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A New Subgrid Characteristic Length for LES

  • F. X. TriasEmail author
  • A. Gorobets
  • A. Oliva
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 25)

Abstract

Large-eddy simulation (LES) equations result from applying a spatial commutative filter, with filter length \(\varDelta \), to the Navier–Stokes equations
$$\begin{aligned} \partial _t \overline{\varvec{u}} + \left( \overline{\varvec{u}} \cdot \nabla \right) \overline{\varvec{u}} = \nu \nabla ^2\overline{\varvec{u}} - \nabla \overline{p} - \nabla \cdot \tau ( \overline{\varvec{u}} ) , \quad \nabla \cdot \overline{\varvec{u}} = 0, \end{aligned}$$
where \(\overline{\varvec{u}}\) is the filtered velocity and \(\tau (\overline{\varvec{u}})\) is the subgrid stress (SGS) tensor and aims to approximate the effect of the under-resolved scales, i.e. \(\tau (\overline{\varvec{u}} ) \approx \overline{\varvec{u}\otimes \varvec{u}} - \overline{\varvec{u}} \otimes \overline{\varvec{u}}\). Most of the difficulties in LES are associated with the presence of walls where SGS activity tends to vanish. Therefore, apart from many other relevant properties, LES models should properly capture this feature [1].

Notes

Acknowledgements

This work has been financially supported by the Ministerio de Economía y Competitividad, Spain (ENE2017-88697-R), and a Ramón y Cajal postdoctoral contract (RYC-2012-11996). Calculations have been performed on the IBM MareNostrum supercomputer at the Barcelona Supercomputing Center. The authors thankfully acknowledge these institutions.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Heat and Mass Transfer Technological Center, Technical University of CataloniaTerrassaSpain
  2. 2.Keldysh Institute of Applied MathematicsMoscowRussia

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