Abstract
Subgrid nonlinear interaction and energy transfer are analyzed using direct numerical simulations of isotropic turbulence. Influences of cutoff wave number at different ranges of scale on the energetics and dynamics have been investigated. It is observed that subgrid-subgrid interaction dominates the turbulent dynamics when cut-off wave number locates in the energy-containing range while resolved-subgrid interaction dominates if it is in the dissipation range. By decomposing the subgrid energy transfer and nonlinear interaction into ‘forward’ and ‘backward’ groups according to the sign of triadic interaction, we find that individually each group has very large contribution, but the net of them is much smaller, implying that tremendous cancellation happens between these two groups.
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References
Clark RA, Ferziger JH, Reynolds WC. Evaluation of subgrid-scale models using an accurately simulated turbulent flow.J Fluid Mech, 1979, 91(1): 1–16
Domaradzki JA, Metcalfe RW, Rogallo RS, Riley JJ. Analysis of subgrid-scale eddy viscosity with use of results from direct numerical simulations.Phys Rev Lett, 1987, 58(6): 547–550
Kraichnan RH. Eddy viscosity in two and three dimensions.J Atmos Sci, 1976, 38: 2747
Domaradzki JA, Rogallo SS. Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence.Phys Fluids A, 1990, 2(3): 413–426
Zhou Y, Degrees of locality of energy transfer in the inertial range.Phys Fluids A, 1993, 5(5): 1092–1094
Brasseur JG, Wei C. Interscale dynamics and local isotropy in high Reynolds number turbulence within triadic interactions.Phys Fluids, 1994, 6(2): 842–870
Domaradzki JA, Liu W, Brachet ME. An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence.Phys Fluids A, 1993, 5(7): 1747–1759
Kerr RM, Domaradzki JA. Small-scale properties of nonlinear interactions and subgrid-scale energy transfer in isotropic turbulence.Phys Fluids, 1996, 5(7): 197–208.
Leith CE. Stochastic backscatter in a subgrid-scale mode: plane shear mixing layer.Phys Fluids A, 1990, 2(3): 297–299
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Gong, H., Chen, S. & He, G.W. An analysis of subgrid-resolved scale interactions with use of results from direct numerical simulations. Acta Mech Sinica 15, 108–115 (1999). https://doi.org/10.1007/BF02485875
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DOI: https://doi.org/10.1007/BF02485875