Anisotropic Grid Refinement Study for LES

  • Péter Tóth
  • Máté Márton Lohász
Part of the Ercoftac Series book series (ERCO, volume 12)

Abstract

In this paper an anisotropic grid refinement study is proposed for use in Large-Eddy Simulation. The aim of the method is to compare the effect of different grid refinements. These refinements can be selected systematically in order to fit the grid to the anisotropy of the turbulence. Furthermore it is proposed that the results be compared using multiple objectives, i.e. to separate the effects on the different components of the Reynolds stress tensor. It was attempted to apply the Index of Resolution Quality for quantifying the various refinements. The method was applied to a spatially developing axisymmetric shear layer (round jet). Reynolds stresses, momentum thickness and vortices were plotted for this purpose. The results indicate that grid refinement in different directions has an effect differing both in manner and magnitude. This differing manner is highlighted in the various behaviours of the Reynolds stress components. The index of resolution quality was found to be misleading, since it can underestimate the relative importance of the grid refinement effects.

Keywords

Directional grid refinement Vortex Large-eddy simulation 

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References

  1. 1.
    Bogey C, Bailly C, Juve D (2003) Noise investigation of a high subsonic, moderate Reynolds number jet using a compressible Large Eddy Simulation. Theoretical and Computational Fluid Dynamics 16(4):273–297MATHCrossRefADSGoogle Scholar
  2. 2.
    Celik I, Cehreli ZN, Yavuz I (2005) Index of resolution quality for Large-Eddy Simulations. Journal of Fluids Engineering 127:949–958CrossRefGoogle Scholar
  3. 3.
    Crow SC, Champagne FH (1971) Orderly structures in jet turbulence. Journal of Fluid Mechanics 48:547–591CrossRefADSGoogle Scholar
  4. 4.
    Fluent, Inc. (2006) Fluent 6.3 User’s GuideGoogle Scholar
  5. 5.
    Geurts BJ, Frohlich J (2002) A framework for predicting accuracy limitations in large-eddy simulation. Physics of Fluids 14(6):L41–L44CrossRefADSGoogle Scholar
  6. 6.
    Hunt JCR, Wray AA, Moin P (1988) Eddies, streams, and convergence zones in turbulent flows. In: Proceedings of the Summer Program, Center for Turbulence Research, StanfordGoogle Scholar
  7. 7.
    Kim SE (2004) Large Eddy Simulation using unstructured meshes and dynamic subgrid-scale turbulence models. In: 34th AIAA Fluid Dynamics Conference and Exhibit, Portland, OregonGoogle Scholar
  8. 8.
    Klein M (2005) An attempt to assess the quality of Large Eddy Simulations in the context of implicit filtering. Flow Turbulence and Combustion 75:131–147MATHCrossRefGoogle Scholar
  9. 9.
    Mathey F, Cokljat D, Bertoglio JP, Sergent E (2006) Assessment of the vortex method for Large-Eddy Simulation inlet conditions. Progress In Computational Fluid Dynamics 6(1–3):58–67CrossRefMathSciNetMATHGoogle Scholar
  10. 10.
    Pope SB (2004) Ten questions concerning the large-eddy simulation of turbulent flows. New Journal of Physics 36(6):1–24, 2004Google Scholar
  11. 11.
    Vreman B, Geurts B, Kuerten H (1996) Comparison of numerical schemes in large-eddy simulation of the temporal mixing layer. International Journal for Numerical Methods in Fluids 22(4):297–311MATHCrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Péter Tóth
    • 1
  • Máté Márton Lohász
    • 1
  1. 1.Department of Fluid MechanicsBudapest University of Technology and EconomicsBudapest 1111Hungary

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