A new dynamic formula for determining the coefficient of Smagorinsky model

  • Le Fang*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)32002
Number of pages1
JournalTheoretical and Applied Mechanics Letters
Volume1
Issue number3
DOIs
StatePublished - 2011

Keywords

  • Kolmogorov equation
  • Smagorinsky model
  • large-eddy simulation

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