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Eddy viscosity subgrid scale models for homogeneous turbulence

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Macroscopic Modelling of Turbulent Flows

Part of the book series: Lecture Notes in Physics ((LNP,volume 230))

Abstract

New subgrid scale models have been developed. The first one is based upon coupling the LES to an EDQNM routine and leads to a wave number dependent eddy viscosity. For the sake of simplicity, this model can be approximated by a wave number independent eddy viscosity. This constant eddy viscosity is expressed in terms of the small eddies, so that both the large scales and the small scales are known during the simulation for better comparison with experiments. Furthermore, this model has been extended to low Reynolds number turbulence by assuming various energy spectrum shapes, to rotating turbulence and to anisotropic filtering. By comparison with experiments or other simulations, these models have demonstrated their validity for moderate anisotropy.

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References

  • ANDRE J.C., LESIEUR M. (1977) — “Influence of helicity on the evolution of isotropic turbulence at high Reynolds number” — JFM Vol. 81, pp. 187–207

    Google Scholar 

  • AUPOIX B., COUSTEIX J. (1982) — “Subgrid scale model for isotropic turbulence” — Proceedings of the Symposium of Refined modelling of flows, PARIS, Sept. 7–10 1982

    Google Scholar 

  • AUPOIX B., COUSTEIX J. (1982) — “Simple subgrid scale stresses models for homogeneous isotropic turbulence” — La Recherche Aérospatiale 1982-4

    Google Scholar 

  • BARDINA J., FERZIGER J.H., ROGALLO R.S. (1982) — “Effects of rotation on isotropic turbulence: computation. and modelling” — STANFORD University

    Google Scholar 

  • BARDINA J., FERZIGER J.H., REYNOLDS W.C. (1983) — “Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows” — Report n° TF-19 — STANFORD University

    Google Scholar 

  • BERTOGLIO J.P. (1981) — “A model of three-dimensional transfer in non isotropic homogeneous turbulence” — Turbulent Shear Flow 3, DAVIS

    Google Scholar 

  • BERTOGLIO J.P., MATHIEU J. (1983) — “Study of subgrid models for sheared turbulence” — Turbulent Shear Flow 4, KARLSRUHE

    Google Scholar 

  • BERTOGLIO J.P. (1984) — “Subgrid modelling for sheared turbulence” — Macroscopic Modelling of Turbulent Flows and Fluid Mixtures, NICE, Déc. 10–14, 1984

    Google Scholar 

  • CAMBON C., JEANDEL D., MATHIEU J. (1981) — “Spectral modelling of homogeneous non isotropic turbulence” — JFM Vol. 104, pp. 247–262

    Google Scholar 

  • CAMBON C., BERTOGLIO J.P., JEANDEL D. (1981) — “Comparison of computation with experiments” — The 1980–81 AFOSR-HTTM STANFORD Conference on Complex Turbulent Flows, Vol. III, pp. 1307–1311

    Google Scholar 

  • CHOLLET J.P., LESIEUR M. (1981) — “Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures” — JAS, Vol. 38, N° 12, pp. 2747–2757

    Google Scholar 

  • CHOLLET J.P. (1983) — “Two-point closures as a subgrid scale modelling for large eddy simulations” — Turbulent Shear Flow 4, KARLSRUHE

    Google Scholar 

  • COMTE-BELLOT G., CORRSIN S. (1971) — “Simple Eulerian time correlations for full-and narrow-band velocity signals in grid-generated, “isotropic” turbulence” — JFM, Vol. 48-2, pp. 273–337

    Google Scholar 

  • DANG K. (1983) — “Evaluation of simple subgrid scale models for the numerical simulation of homogeneous isotropic and anisotropic turbulence” — AIAA 16th Fluid and Plasma Dynamics Conference, DANVERS (MASSACHUSSETTS), July 12–14, 1983

    Google Scholar 

  • GENCE J.N., MATHIEU J. (1979) — “On the application of successive plane strains to grid-generated turbulence” — JFM, Vol. 93-3, pp. 501–513

    Google Scholar 

  • KRAICHNAN R.H. (1976) — “Eddy viscosity in two and three dimensions” — JAS, Vol. 33, pp. 1521–1536

    Google Scholar 

  • LEONARD A. (1973) — “Energy cascade in large eddy simulations of turbulent fluid flow” — Advances in Geophysics, Vol. 18 A, pp. 237–248

    Google Scholar 

  • LESIEUR M., CHOLLET J.P. (1979) — “Introduction aux théories statistiques de la turbulence pleinement développée” in Bifurcation et problèmes non linéaires, C.BARDOS, C. SCHATZMANN, J.M. LASRY, Springer Verlag

    Google Scholar 

  • LESLIE D.C., QUARINI G.L. (1979) — “The application of turbulence theory to the formulation of subgrid modelling procedures” — JFM, Vol. 91-1, pp. 65–91

    Google Scholar 

  • LILLY D.K. (1966) — “On the application of the eddy viscosity concept in the inertial subrange of turbulence” — NCAR Manuscript N° 123

    Google Scholar 

  • ORSZAG S. (1970) — “Analytical theories of turbulence” — JFM, Vol. 41-2, pp. 363–386

    Google Scholar 

  • ROGALLO R.S. (1981) — “Numerical experiments in homogeneous turbulence” — NASA TM 81315

    Google Scholar 

  • SMAGORINSKY J. (1963) — “General circulation experiment with the primitive equations” — Monthly Weather Review, Vol. 91, N° 3, pp. 99–164

    Google Scholar 

  • VIGNON J.M., CAMBON C., LESIEUR M., JEANDEL D. (1979) — “Confrontation aux expériences de turbulence thermique homogène et isotrope de calculs basés sur la théorie EDQNM” — CRAS PARIS t 288 Série B 335

    Google Scholar 

  • AUPOIX B., COUSTEIX J., LIANDRAT J. (1983)-“Effect of rotation on isotropic turbulence” — Turbulent Shear Flow 4, KARLSRUHE

    Google Scholar 

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Uriel Frisch Joseph B. Keller George C. Papanicolaou Olivier Pironneau

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© 1985 Springer-Verlag

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Aupoix, B. (1985). Eddy viscosity subgrid scale models for homogeneous turbulence. In: Frisch, U., Keller, J.B., Papanicolaou, G.C., Pironneau, O. (eds) Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15644-5_5

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  • DOI: https://doi.org/10.1007/3-540-15644-5_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15644-4

  • Online ISBN: 978-3-540-39520-1

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