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An Adaptive Control Strategy for Proper Mesh Distribution in Large Eddy Simulation

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Abstract

The Filtering Grid Scale (FGS) of sub-grid scale models does not match with the theoretical Proper FGS (PFGS) because of the improper mesh. Therefore, proper Large Eddy Simulation (LES) Mesh is very decisive for better results and more economical cost. In this work, the purpose is to provide an adaptive control strategy for proper LES mesh with turbulence theory and CFD methods. A new expression of PFGS is proposed on the basis of −5/3 law of inertial sub-range and the proper mesh of LES can be built directly from the adjustment of RANS mesh. A benchmark of the backward facing step flow at Re = 5147 is provided for application and verification. There are three kinds of mesh sizes, including the RANS mesh, LAM (LES of adaptive-control mesh), LFM (LES of fine mesh), employed here. The grid number of LAM is smaller than those of LFM evidently, and the results of LAM are in a good agreement with those of DNS and experiments. It is revealed that the results of LAM are very close to those of LFM. The conclusions provide positive evidences for the novel strategy.

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References

  1. BERSELLI L., ILIESCU T. and LAYTON W. Mathematics of large eddy simulation of turbulent flows[M]. Berlin, Germany: Springer, 2009.

    MATH  Google Scholar 

  2. SAGAUT P. Large eddy simulation for incompressible flows[M]. Berlin, Germany: Springer, 2002.

    Book  Google Scholar 

  3. MOENG C. H., WYNGAARD J. C. Spectral analysis of large-eddy simulations of the convective boundary layer[J]. J. Atmos. Sci., 1988, 45(23): 3575–3587.

    Article  Google Scholar 

  4. METAI O., FERZIGER J. H. New tools in turbulence modeling[M]. Berlin, Germany: Springer, 1997.

    Book  Google Scholar 

  5. CELIK I. B., CEHRELI Z. N. and YAVUZ I. Index of resolution quality for large eddy simulations[J]. Journal of Fluids Engineering, 2005, 127(5): 949–958.

    Article  Google Scholar 

  6. KLEIN M. An attempt to assess the quality of large eddy simulations in the context of implicit filtering[J]. Flow, Turbulence and Combustion, 2005, 75(1-4): 131–147.

    Article  Google Scholar 

  7. JORDAN S. A. A priori assessments of numerical uncertainty in large-eddy simulations[J]. Journal of Fluids Engineering, 2005, 127(6): 1171–1182.

    Article  Google Scholar 

  8. DEGRAZIA G. A., PIZZA U. and PUHALES F. S. et al. A variable mesh spacing for large-eddy simulation models in the convective boundary layer[J]. Boundary-Layer Meteorol., 2009, 131(2): 277–292.

    Article  Google Scholar 

  9. LEONARD S., TERRACOL M. and SAGAUT P. A wavelet-based adaptive mesh refinement criterion for large-eddy simulation[J]. Journal of Turbulence, 2006, 64(7): 1–25.

    MathSciNet  MATH  Google Scholar 

  10. NAUDIN A., VERVISCH L. and DOMINGO P. Turbulent-energy based mesh refinement procedure for large eddy simulation[C]. Advances in Turbulence XI: Proceedings of the 11th EUROMECH European Turbulence Conference. Porto, Portugal, 2007, 413–415.

    Google Scholar 

  11. ZOU Lin, LIN Yu-feng and LAM Kit. Large-eddy simulation of flow around cylinder arrays at a subcritical Reynolds number[J]. Journal of Hydrodynamics, 2008, 20(4): 403–413.

    Article  Google Scholar 

  12. WANG Kun, JIN Sheng and LIU Gang. Numerical modeling of free-surface flows with bottom and surface-layer pressure treatment[J]. Journal of Hydrodynamics, 2009, 21(3): 352–359.

    Article  Google Scholar 

  13. POPE S. B. Ten questions concerning the large-eddy simulation of turbulent flows[J]. New J. Phys., 2004, 6: 1–24.

    Article  MathSciNet  Google Scholar 

  14. KANG H. S., CHESTER S. and MENEVEAU C. Decaying turbulence in an active-grid generated flow and comparisons with large-eddy simulation[J]. Journal of Fluid Mechanics, 2003, 480: 129–160.

    Article  MathSciNet  Google Scholar 

  15. HUNG Le, MOIN P. Direct numerical simulation of turbulent flow over a backward-facing step[J]. Journal of Fluid Mechanics, 1997, 330: 349–374.

    Article  Google Scholar 

  16. JOVIC S., DRIVER D. M. Backward-facing step measurement at low Reynolds number[R]. NASA Tech. Mem., 1994, 108807.

    Google Scholar 

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Authors and Affiliations

  1. Key Laboratory for Power Machinery and Engineering of Ministry of Education, Shanghai Jiao Tong University, Shanghai, 200240, China

    Bin Zhang, Tong Wang, Chuan-gang Gu & Zheng-yuan Dai

  2. Trane’s Asia-Pacific Research Center, Shanghai, 200001, China

    Zheng-yuan Dai

Authors
  1. Bin Zhang
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  2. Tong Wang
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  3. Chuan-gang Gu
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  4. Zheng-yuan Dai
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Corresponding author

Correspondence to Tong Wang.

Additional information

Project supported by the National Natural Science Foundation of china (Grant No. 50776056) the National High Technology Research and Development of China (863 Program, Grant No. 2009AA05Z201).

Biography: ZHANG Bin (1983- ), Male, Ph. D. Candidate

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Zhang, B., Wang, T., Gu, Cg. et al. An Adaptive Control Strategy for Proper Mesh Distribution in Large Eddy Simulation. J Hydrodyn 22, 865–870 (2010). https://doi.org/10.1016/S1001-6058(09)60127-X

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  • DOI: https://doi.org/10.1016/S1001-6058(09)60127-X

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