### Abstract

An idealized model for turbulent flames is introduced. It consists of a scalar advection-react ion-diffusion equation that describes the interaction of a thin flame with a turbulent-like flow field acting on two separate scales. Rigorous asymptotic results as well as affordable and reliable direct numerical simulations are available to describe the effective large scale behavior of the idealized front; a strategy is proposed to use this framework to validate closure models for more realistic turbulent flames. Examples are given to illustrate the strategy as applied to premixed flames.

Original language | English (US) |
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Title of host publication | IUTAM Symposium on Turbulent Mixing and Combustion - Proceedings of the IUTAM Symposium |

Pages | 211-219 |

Number of pages | 9 |

Volume | 70 |

DOIs | |

State | Published - 2002 |

Event | International Union of Theoretical and Applied Mechanics Symposium on Turbulent Mixing and Combustion - Kingston, ON, Canada Duration: Jun 3 2001 → Jun 6 2001 |

### Publication series

Name | Fluid Mechanics and its Applications |
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Volume | 70 |

ISSN (Print) | 09265112 |

### Other

Other | International Union of Theoretical and Applied Mechanics Symposium on Turbulent Mixing and Combustion |
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Country | Canada |

City | Kingston, ON |

Period | 6/3/01 → 6/6/01 |

### Fingerprint

### Keywords

- Bending
- Direct numerical simulation
- Large eddy simulation
- Turbulent burning velocity

### ASJC Scopus subject areas

- Mechanical Engineering
- Mechanics of Materials
- Fluid Flow and Transfer Processes

### Cite this

*IUTAM Symposium on Turbulent Mixing and Combustion - Proceedings of the IUTAM Symposium*(Vol. 70, pp. 211-219). (Fluid Mechanics and its Applications; Vol. 70). https://doi.org/10.1007/978-94-017-1998-8_17

**A mathematical prototype to validate LES strategies for turbulent flames.** / Bourlioux, A.; Khouider, B.; Majda, A. J.

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

*IUTAM Symposium on Turbulent Mixing and Combustion - Proceedings of the IUTAM Symposium.*vol. 70, Fluid Mechanics and its Applications, vol. 70, pp. 211-219, International Union of Theoretical and Applied Mechanics Symposium on Turbulent Mixing and Combustion, Kingston, ON, Canada, 6/3/01. https://doi.org/10.1007/978-94-017-1998-8_17

}

TY - CHAP

T1 - A mathematical prototype to validate LES strategies for turbulent flames

AU - Bourlioux, A.

AU - Khouider, B.

AU - Majda, A. J.

PY - 2002

Y1 - 2002

N2 - An idealized model for turbulent flames is introduced. It consists of a scalar advection-react ion-diffusion equation that describes the interaction of a thin flame with a turbulent-like flow field acting on two separate scales. Rigorous asymptotic results as well as affordable and reliable direct numerical simulations are available to describe the effective large scale behavior of the idealized front; a strategy is proposed to use this framework to validate closure models for more realistic turbulent flames. Examples are given to illustrate the strategy as applied to premixed flames.

AB - An idealized model for turbulent flames is introduced. It consists of a scalar advection-react ion-diffusion equation that describes the interaction of a thin flame with a turbulent-like flow field acting on two separate scales. Rigorous asymptotic results as well as affordable and reliable direct numerical simulations are available to describe the effective large scale behavior of the idealized front; a strategy is proposed to use this framework to validate closure models for more realistic turbulent flames. Examples are given to illustrate the strategy as applied to premixed flames.

KW - Bending

KW - Direct numerical simulation

KW - Large eddy simulation

KW - Turbulent burning velocity

UR - http://www.scopus.com/inward/record.url?scp=84892880055&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892880055&partnerID=8YFLogxK

U2 - 10.1007/978-94-017-1998-8_17

DO - 10.1007/978-94-017-1998-8_17

M3 - Chapter

AN - SCOPUS:84892880055

SN - 9789048160747

VL - 70

T3 - Fluid Mechanics and its Applications

SP - 211

EP - 219

BT - IUTAM Symposium on Turbulent Mixing and Combustion - Proceedings of the IUTAM Symposium

ER -