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VLES modelling with the Renormalization Group

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Abstract

In a Very-Large-Eddy Simulation (VLES), the filterwidth-wavenumber can be outside the inertial range, and simple subgrid models have to be replaced by more complicated (‘RANS-like’) models which can describe the transport of the biggest eddies. One could approach this by using a RANS model in these regions, and modify the lengthscale in the model for the LES-regions[1–3]. The problem with these approaches is that these models are specifically calibrated for RANS computations, and therefore not suitable to describe inertial range quantities. We investigated the construction of subgrid viscosity and transport equations without any calibrated constants, but these are calculated directly form the Navier-Stokes equation by means of a Renormalization Group (RG) procedure. This leads to filterwidth dependent transport equations and effective viscosity with the right limiting behaviour (DNS and RANS limits).

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References

  1. Speziale, C G. Turbulence Modelling for Time-dependent RANS and VLES: A Review. AIAA J., 1998, 36(2): 173–184

    Article  MATH  Google Scholar 

  2. Spalart, P R, Jou, W -H, Strelets, M, et al. Comments on the Feasibility of LES for Wings, and on a Hybrid RANS/LES Approach. In Advances in DNS/LES, 1st AFOSR Int. Conf. on DNS/LES, Columbus Oh., Greyden Press, 1997

    Google Scholar 

  3. Strelets, M. Detached Eddy Simulation of Massively Separated Flows. In 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA, 2001

  4. Dejoan, A, Schiestel, R. Large-eddy Simulations of Nonequilibrium Pulsed Turbulent Flow Using Transport Equations Subgrid Scale Model. In Turbulence and Shear Flow Phenomena, Second International Symposium. KTH, Stockholm, 2001

  5. Yakhot, V, Orszag, S A. Renormalization Group Analysis of Turbulence. J. Sci. Comput., 1986, 1: 3–51

    Article  MATH  MathSciNet  Google Scholar 

  6. Giles, M J. Turbulence Renormalization Group Calculations Using Statistical Mechanics Methods. Phys. Fluids, 1994, 6(2): 595–604

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Giles, M J. Statistical Mechanics Renormalization Group Calculations for Inhomogeneous Turbulence. Phys. Fluids, 1994, 6(11): 3750–3764

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. De Langhe, C, Merci, B, Dick, E. On the Construction of Vles Subgrid Models with the Renormalization Group. In ECCOMAS Computational Fluid Dynamics 2001 Conference, Swansea, 2001

  9. Le, H, Moin, P, Kim, J. Direct Numerical Simulation of Turbulent Flow Over a Backward-facing Step. J. Fluid. Mech., 1997, 330: 349–374

    Article  MATH  ADS  Google Scholar 

  10. Eaton, J K, Johnston, J P. Turbulent Flow Reattachment: An Experimental Study of the Flow and Structure Behind a Backward Facing Step. Technical Report MD39, STANF U DEP MEC, 1980

  11. Temmerman, L, Leschziner, M A. Large-eddy Simulation of Separated Flow in a Streamwise Periodic Channel Constriction. In Turbulence and Shear Flow Phenomena, Second International Symposium. KTH, Stockholm, 2001

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Authors and Affiliations

  1. Dept. of Flow, Heat and Combustion Mechanics, Ghent University, Sint-Pietersnieuwstraat 41, B-9000, Gent, Belgium

    Chris De Langhe, Bart Merci, Koen Lodefier & Erik Dick

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  1. Chris De Langhe
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  2. Bart Merci
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  3. Koen Lodefier
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  4. Erik Dick
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De Langhe, C., Merci, B., Lodefier, K. et al. VLES modelling with the Renormalization Group. J. of Therm. Sci. 12, 328–331 (2003). https://doi.org/10.1007/s11630-003-0039-3

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  • DOI: https://doi.org/10.1007/s11630-003-0039-3

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