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Wall-modeling for large-eddy simulation of flows around an axisymmetric body using the diffuse-interface immersed boundary method

  • Beiji Shi
  • Xiaolei Yang
  • Guodong Jin
  • Guowei He
  • Shizhao WangEmail author
Open Access
Article
  • 61 Downloads

Abstract

A novel method is proposed to combine the wall-modeled large-eddy sim-ulation (LES) with the diffuse-interface direct-forcing immersed boundary (IB) method. The new developments in this method include: (i) the momentum equation is integrated along the wall-normal direction to link the tangential component of the effective body force for the IB method to the wall shear stress predicted by the wall model; (ii) a set of Lagrangian points near the wall are introduced to compute the normal component of the effective body force for the IB method by reconstructing the normal component of the velocity. This novel method will be a classical direct-forcing IB method if the grid is fine enough to resolve the flow near the wall. The method is used to simulate the flows around the DARPA SUBOFF model. The results obtained are well comparable to the measured experimental data and wall-resolved LES results.

Key words

wall model large-eddy simulation (LES) immersed boundary (IB) method diffuse-interface 

Chinese Library Classification

O357 

2010 Mathematics Subject Classification

76A60 76D05 76F65 

Notes

Acknowledgements

The author Xiaolei YANG would like to acknowledge the hospitality received at LNM during his visit where he accomplished this work. The computations are conducted on Tianhe-1 at the National Supercomputer Center in Tianjin.

