Comm. Math. Sci. 2003), where a computational superstructure is designed to use short-time, high-fidelity simulations to extract the dominant features for a multiscale system. We apply this technique to compute the dominant features of the compressible flow through a planar diffuser. We discuss the high fidelity simulation, the identification of dominant scales, the design of a computational superstructure for time integration of the dominant-scale dynamics, and associated results. The results include accurate short and medium-time tracking of the dominant-scale dynamics for a range of parameter values for the computational superstructure. These results suggest that coarse analysis methods are useful for solving fluid flow problems of a multiscale nature.

Original language | English (US) |
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Title of host publication | 17th AIAA Computational Fluid Dynamics Conference |

State | Published - Dec 1 2005 |

Event | 17th AIAA Computational Fluid Dynamics Conference - Toronto, ON, Canada Duration: Jun 6 2005 → Jun 9 2005 |

### Publication series

Name | 17th AIAA Computational Fluid Dynamics Conference |
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### Other

Other | 17th AIAA Computational Fluid Dynamics Conference |
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Country | Canada |

City | Toronto, ON |

Period | 6/6/05 → 6/9/05 |

### All Science Journal Classification (ASJC) codes

- Fluid Flow and Transfer Processes
- Energy Engineering and Power Technology
- Aerospace Engineering
- Mechanical Engineering

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## Cite this

*17th AIAA Computational Fluid Dynamics Conference*(17th AIAA Computational Fluid Dynamics Conference).