### Abstract

We report further results from our a priori assessment of a multifractal subgrid-scale model for large-eddy simulation. In this paper, we compare the model's ability to recover components of the subgrid-stress tensor T*ij and the subgrid energy-production V* field in low and high Reynolds-number turbulence, (Reλ ~ 160 and Reλ ~ 2550). We find that in comparisons with DNS data, the model recovers T*ij with correlations of p ~ 0.855 and p ~ 0.635 in the lower and higher-Re cases, respectively. We also report correlations between DNS and model values for the SGS energy-production field V* of p ~ 0.860 in the lower Reynolds-number context and p ~ 0.804, in the more turbulent flow. We further examine the model's ability to recover components of the averaged subgrid-velocity field u^{sgs}, which shows correlations of p ~ 0.915. We also analyze the individual terms within the decomposition of T*ij itself. These tests in sum indicate that the present multifractal model recovers significant structural characteristics of the subgrid field. The comparisons also suggest possible higher-order refinements to the model. Finally, we set forth in some detail a multifractal model for the Reynolds stresses in the Reynolds-Averaged Navier-Stokes equations.

Original language | English (US) |
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Title of host publication | 32nd AIAA Fluid Dynamics Conference and Exhibit |

State | Published - 2002 |

Externally published | Yes |

Event | 32nd AIAA Fluid Dynamics Conference and Exhibit 2002 - St. Louis, MO, United States Duration: Jun 24 2002 → Jun 26 2002 |

### Other

Other | 32nd AIAA Fluid Dynamics Conference and Exhibit 2002 |
---|---|

Country | United States |

City | St. Louis, MO |

Period | 6/24/02 → 6/26/02 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Aerospace Engineering

### Cite this

*32nd AIAA Fluid Dynamics Conference and Exhibit*

**High reynolds-number assessment of a multifractal subgrid-scale model.** / Burton, Gregory C.; Dahm, Werner; Dowling, David R.; Powell, Kenneth G.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*32nd AIAA Fluid Dynamics Conference and Exhibit.*32nd AIAA Fluid Dynamics Conference and Exhibit 2002, St. Louis, MO, United States, 6/24/02.

}

TY - GEN

T1 - High reynolds-number assessment of a multifractal subgrid-scale model

AU - Burton, Gregory C.

AU - Dahm, Werner

AU - Dowling, David R.

AU - Powell, Kenneth G.

PY - 2002

Y1 - 2002

N2 - We report further results from our a priori assessment of a multifractal subgrid-scale model for large-eddy simulation. In this paper, we compare the model's ability to recover components of the subgrid-stress tensor T*ij and the subgrid energy-production V* field in low and high Reynolds-number turbulence, (Reλ ~ 160 and Reλ ~ 2550). We find that in comparisons with DNS data, the model recovers T*ij with correlations of p ~ 0.855 and p ~ 0.635 in the lower and higher-Re cases, respectively. We also report correlations between DNS and model values for the SGS energy-production field V* of p ~ 0.860 in the lower Reynolds-number context and p ~ 0.804, in the more turbulent flow. We further examine the model's ability to recover components of the averaged subgrid-velocity field usgs, which shows correlations of p ~ 0.915. We also analyze the individual terms within the decomposition of T*ij itself. These tests in sum indicate that the present multifractal model recovers significant structural characteristics of the subgrid field. The comparisons also suggest possible higher-order refinements to the model. Finally, we set forth in some detail a multifractal model for the Reynolds stresses in the Reynolds-Averaged Navier-Stokes equations.

AB - We report further results from our a priori assessment of a multifractal subgrid-scale model for large-eddy simulation. In this paper, we compare the model's ability to recover components of the subgrid-stress tensor T*ij and the subgrid energy-production V* field in low and high Reynolds-number turbulence, (Reλ ~ 160 and Reλ ~ 2550). We find that in comparisons with DNS data, the model recovers T*ij with correlations of p ~ 0.855 and p ~ 0.635 in the lower and higher-Re cases, respectively. We also report correlations between DNS and model values for the SGS energy-production field V* of p ~ 0.860 in the lower Reynolds-number context and p ~ 0.804, in the more turbulent flow. We further examine the model's ability to recover components of the averaged subgrid-velocity field usgs, which shows correlations of p ~ 0.915. We also analyze the individual terms within the decomposition of T*ij itself. These tests in sum indicate that the present multifractal model recovers significant structural characteristics of the subgrid field. The comparisons also suggest possible higher-order refinements to the model. Finally, we set forth in some detail a multifractal model for the Reynolds stresses in the Reynolds-Averaged Navier-Stokes equations.

UR - http://www.scopus.com/inward/record.url?scp=84896851718&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896851718&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781624101137

BT - 32nd AIAA Fluid Dynamics Conference and Exhibit

ER -