DOI QR코드

DOI QR Code

Large eddy simulation of a square cylinder flow: Modelling of inflow turbulence

  • Tutar, M. (Mersin University, Department of Mechanical Engineering) ;
  • Celik, I. (West Virginia University, Department of Mechanical and Aerospace Engineering)
  • 투고 : 2007.04.04
  • 심사 : 2007.10.26
  • 발행 : 2007.12.25

초록

The present study aims to generate turbulent inflow data to more accurately represent the turbulent flow around a square cylinder when the inflow turbulence level is significant. The modified random flow generation (RFG) technique in conjunction with a previously developed LES code is successfully adopted into a finite element based fluid flow solver to generate the required inflow turbulence boundary conditions for the three-dimensional (3-D) LES computations of transitional turbulent flow around a square cylinder at Reynolds number of 22,000. The near wall region is modelled without using wall approximate conditions and a wall damping coefficient is introduced into the calculation of sub-grid length scale in the boundary layer of the cylinder wall. The numerical results obtained from simulations are compared with each other and with the experimental data for different inflow turbulence boundary conditions in order to discuss the issues such as the synthetic inflow turbulence effects on the 3-D transitional flow behaviour in the near wake and the free shear layer, the basic mechanism by which stream turbulence interacts with the mean flow over the cylinder body and the prediction of integral flow parameters. The comparison among the LES results with and without inflow turbulence and the experimental data emphasizes that the turbulent inflow data generated by the present RFG technique for the LES computation can be a viable approach in accurately predicting the effects of inflow turbulence on the near wake turbulent flow characteristics around a bluff body.

