Filter size definition in anisotropic subgrid models for large eddy simulation on irregular grids

ABSTRACT

The definition of the characteristic filter size to be used for subgrid scales models in large eddy simulation using irregular grids is still an unclosed problem. We investigate some different approaches to the definition of the filter length for anisotropic subgrid scale models and we propose a tensorial formulation based on the inertial ellipsoid of the grid element. The results demonstrate an improvement in the prediction of several key features of the flow when the anisotropicity of the grid is explicitly taken into account with the tensorial filter size.

KEYWORDS:

• Turbulence modeling
• Large Eddy simulation
• discontinuous Galerkin methods
• compressible flows
• dynamic models

AMS SUBJECT CLASSIFICATION:

• 65M60
• 65Z05
• 76F25
• 76F50
• 76F65

Acknowledgements

We would like to thank M. Breuer and L. Wei for providing the data of the reference DNS. We acknowledge that the results of this research have been achieved using the computational resources made available at CINECA (Italy) by the high performance computing projects ISCRA-C HP10C2YR5F.

Disclosure statement

No potential conflict of interest was reported by the authors.