Local energy flux and subgrid-scale statistics in three-dimensional turbulence

Journal of Fluid Mechanics

Volumn 366, Issue , 1998, Pages 1-31

  Borue, Vadim ^a   Orszag, Steven A ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY TRANSFER; REYNOLDS NUMBER; STATISTICAL METHODS; STRESSES; TENSORS; THREE DIMENSIONAL; VELOCITY; VISCOSITY;

FILTERED VELOCITY GRADIENTS; FORCED TURBULENCE; LARGE EDDY SIMULATION; LOCAL ENERGY FLUX; SUBGRID SCALE STRESS TENSOR;

TURBULENCE;

EID: 0032118207     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097008306     Document Type: Article

References (26)

1. ASHURST, W. T., KERSTEIN, A. R., KERR, R. M. & GIBSON, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343-2353.
2. BARDINA, J., FERZIGER, J. H. & REYNOLDS, W. C. 1980 Improved subgrid scale models for large eddy simulation. AIAA Paper 80-1357.
3. BORUE, V. & ORSZAG, S. 1995a Forced three-dimensional homogeneous turbulence with hyperviscosity. Europhys. Lett. 29, 687-692.
4. BORUE, V. & ORSZAG, S. 1995b Self-similar decay of three-dimensional homogeneous turbulence with hyperviscosity. Phys. Rev. E 52, R856-859.
5. BORUE, V. & ORSZAG, S. 1996a Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers. J. Fluid Mech. 306 293-323.
6. BORUE, V. & ORSZAG, S. 1996b Kolmouorov's refined similarity hypothesis for hyperviscous turbulence Phys. Rev. E 53, R21-24.
7. CANTWELL, B. J. 1992 Exact solution of a restricted Fuler equation for the velocity gradient tensor. Phys. Fluids A 4, 782-793.
8. CANTWELL, B. J. 1993 On the behavior of velocity gradient tensor invariants in direct numerical simulations of turbulence. Phys. Fluids A 5, 2008 2013.
9. CLARK, R. A., FERZIGER, J. H. & REYNOLDS, W. C. 1979 Evaluation of subgrid models using an accurately simulated turbulent flow. J. Fluid Mech. 91, 1-16.
10. EYINK, G. L. 1995 Local energy flux and the refined similarity hypothesis. J. Statist. Phys. 78, 335.
11. EYINK, G. L. 1996 Large-eddy simulation and the "multifractal model" of turbulence" a priori estimates on subgrid flux and locality of energy transfer. J. Fluid Mech. (submitted).
12. FRISCH, U. 1995 Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press.
13. GERMANO, M. 1992 Turbulence: the filtering approach. J. Fluid Mech. 238, 325-336.
14. JACKSON, E., SHE, Z.-S. & ORSZAG, S. A. 1991 A case study in parallel computing: I. homogeneous turbulence on a hypercube. J. Sci. Comput. 6, 27-45.
15. KOLMOGOROV, A. N. 1941 The local structure of turbulence in incompressible viscous fluid at high Reynolds number. C. R. Acad. Sci. URSS 30, 301.
16. LEONARD, A. 1974 Energy cascade in large-eddy simulation of turbulent flows. Adv. Geophys. 18, 237.
17. LIU, S., MENEVEAU, C. & KATZ, J. 1994 On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. J. Fluid Mech. 275, 83-119.
18. MONIN, A. S. & YAGLOM, A. M. 1975 Statistical Fluid Mechanics, vol. 2. MIT Press.
19. ORSZAG, S. A. 1973 Lectures on the statistical theory of turbulence. In Fluid Dynamics (ed. R. Balian & J.-L. Peube), p. 235. Gordon and Breach.
20. REYNOLDS, W. C. 1990 The potential and limitations of direct and large eddy simulations. In Whither Turbulence? or Turbulence at Crossroads (ed. J. L. Lumley), p. 313. Springer.
21. SHE, Z.-S., JACKSON, E. & ORSZAG, S. A. 1991 Structure and dynamics of homogeneous turbulence: models and simulations. Proc. R. Soc. Lond. A 434, 101-124.
22. SMAGORINSKY, J. 1963 General circulation experiments with the primitive equations, i. the basic experiment. Mon. Weath. Rev. 91, 99.
23. SREENIVASAN, K. R., JUNEJA, A. & SURI, A. K. 1995 Scaling properties of circulation in moderate-Reynolds-number turbulent wakes. Phys. Rev. Lett. 75, 433-436.
24. VIELLEFOSSE, P. 1982 Local interaction between vorticity and shear in a perfect incompressible fluid. J. Phys. Paris 43, 837-842.
25. VIELLEFOSSE, P. 1984 Internal motion of a small element of fluid in an inviscid flow. Physica A 125, 150-162.
26. VREMAN, M., GEURTS, B. & KUERTEN, H. 1994 Realizability conditions for the turbulent stress tensor in large-eddy simulation. J. Fluid Mech. 278, 351-362.