On the refinement of the rotation rate based Smagorinsky model using velocity field gradients

In this paper, a gradient-based refinement of the rotation rate-based Smagorinsky (RoSM) subgrid scale (SGS) model is presented. The refined model satisfies the Galilean invariance condition generally, without any assumptions. The suggested model retains the advantages offered by the original RoSM,...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 29; no. 10
Main Authors Ghorbaniasl, Ghader, Ricks, Nathan, Siozos-Rousoulis, Leonidas, Degrez, Gérard, Contino, Francesco
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.10.2017
Subjects
Channel flow
Computational fluid dynamics
Control algorithms
Control stability
Cylinders
Fluid dynamics
Mathematical models
Numerical stability
Physics
Rotation
Subcritical flow
Turbulent flow
Variation
Velocity distribution
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Summary:In this paper, a gradient-based refinement of the rotation rate-based Smagorinsky (RoSM) subgrid scale (SGS) model is presented. The refined model satisfies the Galilean invariance condition generally, without any assumptions. The suggested model retains the advantages offered by the original RoSM, thus being simple and efficient. It provides a Smagorinsky model constant that is always positive, with low fluctuations in space and time, without the need for any numerical stability control algorithms. The validity of the proposed SGS model is shown through three test cases, namely, a turbulent channel flow, subcritical flow past a stationary cylinder, and a spatially developing free round jet. The refined RoSM provides comparable results with the dynamic Smagorinsky, while matching well to reference data. The refined RoSM is shown to be computationally efficient, being 20% faster than the dynamic Smagorinsky model.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5008764