키워드

참고문헌

  1. Akselvoll, K. and Moin, J. (1995), Large Eddy Simulation of Turbulent Confined Coannular Jets and Turbulent Flow Over a Backward-facing Step, Report TF-63, Thermosciences Div., Dept. Mech. Eng., Stanford University, Stanford, CA 94305.
  2. Bechara, W., Bailly, C. and Laton, P. (1994), "Stochastic approach to noise modelling for free turbulent flows", AIAA Journal, 32(3).
  3. Bosch, G. and Rodi, W. (1998), "Simulation of vortex shedding past a square cylinder with different turbulence models", Int. J. Numer. Methods Fluids, 28, 601-616. https://doi.org/10.1002/(SICI)1097-0363(19980930)28:4<601::AID-FLD732>3.0.CO;2-F
  4. Bouris, D. and Bergeles, G. (1999), "2D LES of vortex shedding from a square cylinder", J. Wind Eng. Ind. Aerody. 80, 31-46. https://doi.org/10.1016/S0167-6105(98)00200-1
  5. Celik, I. and Shaffer, F. D. (1995), "Long time-averaged solutions of turbulent flow past a circular cylinder", J. Wind Eng. Ind. Aerody., 56, 185-212. https://doi.org/10.1016/0167-6105(94)00091-Q
  6. Celik, I., Smirnov, A. and Smith, J. (1999), "Appropriate initial and boundary conditions for les of a ship wake", Proc. of 3rd ASME/JFE Joint Fluids Engineering Conference, Vol. FEDSM99-7851, San Francisco, California
  7. Fluent, FIDAP Users Manual, 1993.
  8. Franke, R. and Rodi, W. (1991), "Calculation of vortex shedding past a square cylinder with various turbulence models", 8th Symposium on Turbulent Shear Flows, Technical University of Munich.
  9. Gartshore, I. S. (1994), "Some effects of upstream turbulence on the unsteady lift forces imposed on prismatic two dimensional bodies", J. Fluids Eng.-Transactions of the ASME, 106, 418-424.
  10. Grigoriadis, D. G. E., Bartzis, J. G. and Goulas, A. (2003), "LES of the flow past a rectangular cylinder using the immersed boundary concept", Int. J. Num. Methods Fluids, 41, 615-632. https://doi.org/10.1002/fld.458
  11. Huot, J. P., Rey, C. and Arbet, H. (1986), "Experimental analysis of the pressure field induced on a square cylinder by a turbulent flow", J. Fluid Mech., 162, 283-298. https://doi.org/10.1017/S0022112086002057
  12. Kondo, K., Mochida, A. and Murakami, S. (1996), "LES computation of isotropic turbulence based on generated inflow turbulence", Proc. of 14th symposium on Wind Engineering, December, Japan, 227-232.
  13. Kondo, K., Murakami, S. and Mochida, A. (1997), "Generation of velocity fluctuations for inflow boundary conditions of LES," J. Wind Eng. Ind. Aerody., 67-68, 51-64. https://doi.org/10.1016/S0167-6105(97)00062-7
  14. Kraichnan, R. H. (1970), "Diffusion by a random velocity field", Phys. Fluids, 1391, 22-31.
  15. Lee, S. (1997), "Unsteady aerodynamic force prediction on a square cylinder using k−$\varepsilon$ turbulence models", J. Wind Eng. Ind. Aerody. 67-68, 79-90. https://doi.org/10.1016/S0167-6105(97)00064-0
  16. Lee, S., Lele, S. K. and Moin, P. (1992), "Simulation of spatially evolving turbulence and the applicability of Taylor's Hypothesis in compressible flow", Phys. Fluids, A (4), 1521-1530.
  17. Lund, T. S., Wu, X. and Squires, K. D. (1998), "Generation of turbulent inflow data for spatially developing boundary layer simulations", J. Comput. Physics, 140, 233-258. https://doi.org/10.1006/jcph.1998.5882
  18. Lyn, D. A. and Rodi, W. (1994), "The flapping shear layer formed by flow separation from the forward corner of a square cylinder", J. Fluid Mech. 267, 353-376. https://doi.org/10.1017/S0022112094001217
  19. Lyn, D. A., Einav, S., Rodi, W. and Park, J. H., "A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder", J. Fluid Mech., 304, 285-319.
  20. Maruyama, T. and Morikawa, H. (1994), "Numerical simulation of wind fluctuation conditioned by experimental data in turbulent boundary layer", Proc. of 13th Symposium on Wind Engineering, December, 573-578.
  21. Mochida, A., Murakami, M., Shoji, Y. and Ishida, Y. (1992), "Numerical simulation of flow field around Texas Tech building by large eddy simulation," Proc. 1st Int. Symposium on Computational Wind Engineering, Tokyo.
  22. Murakami, S., Iizuka S. and Ooka, R. (1999), "CFD analysis of turbulent flow past square cylinder using dynamic LES", J. Fluids Struct., 13, 1097-1112. https://doi.org/10.1006/jfls.1999.0246
  23. Rai, M. M. and Moin, P. (1993), "Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer", J. Comput. Physics, 109, 162-192.
  24. Rodi, W., Ferziger, J. H., Breuer, M. and Pourquie, M. (1997), "Status of large eddy simulation: results of workshop", J. Fluids Eng. Transactions of ASME, 119, 248-262. https://doi.org/10.1115/1.2819128
  25. Saha, A. K., Muralidhar, K. and Biswas, G. (2000), "Experimental study of flow past a square cylinder at high Reynolds numbers", Exp. Fluids, 29, 553-563. https://doi.org/10.1007/s003480000123
  26. Sakamoto, S., Murakami, S. and Kato, A. (1990), "Numerical study on air flow around 2d square prism (part 1) influence of inflow turbulence on surface wind pressure, Proc. AIJ Annual Meeting, 99-100.
  27. Sakamoto, S., Murakami, S. and Mochida, A. (1993), "Numerical study on flow past 2D square cylinder by large eddy simulation: Comparison between 2D and 3D computations", J. Wind Eng. Ind. Aerody. 50, 61-68. https://doi.org/10.1016/0167-6105(93)90061-R
  28. Smagorinsky, J. (1963), "General circulation experiments with the primitive equations", Monthly Weather Review, 91, 99-152. https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
  29. Smirnov, A., Shi, S. and Celik, I. (2000), "Random flow simulations with a bubble dynamic model", Proc. of FEDSM00 ASME 2000 Fluids Eng. Division Summer Meeting, June 11-15, Boston, Massachusetts.
  30. Smirnov, A., Shi, S., and Celik, I. (2002) "Random flow generation technique in large eddy simulations and particle-dynamics modelling" J. Fluids Eng. -Transactions of ASME, 123, 359.
  31. Spain, B. (1965), Tensor Calculus, Oliver and Boyd.
  32. Spalart, P. R. (1988), "Direct simulation of a turbulent boundary layer up to $Re_{\theta}$ = 1410", J. Fluid Mech., 187, 61. https://doi.org/10.1017/S0022112088000345
  33. Tutar, M. (1998), "Computational modelling of vortex shedding from offshore risers", Ph. D. Thesis, University of Hertfordshire, UK.
  34. Tutar, M. and Holdo, A. E. (2001), "Computational modelling of flow around a circular cylinder in sub-critical flow regime with various turbulence models", Int. J. Numer. Methods Fluids, 35, 763-784. https://doi.org/10.1002/1097-0363(20010415)35:7<763::AID-FLD112>3.0.CO;2-S
  35. van Driest, E. R. (1956), "On the turbulent flow near a wall", J. Aeronautical Sciences, 23, 1007-1011. https://doi.org/10.2514/8.3713
  36. Wakes, S. J., Holdo, A. E. and Tutar, M. (1999), "The role of the near wall function in large eddy simulation in large eddy simulations of bluff body flows", Proc. of 1999 ASME/JSME Fluids Engineering Division Summer Meeting, July 18-23, San Francisco.
  37. Werner, H. and Wengle, H. (1991), "Large eddy simulation of turbulent flow over and around a cube in a plate channel", Proc. of 8th Symposium on Turbulent Shear Flows, 155-168.
  38. Zhou, O. and Leschziner, M. (1991), "A time-correlated stochastic model for particle dispersion in anisotropic turbulence", Proc. in 8th Turbulent Shear Flows Symposium, Munich.

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