- Access by Xinjiang University
Toward autonomous large eddy simulations of turbulence based on interscale energy transfer among resolved scales
Phys. Rev. Fluids 6, 104606 – Published 20 October, 2021
DOI: https://doi.org/10.1103/PhysRevFluids.6.104606
Abstract
In the present work we show how the subgrid-scale (SGS) energy transfer among resolved scales in large eddy simulations (LESs) and its wave number distribution can be obtained from the evolving LES velocity fields. This information, supplemented by the known asymptotic properties of energy flux in the inertial range, when cast in the form of a spectral eddy viscosity, allows self-contained simulations without use of extraneous SGS models. The method is tested in LESs of isotropic turbulence at high Reynolds number where the inertial range dynamics is expected and for lower-Reynolds-number decaying turbulence under conditions of the classical Comte-Bellot–Corrsin experiments.
Physics Subject Headings (PhySH)
Article Text
References (30)
- S. Toosi and J. Larsson, Anisotropic grid-adaptation in large eddy simulations, Comput. Fluids 156, 146 (2017).
- Large Eddy Simulation of Complex Engineering and Geophysical Flows, edited by B. Galperin and S. A. Orszag (Cambridge University Press, Cambridge, 1993).
- M. Lesieur and O. Metais, New trends in large-eddy simulations of turbulence, Annu. Rev. Fluid Mech. 28, 45 (1996).
- U. Piomelli, Large-eddy simulations: Achievements and challenges, Prog. Aerosp. Sci. 35, 335 (1999).
- C. Meneveau and J. Katz, Scale-invariance and turbulence models for large eddy simulations, Annu. Rev. Fluid Mech. 32, 1 (2000).
- S. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
- J. A. Domaradzki and N. A. Adams, Direct modelling of subgrid scales of turbulence in large eddy simulations, J. Turbul. 3, N24 (2002).
- M. Lesieur, O. Metais, and P. Comte, Large Eddy Simulations of Turbulence (Cambridge University Press, Cambridge, 2005).
- P. Sagaut, Large-Eddy Simulation for Incompressible Flows, 2nd ed. (Springer, Berlin, 2002).
- R. Kraichnan, Eddy viscosity in two and three dimensions, J. Atmos. Sci. 33, 1521 (1976).
- J. Chollet and M. Lesieur, Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures, J. Atmos. Sci. 38, 2767 (1981).
- M. Lesieur, Turbulence in Fluids, 3rd ed. (Kluwer Academic, Dordrecht, 1997).
- J. A. Domaradzki, Large eddy simulations of high Reynolds number turbulence based on interscale energy transfer among resolved scales, Phys. Rev. Fluids 6, 044609 (2021).
- J. Domaradzki and R. Rogallo, Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence, Phys. Fluids A 2, 413 (1990).
- J. A. Domaradzki and D. Carati, An analysis of the energy transfer and the locality of nonlinear interactions in turbulence, Phys. Fluids 19, 085112 (2007).
- Y. Zhou, Turbulence theories and statistical closure approaches, Phys. Rep. 935, 1 (2021).
- R. Rogallo, National Aeronautics and Space Administration Report No. 81315, 1981 (unpublished).
- P. Yeung and S. Pope, An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence, J. Comput. Phys. 79, 373 (1988).
- N. P. Sullivan, S. Mahalingam, and R. M. Kerr, Deterministic forcing of homogeneous, isotropic turbulence, Phys. Fluids 6, 1612 (1994).
- R. Kraichnan, The structure of isotropic turbulence at very high Reynolds numbers, J. Fluid Mech. 5, 497 (1959).
- R. Kraichnan, Inertial-range transfer in two- and three-dimensional turbulence, J. Fluid Mech. 47, 525 (1971).
- J. Domaradzki and D. Carati, A comparison of spectral sharp and smooth filters in analysis of nonlinear interactions and energy transfer in turbulence, Phys. Fluids 19, 085111 (2007).
- J. Chollet, in Turbulent Shear Flows 4, edited by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, and J. H. Whitelaw (Springer, Berlin, 1984), pp. 62–72.
- K. R. Sreenivasan, On the universality of the Kolmogorov constant, Phys. Fluids 7, 2778 (1995).
- R. Kerr, Velocity, scalar and transfer spectra in numerical turbulence, J. Fluid Mech. 211, 309 (1990).
- J. Domaradzki, Analysis of energy transfer in direct numerical simulations of isotropic turbulence, Phys. Fluids 31, 2747 (1988).
- J. A. Domaradzki, B. Teaca, and D. Carati, Locality properties of the energy flux in turbulence, Phys. Fluids 21, 025106 (2009).
- J. A. Domaradzki, R. Metcalfe, R. Rogallo, and J. Riley, Analysis of Subgrid-Scale Eddy Viscosity with Use of Results from Direct Numerical Simulations, Phys. Rev. Lett. 58, 547 (1987).
- J. A. Domaradzki, Nonlocal triad interactions and the dissipation range of isotropic turbulence, Phys. Fluids A 4, 2037 (1992).
- G. Comte-Bellot and S. Corrsin, Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence, J. Fluid Mech. 48, 273 (1971).