References

  1. [1]
    LARSSON, J., KAWAI, J., BODART, J., and BERMEJO-MORENO, I. Large eddy simulation with modeled wall-stress: recent progress and future directions. Mechanical Engineering Reviews, 3, 1500418 (2016)CrossRefGoogle Scholar
  2. [2]
    CHAPMAN, D. R. Computational aerodynamics development and outlook. AIAA Journal, 17, 1293–1313 (1979)CrossRefzbMATHGoogle Scholar
  3. [3]
    PIOMELLI, U. and BALARAS, E. Wall-layer models for large-eddy simulations. Annual Review of Fluid Mechanics, 34, 349–374 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    BOSE, A. T. and PARK, G. I. Wall-modeled large-eddy simulation for complex turbulent flows. Annual Review of Fluid Mechanics, 50, 535–561 (2018)MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    MITTAL, R. and IACCARINO, G. Immersed boundary methods. Annual Review of Fluid Mechanics, 37, 239–261 (2005)MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    SOTIROPOULOS, F. and YANG, X. L. Immersed boundary methods for simulating fluid-structure interaction. Progress in Aerospace Sciences, 65, 1–21 (2014)CrossRefGoogle Scholar
  7. [7]
    TESSICINI, F., IACCARINO, G., FATICA, M., WANG, M., and VERZICCO, R. Wall modeling for large-eddy simulation using an immersed boundary method. Annual Research Brief, Stanford University, Palo Alto, 181–187 (2002)Google Scholar
  8. [8]
    CRISTALLO, A. and VERZICCO, R. Combined immersed boundary/large-eddy-simulations of in-compressible three dimensional complex flows. Flow, Turbulence and Combustion, 77, 3–26 (2006)CrossRefzbMATHGoogle Scholar
  9. [9]
    CHOI, J., OBEROI, R. C., EDWARDS, J. R., and ROSATI, J. A. An immersed boundary method for complex incompressible flows. Journal of Computational Physics, 224, 757–784 (2007)MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    ROMAN, F., ARMENIO, V., and FRHLICH, J. A simple wall-layer model for large eddy simula-tion with immersed boundary method. Physics of Fluids, 21, 101701 (2009)CrossRefzbMATHGoogle Scholar
  11. [11]
    YANG, X., HE, G., and ZHANG, X. Towards large-eddy simulation of turbulent flows with com-plex geometric boundaries using immersed boundary method. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida (2010)Google Scholar
  12. [12]
    YANG, X. I. A., SADIQUE, J., MITTAL, R., and MENEVEAU, C. Integral wall model for large eddy simulations of wall-bounded turbulent flows. Physics of Fluids, 27, 025112 (2015)CrossRefGoogle Scholar
  13. [13]
    YANG, X. L., SOTIROPOULOS, F., CONZEMINUS, R. J., WACHTLER, J. N., and STRONG, M. B. Large-eddy simulation of turbulent flow past wind turbines/frams: the virtual wind simu-lator (VWS). Wind Energy, 18, 2025–2045 (2015)CrossRefGoogle Scholar
  14. [14]
    YANG, X. L. and SOTIROPOULOS, F. A new class of actuator surface models for wind turbines. Wind Energy, 21, 285–302 (2018)CrossRefGoogle Scholar
  15. [15]
    FOTI, D., YANG, X. L., and SOTIROPOULOS, F. Similarity of wake meandering for different wind turbine designs for different scales. Journal of Fluid Mechanics, 842, 5–25 (2018)MathSciNetCrossRefGoogle Scholar
  16. [16]
    NICOUD, F. and DUCROS, F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow, Turbulence and Combustion, 62, 183–200 (1999)CrossRefzbMATHGoogle Scholar
  17. [17]
    VANELLA, M., WANG, S., and BALARAS, E. Direct and large-eddy simulations of biological flows. Direct and Large-Eddy Simulation X, Springer, Berlin, 43–51 (2017)Google Scholar
  18. [18]
    BALARAS, E. Modeling complex boundaries using an external force field on fixed cartesian grids in large-eddy simulations. Computer and Fluids, 33, 375–404 (2004)CrossRefzbMATHGoogle Scholar
  19. [19]
    VANELLA, M. and BALARAS, E. A moving-least-squares reconstruction for embedded-boundary formulations. Journal of Computational Physics, 228, 6617–6628 (2009)CrossRefzbMATHGoogle Scholar
  20. [20]
    CABOT, W. and MOIN, P. Approximate wall boundary conditions in the large-eddy simulation of high Reynolds number flow. Flow, Turbulence and Combustion, 63, 269–291 (2000)CrossRefzbMATHGoogle Scholar
  21. [21]
    WANG, M. and MOIN, P. Dynamic wall modeling for large-eddy simulation of complex turbulent flows. Physics of Fluids, 14, 2043–2051 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  22. [22]
    DUPRAT, C., BALARAC, G., METAIS, O., CONGEDO, P. M., and BRUGIERE, O. A wall-layer model for large eddy simulations of turbulent flow with/out pressure gradient. Physics of Fluids, 23, 015101 (2011)CrossRefGoogle Scholar
  23. [23]
    VAN DRIEST, E. R. On turbulent flow near a wall. Journal of the Aeronautical Sciences, 23, 1007–1011 (1956)CrossRefzbMATHGoogle Scholar
  24. [24]
    WERNER, H. and WENGLE, H. Large-eddy simulation of turbulent flow over and around a cube in a plate channel. Turbulent Shear Flow 8, Springer-Verlag, Berlin, 155–168 (1991)Google Scholar
  25. [25]
    POSA, A. and BALARAS, E. A numerical investigation of the wake of an axisymmetric body with appendages. Journal of Fluid Mechanics, 792, 470–498 (2010)MathSciNetCrossRefzbMATHGoogle Scholar
  26. [26]
    HUANG, T., LIU, H. L., GROVES, N., FORLINI, T., BLANTON, J., and GOWING, S. Measure-ments of flows over an axisymmetric body with various appendages in a wind tunnel: the DARPA SUBOFF experimental program. Proceedings of the 19th Symposium on Naval Hydrodynamics, National Academy Press, Korea (1994)Google Scholar
  27. [27]
    JIMENEZ, J. M., REYNOLDS, R. T., and SMITS, A. J. The intermediate wake of a body of revolution at high Reynolds numbers. Journal of Fluid Mechanics, 659, 516–539 (2010)CrossRefzbMATHGoogle Scholar
  28. [28]
    JIMENEZ, J. M., REYNOLDS, R. T., and SMITS, A. J. The effects of fins on the intermediate wake of a submarine model. Journal of Fluids Engineering, 132, 031102 (2010)CrossRefGoogle Scholar
  29. [29]
    GROVES, N. C., HUANG, T. T., and CHANG, M. S. Geometric Characteristics of the DARPA SUBOFF Models, Technical Report (No.DTRC/SHD-1298-01), David Taylor Research Center, Bethesda (1989)Google Scholar

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Authors and Affiliations

  • Beiji Shi
    • 1
    • 2
  • Xiaolei Yang
    • 1
    • 3
  • Guodong Jin
    • 1
    • 2
  • Guowei He
    • 1
    • 2
  • Shizhao Wang
    • 1
    • 2
    Email author
  1. 1.The State Key Laboratory of Nonlinear Mechanics (LNM), Institute of MechanicsChinese Academy of SciencesBeijingChina
  2. 2.School of Engineering SciencesUniversity of Chinese Academy of SciencesBeijingChina
  3. 3.Department of Civil Engineering, College of Engineering and Applied SciencesStony Brook UniversityStony BrookUSA

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