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Large-Eddy Simulation of Turbulent Flow Around a Finite-Height Wall-Mounted Square Cylinder Within a Thin Boundary Layer

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Abstract

In this paper, large-eddy simulation (LES) has been performed to investigate the turbulent wake behind a wall-mounted square cylinder. The flow features a relatively high cylinder aspect ratio of 4, a Reynolds number of 12,000 (based on the free-stream velocity and cylinder side length), and a thin developing boundary layer with a thickness of only 18 % of the obstacle height. These characteristics of the flow impose challenges to LES for accurate simulation of large energetic eddies induced by the cylinder and their intense interactions with the thin developing boundary layer. The coherent flow structures around the cylinder have been studied based on the instantaneous and time-averaged resolved velocity and pressure fields. The local kinetic energy transfer between the resolved and subgrid scales and the streamwise evolution of the subgrid-scale viscosity have been investigated to provide physical insights into the subgrid-scale dynamics. The LES predictions of the flow statistics have been validated against a set of recently reported wind-tunnel experimental data.

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References

  1. Sumner, D.: Flow above the free end of a surface-mounted finite-height circular cylinder: A review. J. Fluids Struct. 43, 41–63 (2013)

    Article  Google Scholar 

  2. Castro, I.P., Robins, A.G.: The flow around a surface-mounted cube in uniform and turbulent streams. J. Fluid Mech. 79, 307–335 (1977)

    Article  Google Scholar 

  3. Hunt, J.C.R., Abell, C.J., Peterka, J.A., Woo, H.: Kinematical studies of the flows around free or surface-mounted obstacles; applying topology to flow visualization. J. Fluid Mech. 86, 179–200 (1978)

    Article  Google Scholar 

  4. Okajima, A.: Strouhal numbers of rectangular cylinders. J. Fluid Mech. 123, 379–398 (1982)

    Article  Google Scholar 

  5. Rostamy, N., Sumner, D., Bergstrom, D.J., Bugg, J.D.: Local flow field of a surface-mounted finite circular cylinder. J. Fluids Struct. 34, 105–122 (2012)

    Article  Google Scholar 

  6. Sumner, D., Heseltine, J.L., Dansereau, O.J.P.: Wake structure of a finite circular cylinder of small aspect ratio. Exper. Fluids 37, 720–730 (2004)

    Article  Google Scholar 

  7. McClean, J.F., Sumner, D.: An experimental investigation of aspect ratio and incidence angle effects for the flow around surface-mounted finite-height square prisms. ASME J. Fuids. Engng. 136, 081206, 1–10 (2014)

    Google Scholar 

  8. Bourgeois, J.A., Sattari, P., Martinuzzi, R.J.: Alternating half-loop shedding in the turbulent wake of a finite surface-mounted square cylinder with a thin boundary layer. Phys. Fluids 23, 095101, 1–15 (2011)

    Article  Google Scholar 

  9. Bourgeois, J.A., Noack, B.R., Martinuzzi, R.J.: Generalized phase average with applications to sensor-based flow estimation of the wall-mounted square cylinder wake. J. Fluid Mech. 736, 316–350 (2013)

    Article  MATH  Google Scholar 

  10. El Hassan, M., Bourgeois, J.A., Martinuzzi, R.J.: Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder. Exper. Fluids 56, 33, 1–19 (2015)

    Article  Google Scholar 

  11. Rodi, W.: On the simulation of turbulent flow past bluff bodies. J. Wind Eng. Ind. Aero. 46, 3–19 (1993)

    Article  Google Scholar 

  12. Williamson, C.H.K.: Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–539 (1996)

    Article  MathSciNet  Google Scholar 

  13. Majumdar, S., Rodi, W.: Three-dimensional computation of flow past cylindrical structures and model cooling towers. Bldg Envir. 24, 3–22 (1989)

    Article  Google Scholar 

  14. Johansen, S.T., Wu, J., Shyy, W.: Filter-based unsteady RANS computations. Int. J. Heat Fluid Flow 25, 10–21 (2004)

    Article  Google Scholar 

  15. Rodi, W.: Comparison of LES and RANS calculations of the flow around bluff bodies. J. Wind Eng. Ind. Aero. 69, 55–75 (1997)

    Article  Google Scholar 

  16. Shah, K.B., Ferziger, J.H.: A fluid mechanicians view of wind engineering: Large eddy simulation of flow past a cubic obstacle. J. Wind Eng. Ind. Aero. 67, 211–224 (1997)

    Article  Google Scholar 

  17. Fröhlich, J., Rodi, W., Kessler, Ph., Parpais, S., Bertoglio, J.P., Laurence, D.: Large eddy simulation of flow around circular cylinders on structured and unstructured grids. Note. Numer. Fluid Mech. 66, 319–338 (1998)

    Article  Google Scholar 

  18. Fröhlich, J., Rodi, W.: LES of the flow around a circular cylinder of finite height. Int. J. Heat Fluid Flow 25, 537–548 (2004)

    Article  Google Scholar 

  19. Breuer, M.: Large eddy simulation of the subcritical flow past a circular cylinder: Numerical and modeling aspects. Int. J. Numer. Meth. Fluids 28, 1281–1302 (1998)

    Article  MATH  Google Scholar 

  20. Breuer, M.: A challenging test case for large eddy simulation: High Reynolds number circular cylinder flow. Int. J. Heat Fluid Flow 21, 648–654 (2000)

