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Novel Implementation and Assessment of a Digital Filter Based Approach for the Generation of LES Inlet Conditions

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Abstract

A novel implementation of a digital filter based inlet condition generator for Large Eddy Simulation (LES) is presented. The effect of using spatially varying turbulence scales as inputs is investigated; it is found that this has impact on both accuracy and affordability, and has prompted the algorithm implementation changes described in the paper. LES of a channel flow with a periodically repeating constriction was used as a test case. The accuracy of the present simulation using a streamwise periodic boundary condition (PBC) was first established by comparison with a previously published highly resolved LES study. Post-processed statistics from the PBC simulation were then input into a Digital Filter Generator (DFG) algorithm. Three time series were created using the DFG for subsequent use as LES inlet conditions. In the first, as well as inputting the spatially varying first and second moments of the velocity field over the inlet plane from the PBC simulation, the turbulence scales input into the DFG were chosen to be spatially uniform with values specified by an area weighted average across the channel inlet height. In the second and third time-series, the turbulence scales were allowed to change in the wall normal direction, their variation again being deduced from the PBC simulation. These various time series were then used as inlet boundary conditions for LES prediction of the same flow case. Analysis of the results and comparison to the PBC predictions showed that the use of spatially varying turbulence scales increased the accuracy of the simulation in some important areas. However, the cost of generating unsteady inlet conditions using the DFG approach increased significantly with the use of spatially varying turbulence scales. Consequently, a new technique applied as part of the DFG approach is described (used as an ‘on the fly’ method), which significantly reduces the cost of generating LES inlet conditions, even when spatially non-uniform turbulent scales are used.

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References

  1. Klein, M., Sadiki, A., Janicka, J.: Influence of boundary conditions on the direct numerical simulation of a plane turbulent jet. In: Proc. of TSFP2 1, pp. 401–406 (2001)

  2. Klein, M., Sadiki, A., Janicka, J.: Influence of the inflow conditions on the direct numerical simulation of primary breakup of liquid jets. In: Proc. of ILASS-17-Europe 1, pp. 475–480 (2001)

  3. Stanley, S., Sarkar, S.: Influence of nozzle conditions and discrete forcing on turbulent planar jets. AIAA J. 38, 1615–1623 (2000)

    ADS  Google Scholar 

  4. Lund, T.S., Wu, X., Squires, K.D.: Generation of turbulent inflow data for spatially developing boundary layer simulations. J. Comp. Physiol. 140, 233–258 (1998)

    MATH  MathSciNet  ADS  Google Scholar 

  5. Le, H., Moin, P., Kim, J.: Direct numerical simulation of turbulent flow over a backward-facing step. J. Fluid Mech. 330, 349–374 (1997)

    Article  MATH  ADS  Google Scholar 

  6. Maruyama, T.: On the influence of turbulence characteristics at an inlet boundary for large Eddy simulation of a turbulent boundary layer. In: Proc. of ETMM4, Corsica, France (1999)

  7. Spalart, P.: Direct numerical simulation of a turbulent boundary layer up to Re τ =1410. J. Fluid Mech. 187, 61–98 (1988)

    Article  MATH  ADS  Google Scholar 

  8. Akselvoll, K., Moin, P.: Large Eddy simulation of turbulent confined co-annular jets. J. Fluid Mech. 315, 387–411 (1996)

    Article  ADS  Google Scholar 

  9. Batten, P., Goldberg, U., Chakravarthy, S.: Interfacing statistical turbulence closures with large Eddy simulation. AIAA J. 42, 485–492 (2004)

    Article  ADS  Google Scholar 

  10. Keating, A., Piomelli, U.: Synthetic generation of inflow velocities for large Eddy simulation. In: 34th AIAA Fluid Dynamics Conference, AIAA, pp. 2004–2547 (2004)

  11. Keating, A., Piomelli, U., Balaras, E., Kaltenbach, H.-J.: A priori and a posteriori tests of inflow conditions for large-eddy simulation. Phys. Fluids 16(12), 4696–4712 (2004)

    Article  ADS  Google Scholar 

  12. Klein, M., Sadiki, A., Janicka, J.: A digital filter based generation of inflow data for spatially developing direct numerical or large Eddy simulations. J. Comp. Physiol. 186, 652–665 (2003)

    MATH  ADS  Google Scholar 

  13. Veloudis, I., Yang, Z., McGuirk, J.J., Page, G.J.: Assessment of digital filter approach for generating large eddy simulation inlet conditions. In: Rodi, W., Mulas, M. (eds.) Proceedings of ETMM 6, Sardinia, Italy, pp. 307–316. Elsevier, Amsterdam, The Netherlands (2005)

    Google Scholar 

  14. Spalart, P.R., Watmuff, J.H.: Experimental and numerical study of a turbulent boundary layer with pressure gradients. J. Fluid Mech. 249, 337–371 (1993)

    Article  ADS  Google Scholar 

  15. di Mare, L., Klein, M., Jones, W.P., Janicka, J.: Synthetic turbulence inflow conditions for large Eddy simulation. Article 025107. Phys. Fluids 18(2), 1–11 (2006)

    Article  Google Scholar 

  16. Page, G.J., Zhao, H., McGuirk, J.J.: A parallel multi-block Reynolds-Averaged Navier-Stokes method for propulsion installation applications. In: Proc. 12th Int. Symp. on Air Breathing Engines 1, Melbourne, Australia, pp. 864–876 (2001)

  17. Smagorinsky, J.: General circulation experiments with the primitive equations, I: the basic experiment. Mon. Weather Rev. 91, 99–164 (1963)

    Article  ADS  Google Scholar 

  18. van Driest, E.R.: On turbulent flow near a wall. J. Aerosol Sci. 23, 1007–1011 (1956)

    Google Scholar 

  19. Batchelor, G.: The Theory of Homogeneous Turbulence (1st edn.), Chapter 5, p. 94. Cambridge University Press, Cambridge, UK (1953)

    MATH  Google Scholar 

  20. Zhou, Q., Leschziner, M.A.: A time-correlated stochastic model for particle dispersion in anisotropic turbulence. In: 8th Symposium on Turbulent Shear Flows, 10-3-1 to 10-3-6 (1991)

  21. Temmerman, L., Leschziner, M.A., Mellen, C., Froehlich, J.: Investigation of wall-function approximations and sub grid scale models in large Eddy simulation of separated flow in a channel with stream-wise periodic constrictions. Int. J. Heat Fluid Flow 24, 157–180 (2002)

    Article  Google Scholar 

  22. Werner, H., Wengle, H.: Large-eddy simulation of turbulent flow over and around a cube in a plate channel. In: 8th Symposium on Turbulent Shear Flows, pp. 155–168 (1991)

  23. Pope, S.B.: Turbulent Flows (1st edn.), Chapter 3, p. 68–69. Cambridge University Press, Cambridge, UK (2000)

    MATH  Google Scholar 

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Veloudis, I., Yang, Z., McGuirk, J.J. et al. Novel Implementation and Assessment of a Digital Filter Based Approach for the Generation of LES Inlet Conditions. Flow Turbulence Combust 79, 1–24 (2007). https://doi.org/10.1007/s10494-006-9058-y

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