- Access by Xinjiang University
Near-autonomous large eddy simulations of turbulence based on interscale energy transfer among resolved scales
Phys. Rev. Fluids 7, 114601 – Published 8 November, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.114601
Abstract
A previously developed method for large eddy simulations (LESs), based on spectral eddy viscosity models obtained using analytical theories of turbulence, is reevaluated with a goal of maximizing its dependence on information available directly from actual LES data and minimizing necessary input from theories of turbulence. The method computes the subgrid scale (SGS) energy transfer among resolved scales and its wave number distribution from the evolving LES velocity fields. This information is supplemented by asymptotic properties of the energy flux in the inertial range leading to the form of a spectral eddy viscosity that 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 is observed in LESs using the proposed method.
Physics Subject Headings (PhySH)
Article Text
References (22)
- R. Kraichnan, The structure of isotropic turbulence at very high Reynolds numbers, J. Fluid Mech. 5, 497 (1959).
- Y. Zhou, Turbulence theories and statistical closure approaches, Phys. Rep. 935, 1 (2021).
- 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, 2747 (1981).
- M. Lesieur, Turbulence in Fluids, 3rd ed. (Kluwer Academic Publishers, Dordrecht, 1997).
- M. Lesieur, O. Metais, and P. Comte, Large Eddy Simulations of Turbulence (Cambridge University Press, Cambridge, 2005).
- 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, Large eddy simulations of high Reynolds number turbulence based on interscale energy transfer among resolved scales, Phys. Rev. Fluids 6, 044609 (2021).
- J. A. Domaradzki, Toward autonomous large eddy simulations of turbulence based on interscale energy transfer among resolved scales, Phys. Rev. Fluids 6, 104606 (2021).
- J. Chollet, Two-point closures as a subgrid-scale modeling tool for large eddy simulations, in Turbulent Shear Flows IV, edited by F. Durst and B. Launder, (Springer-Verlag, Heidelberg, 1984), pp. 62–72.
- S. Orszag, Analytical theories of turbulence, J. Fluid Mech. 41, 363 (1970).
- A. Pouquet, M. Lesieur, J. André, and C. Basdevant, Evolution of hight Reynolds number two-dimensional turbulence, J. Fluid Mech. 72, 305 (1975).
- J. André and M. Lesieur, Influence of helicity on high Reynolds number isotropic turbulence, J. Fluid Mech. 81, 187 (1977).
- M. Germano, U. Piomelli, P. Moin, and W. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids 3, 1760 (1991).
- R. Kraichnan, An almost Markovian Galilean-invariant turbulence model, J. Fluid Mech. 47, 513 (1971).
- R. Kraichnan, Inertial-range transfer in two- and three-dimensional turbulence, J. Fluid Mech. 47, 525 (1971).
- G. Eyink, Locality of turbulent cascades, Physica D 207, 91 (2005).
- Y. Zhou, Degrees of locality of energy transfer in the inertial range, Phys. Fluids A 5, 1092 (1993).
- J. A. Domaradzki, B. Teaca, and D. Carati, Locality properties of the energy flux in turbulence, Phys. Fluids 21, 025106 (2009).
- R. Rogallo, Technical Report Technical Memorandum No. 81315, National Aeronautics and Space Administration Technical Memorandum, 1981.
- 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).
