Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-18T23:25:54.635Z Has data issue: false hasContentIssue false
  • English
  • Français

Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence

Published online by Cambridge University Press:  20 April 2006

Charles G. Speziale
Charles G. Speziale
Affiliation:
Princeton University, Princeton, XJ 08544
Get access Rights & Permissions [Opens in a new window]

Abstract

The modelling of the subgrid-scale stresses in the large-eddy simulation of turbulence is examined from a theoretical standpoint. While there are a variety of approaches that have been proposed, it is demonstrated that one of the more recent models gives rise to equations of motion for the large eddies of turbulence which are not Galilean-invariant. Consequently, this model cannot be of any general applicability, since it is inconsistent with the basic physics of the problem, which requires that the description of the turbulence be the same in all inertial frames of reference. Alternative models that have been proposed which are properly invariant are discussed and compared.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 156 , July 1985 , pp. 55 - 62
Copyright
© 1985 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arfken, G. 1970 Mathematical Methods for Physicists. Academic.
Bardina, J., Ferziger, J. H. & Reynolds, W. C. 1983 Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows. Stanford Univ. Tech. Rep. TF-19.
Biringen, S. & Reynolds, W. C. 1981 Large-eddy simulation of the shear-free turbulent boundary layer. J. Fluid Mech. 103, 53–63.Google Scholar
Clark, R. A., Ferziger, J. H. & Reynolds, W. C. 1979 Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J. Fluid Mech. 91, 1–16.Google Scholar
Deardorff, J. W. 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453–480.Google Scholar
Leonard, A. 1974 On the energy cascade in large-eddy simulations of turbulent flows. Adv. Geophys. A 18, 237–248.Google Scholar
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377.Google Scholar
Reynolds, O. 1895 On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. R. Soc. Lond. A 186, 123–164.Google Scholar
Smagorinsky, J. 1963 General circulation experiments with the primitive equations. Mon. Weath. Rev. 93, 99–165.Google Scholar