    Article  Google Scholar 

  21. Sohankar, A., Davidson, L., Norberg, C.: Large eddy simulation of flow past a square cylinder: Comparison of different subgrid scale models. ASME J. Fuids. Engng. 122, 39–47 (2000)

    Article  Google Scholar 

  22. Catalano, P., Wang, M., Iaccarino, G., Moin, P.: Numerical simulation of the flow around a circular cylinder at high Reynolds numbers. Int. J. Heat Fluid Flow 24, 463–469 (2003)

    Article  Google Scholar 

  23. Afgan, I., Moulinec, C., Prosser, R., Laurence, D.: Large eddy simulation of turbulent flow for wall mounted cantilever cylinders of aspect ratio 6 and 10. Int. J. Heat Fluid Flow 28, 561–574 (2007)

    Article  Google Scholar 

  24. Krajnović, S.: Flow around a tall finite cylinder explored by large eddy simulation. J. Fluid Mech. 676, 294–317 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  25. Park, C.-W., Lee, S.-J.: Free end effects on the near wake flow structure behind a fnite circular cylinder. J. Wind Eng. Ind. Aero. 88, 231–246 (2000)

    Article  Google Scholar 

  26. Palau-Salvador, G., Stoesser, T., Fröhlich, J., Kappler, M., Rodi, W.: Large eddy simulations and experiments of flow around finite-height cylinders. Flow, Turbul. Combust. 84, 239–275 (2010)

    Article  MATH  Google Scholar 

  27. Palau-Salvador, G., García-Villalba, M., Rodi, W.: Scalar transport from point sources in the flow around a finite-height cylinder. Env. Fluids Mech. 11, 611–625 (2011)

    Article  Google Scholar 

  28. García-Villalba, M., Palau-Salvador, G., Rodi, W.: An experimental investigation of aspect ratio and incidence angle effects for the flow around surface-mounted finite-height square prisms. Flow, Turbul. Combust. 93, 171–187 (2014)

    Article  Google Scholar 

  29. Saha, A.K., Biswas, G., Muralidhar, K.: Three-dimensional study of flow past a square cylinder at low Reynolds numbers. Int. J. Heat Fluid Flow 24, 54–66 (2003)

    Article  Google Scholar 

  30. Sohankar, A., Norberg, C., Davidson, L.: Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers. Phys. Fluids 11, 288–306 (1999)

    Article  MATH  Google Scholar 

  31. Dousset, V., Pothérat, A.: Formation mechanism of hairpin vortices in the wake of a truncated square cylinder in a duct. J. Fluid Mech. 653, 519–536 (2010)

    Article  MATH  Google Scholar 

  32. Saeedi, M., LePoudre, P., Wang, B.-C.: Direct numerical simulation of turbulent wake behind a wall-mounted cylinder. J. Fluids Struct. 59, 20–39 (2014)

    Article  Google Scholar 

  33. Shi, R.F., Cui, G.X., Wang, Z.S., Xu, C.X., Zhang, Z.S.: Large eddy simulation of wind field and plume dispersion in building array. Atmos. Env. 42, 1083–1097 (2008)

    Article  Google Scholar 

  34. Lilly, D.K.: A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4, 633–635 (1992)

    Article  Google Scholar 

  35. Ham, F.E., Lien, F.S., Strong, A.B.: A fully conservative second-order finite difference scheme for incompressible flow on nonuniform grids. J. Comp. Phys. 177, 117–133 (2002)

    Article  MATH  Google Scholar 

  36. Choi, H., Moin, P.: Effects of the computational time step on numerical solutions of turbulent flow. J. Comp. Phys. 113, 1–4 (1994)

    Article  MATH  Google Scholar 

  37. Perry, A.E., Chong, M.S.: A description of eddying motions and flow patterns using critical-point concepts. Annu. Rev. Fluid Mech. 19, 125–155 (1987)

    Article  Google Scholar 

  38. Veloudis, I., Yang, Z., McGuirk, J.J., Page, G.J., Spencer, A.: Novel implementation and assessment of a digital filter based approach for the generation of LES inlet conditions. Flow, Turbul. Combust. 79, 1–24 (2007)

    Article  MATH  Google Scholar 

  39. Ferrante, A., Elghobashi, S.E.: A robust method for generating inflow conditions for direct simulations of spatially-developing turbulent boundary layers. J. Comp. Phys. 198, 372–387 (2004)

    Article  MATH  Google Scholar 

  40. Schlüter, J.U., Pitsch, H., Moin, P.: Large eddy simulation inflow conditions for coupling with Reynolds-averaged flow solvers. AIAA J. 42, 478–484 (2004)

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank Western Canada Research Grid (WestGrid) for an access to supercomputing facilities. A research funding from Natural Sciences and Engineering Research Council (NSERC) of Canada to B.-C. Wang is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Amirkabir University of Technology, Tehran, 15916-34312, Iran

    Mohammad Saeedi

  2. Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB, R3T 5V6, Canada

    Mohammad Saeedi & Bing-Chen Wang

Authors
  1. Mohammad Saeedi
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  2. Bing-Chen Wang
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Correspondence to Bing-Chen Wang.

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Saeedi, M., Wang, BC. Large-Eddy Simulation of Turbulent Flow Around a Finite-Height Wall-Mounted Square Cylinder Within a Thin Boundary Layer. Flow Turbulence Combust 97, 513–538 (2016). https://doi.org/10.1007/s10494-015-9700-7

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  • DOI: https://doi.org/10.1007/s10494-015-9700-7

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