Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-27T16:46:37.883Z Has data issue: false hasContentIssue false
  • English
  • Français

Evaluation of subgrid-scale models using an accurately simulated turbulent flow

Published online by Cambridge University Press:  19 April 2006

Robert A. Clark ,
Joel H. Ferziger  and
W. C. Reynolds
Robert A. Clark
Affiliation:
Group TD-5, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87544
Joel H. Ferziger
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, California 94305
W. C. Reynolds
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, California 94305
Get access Rights & Permissions [Opens in a new window]

Abstract

We use a calculation of periodic homogeneous isotropic turbulence to simulate the experimental decay of grid turbulence. The calculation is found to match the experiment in a number of important aspects and the computed flow field is then treated as a realization of a physical turbulent flow. From this flow, we compute the large eddy field and the various averages of the subgrid-scale turbulence that occur in the large eddy simulation equations. These quantities are compared with the predictions of the models that are usually applied in large eddy simulation. The results show that the terms which involve the large-scale field are accurately modelled but the subgridscale Reynolds stresses are only moderately well modelled. It is also possible to use the method to predict the constants of the models without reference to experiment. Attempts to find improved models have not met with success.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 91 , Issue 1 , 9 March 1979 , pp. 1 - 16
Copyright
© 1979 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

Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Clark, R. A., Ferziger, J. H. & Reynolds, W. C. 1977 Evaluation of subgrid-scale turbulence models using a fully simulated turbulent flow. Mech. Engng Dept., Stanford Univ. Rep. TF-9.Google Scholar
Comte-Bellot, G. & Corrsin, S. 1971 Simple Eulerian time correlation of full- and narrowband velocity signals in grid-generated ‘isotropic’ turbulence. J. Fluid Mech. 48, 273.Google Scholar
Deardorff, J. W. 1970 A numerical study of three dimensional turbulent flow at large Reynolds numbers. J. Fluid Mech. 42, 453.Google Scholar
Deardorff, J. W. 1971 On the magnitude of the subgrid scale eddy coefficient. J. Comp. Phys. 7, 120.Google Scholar
Kwak, D., Reynolds, W. C. & Ferziger, J. H. 1975 Three dimensional time dependent computation of turbulent flows. Mech. Engng Dept., Stanford Univ. Rep. TF-5.Google Scholar
Leonard, A. 1973 On the Energy Cascade in Large-Eddy Simulations of Turbulent Flows. Adv. in Geophys. A18, 237.Google Scholar
Mansour, N. N., Moin, P., Reynolds, W. C. & Ferziger, J. H. 1977 Improved methods for large-eddy simulation of turbulence. Proc. Penn State Symp. Turbulent Shear Flows.
Orszag, S. A. & Patterson, G. S. 1972 Numerical Simulation of three dimensional homogeneous isotropic turbulence. Phys. Rev. Lett 28, 76.Google Scholar
Rogallo, R. 1977 An ILLIAC program for the numerical simulation of homogeneous incompressible turbulence. N.A.S.A. Tech. Memo. no. 73, 203.Google Scholar
Shaanan, S., Ferziger, J. H. & Reynolds, W. C. 1975 Numerical simulation of turbulence in the presence of shear. Mech. Engng Dept., Stanford Univ. Rep. TF-6.Google Scholar
Smagorinsky, J. 1963 General circulation experiments with the primitive equations. Mon. Weath. Rev. 93, 99.Google Scholar
Van Atta, C. W. & Chen, W. Y. 1969 Measurements of spectral energy transfer in grid turbulence. J. Fluid Mech. 38, 743.Google Scholar