A new dynamic formula for determining the coefficient of Smagorinsky model

Le Fang

doi:10.1063/2.1103202

A new dynamic formula for determining the coefficient of Smagorinsky model

Le Fang^*

^*此作品的通讯作者

中法工程师学院/国际通用工程学院

École centrale de Lyon

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

The most common method to determine the coefficient of Smagorinsky model now is to employ the Germano identity, however it is too complex and expensive in numerical calculation. In this letter we propose a new dynamic formula for determining the coefficient, which is based on the Kolmogorov equation of filtered velocity in physical space. The simplified formula is quite easy to implement in calculation. It is then verified in both homogeneous isotropic turbulence and wall-bounded turbulence by A Priori and A Posteriori tests.

源语言	英语
页（从-至）	32002
页数	1
期刊	Theoretical and Applied Mechanics Letters
卷	1
期	3
DOI	https://doi.org/10.1063/2.1103202
出版状态	已出版 - 2011

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abstract = "The most common method to determine the coefficient of Smagorinsky model now is to employ the Germano identity, however it is too complex and expensive in numerical calculation. In this letter we propose a new dynamic formula for determining the coefficient, which is based on the Kolmogorov equation of filtered velocity in physical space. The simplified formula is quite easy to implement in calculation. It is then verified in both homogeneous isotropic turbulence and wall-bounded turbulence by A Priori and A Posteriori tests.",

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AB - The most common method to determine the coefficient of Smagorinsky model now is to employ the Germano identity, however it is too complex and expensive in numerical calculation. In this letter we propose a new dynamic formula for determining the coefficient, which is based on the Kolmogorov equation of filtered velocity in physical space. The simplified formula is quite easy to implement in calculation. It is then verified in both homogeneous isotropic turbulence and wall-bounded turbulence by A Priori and A Posteriori tests.

KW - Kolmogorov equation

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KW - large-eddy simulation

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A new dynamic formula for determining the coefficient of Smagorinsky model

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