A family of dynamic subgrid-scale models consistent with asymptotic material frame indifference

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Abstract

It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.

Original languageEnglish
Pages (from-to)2483-2486
Number of pages4
JournalJournal of the Physical Society of Japan
Volume68
Issue number8
Publication statusPublished - 1999 Aug

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scale models
dynamic models
turbulence
fluids
Reynolds stress
turbulent flow

Keywords

  • Cross term
  • Dynamic subgrid-scale model
  • Large-eddy simulation
  • Leonard term
  • Material frame indifference
  • Rotation
  • Turbulence

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "A family of dynamic subgrid-scale models consistent with asymptotic material frame indifference",
abstract = "It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.",
keywords = "Cross term, Dynamic subgrid-scale model, Large-eddy simulation, Leonard term, Material frame indifference, Rotation, Turbulence",
author = "Yutaka Shimomura",
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pages = "2483--2486",
journal = "Journal of the Physical Society of Japan",
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T1 - A family of dynamic subgrid-scale models consistent with asymptotic material frame indifference

AU - Shimomura, Yutaka

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N2 - It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.

AB - It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.

KW - Cross term

KW - Dynamic subgrid-scale model

KW - Large-eddy simulation

KW - Leonard term

KW - Material frame indifference

KW - Rotation

KW - Turbulence

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