Small-scale properties of nonlinear interactions and subgrid-scale energy transfer in isotropic turbulence

Physics of Fluids

Volumn 8, Issue 1, 1996, Pages 197-208

  Kerr, Robert M ^a   Domaradzki, J Andrzej ^b   Barbier, Gilles ^c  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b University of Southern California ^*  (United States)

^c ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY; INTERACTIONS; ISOTROPIC; NONLINEAR; TRANSFER; TURBULENCE;

EID: 0029671507     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868827     Document Type: Article

References (42)

1. J. A. Domaradzki and R. S. Rogallo, "Local energy transfer and nonlocal interactions in homogeneous, Isotropic turbulence," Phys. Fluids A 2, 413 (1990).
2. P. K. Yeung and J. G. Brasseur, "The response of isotropic turbulence to isotropic and anisotropic forcing at the large scales," Phys. Fluids A 3, 413 (1991).
3. K. Ohkitani and S. Kida, "Triad interactions in a forced turbulence," Phys. Fluids A4, 794 (1992).
4. J. A. Domaradzki, W. Liu, C. Härtel, and L. Kleiser, "Energy transfer in numerically simulated wall-bounded turbulent flows," Phys. Fluids A 6, 1583 (1994).
5. R. A. Clark, J. H. Ferziger, and W. C. Reynolds, "Evaluation of subgridscale models using an accurately simulated turbulent flow," J. Fluid Mech. 91, 1 (1979).
6. J. A. Domaradzki, R. W. Metcalfe, R. S. Rogallo, and J. J. Riley, "Analysis of subgrid-scale eddy viscosity with use of results from direct numerical simulations," Phys. Rev. Lett. 58, 547 (1987).
7. J. A. Domaradzki, W. Liu, and M. E. Brachet, "An analysis of subgridscale interactions in numerically simulated turbulence," Phys. Fluids A 5, 1747 (1993).
8. S. Liu, C. Meneveau, and J. Katz, "On the properties of similarity subgridscale models as deduced from measurements in a turbulent jet," J. Fluid Mech. 275, 83 (1994).
9. R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic turbulence," J. Fluid Mech. 153, 31 (1985).
10. E. D. Siggia, "Numerical study of small scale intermittency in threedimensional turbulence," J. Fluid Mech. 107, 385 (1981).
11. Z. S, She, E. Jackson, and S. A. Orszag, "Intermittent vortex structures in homogeneous isotropic turbulence," Nature 344, 226 (1990).
12. A. Vincent and M. Meneguzzi, "The spatial structure and statistical properties of homogeneous turbulence," J. Fluid Mech. 225, 1 (1991).
13. D. I. Pullin and P. G. Saffman, "On the Lundgren-Townsend model of turbulent fine scales in turbulence," Phys. Fluids A 25, 126 (1993).
14. Z.-S. She and S. A. Orszag, "Physical model of intermittency: inertialrange non-Gaussian statistics," Phys. Rev. Lett. 66, 1701 (1991).
15. R. M. Kerr and F. Hussain, "Simulation of vortex reconnection," Physica D 37, 474 (1989).
16. D. C. Leslie and G. L. Quarini, "The application of turbulence theory to the formulation of subgrid modelling procedures," J. Fluid Mech. A 91, 65 (1979).
17. R. H. Kraichnan, "Eddy viscosity in two and three-dimensions," J. Atmos. Sci. 33, 1521 (1976).
18. C. E. Leith, "Stochastic backscatter in a subgrid-scale mode: plane shear mixing layer," Phys. Fluids 2, 297 (1990).
19. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgridscale eddy viscosity model," Phys. Fluids A 3, 1760 (1991).
20. U. Piomelli, W. H. Cabot, P. Moin, and S. Lee, "Subgrid-scale backscatter in turbulent and transitional flows," Phys. Fluids A 3, 1766 (1991).
21. M. Germano, "Turbulence: the filtering approach," J. Fluid Mech. 238, 325 (1992).
22. P. J. Mason and D. J. Thomson, "Stochastic backscatter in large-eddy simulations of boundary layers," J. Fluid Mech. 242, 51 (1992).
23. P. P. Sullivan and C.-H. Moeng, "An evaluation of the dynamic subgrid scale model in buoyancy driven flows," in Tenth Symposium on Turbulence and Diffusion (American Meteorological Society, Boston, MA, 1992).
24. D. Carati, S. Ghosal, and P. Moin, "On the representation of backscatter in dynamic localization models," Phys. Fluids 7, 606 (1995).
25. J. R. Herring and R. M. Kerr, "Development of enstrophy and spectra in numerical turbulence," Phys. Fluids A 5, 2792 (1993).
26. J. Smagorinsky, "General circulation experiments with the primitive equations," Mon. Weath. Rev. 93, 99 (1963).
27. M. E. Brachet, "Direct simulation of three-dimensional turbulence in the Taylor-Green vortex," Fluid Dyn. Res. 8, 1 (1991).
28. G. R. Ruetsch and M. R. Maxey, "Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence," Phys. Fluids A 3, 1587 (1991).
29. A. Vincent and M. Meneguzzi, "On the dynamics of vorticity tubes in homogeneous turbulence," J. Fluid Mech. 258, 245 (1993).
30. C. Meneveau, T. S. Lund, and P. Moin, "Search for subgrid scale parametrization by projection pursuit regression," in Proceedings of the Summer Program, Center for Turbulence Research, NASA Ames (Stanford University, Stanford, CA, 1992), p. 27.
31. T. S. Lund and E. A. Novikov, "Parametrization of subgrid-scale stress by the velocity gradient tensor," in Annual Research Briefs, Center for Turbulence Research, NASA Ames (Stanford University, Stanford, CA, 1992), p. 27.
32. O. J. McMillan and J. H. Ferziger, "Direct testing of subgrid-scale models." AIAA J. 17, 1340 (1979).
33. J. Bardina, J. H. Ferziger, and W. C. Reynolds, "Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows," Ph.D. thesis, Report No. TF-19, Mechanical Engineering, Stanford University, Stanford, CA, 1983.
34. J. R. Chasnov, "Simulation of the Kolmogoroff inertial subrange using an improved subgrid model," Phys. Fluids A3, 188 (1991).
35. U. Schumann, "Stochastic backscatter of turbulence energy and scalar variance from random subgrid-scale fluxes" (1994).
36. W. T. Ashurst, A. R. Kerstein, R. M. Kerr, and C. H. Gibson, "Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence," Phys. Fluids 30, 2343 (1987).
37. R. M. Kerr, "Histograms of helicity and strain in numerical turbulence," Phys. Rev. Lett. 59, 783 (1987).
38. P. Viellefosse, "Local interaction between vorticity and shear in a perfect incompressible fluid," J. de Physique 43, 837 (1982).
39. R. M. Kerr, "Evidence for a singularity of the three-dimensional incompressible Euler equations," Phys. Fluids A 5, 1725 (1993).
40. V. Yakhot and S. A. Orszag, "Renormalization group analysis of turbuy lence. I. Basic theory," J. Sci. Comput. 1, 3 (1986).
41. T. S. Lund, "On dynamic models for large eddy simulations," in Annual Research Briefs, Center for Turbulence Research, NASA Ames (Stanford University, Stanford, CA, 1991), p. 177.
42. J. A. Domaradzki, W. Liu, "Approximation of subgrid-scale energy transfer based on the dynamics of resolved scales of turbulence," Phys. Fluids A, in press (1995).