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Numerical simulation study of the Reynolds number effect on two bridge decks based on the deterministic vortex method

  • Zhou, Zhiyong (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Ma, Rujin (Department of Bridge Engineering, Tongji University)
  • Received : 2008.08.22
  • Accepted : 2010.02.22
  • Published : 2010.07.25

Abstract

Researches on the Reynolds number effect on bridge decks have made slow progress due to the complicated nature of the subject. Heretofore, few studies on this topic have been made. In this paper, aerostatic coefficients, Strouhal number ($S_t$), pressure distribution and Reynolds number ($R_e$) of Great Belt East Bridge and Sutong Bridge were investigated based on deterministic vortex method (DVM). In this method, Particle Strength Exchange (PSE) was chosen to implement the simulation of the flow around bluff body and to analyze the micro-mechanism of the aerostatic loading and Reynolds number effect. Compared with the results obtained from wind tunnel tests, reliability of numerical simulation can be proved. Numerical results also showed that the Reynolds number effect on aerostatic coefficients and Strouhal number of the two bridges can not be neglected. In the range of the Reynolds number from $10^5$ to $10^6$, it has great effect on the Strouhal number of Sutong Bridge, while the St is difficult to obtain from wind tunnel tests in this range.

Keywords

References

  1. Barre, C. and Barnaud, G. (1995), "High Reynolds number simulation techniques and their application to shaped structures model test", J. Wind Eng. Ind. Aerod., 57(2-3), 145-157. https://doi.org/10.1016/0167-6105(94)00111-P
  2. Carrier, J., Greengard, L. and Rokhlin, V. (1988), "A fast adaptive multipole algorithm for particle simulations", SIAM J. Sci. Comput., 9(4), 669-686. https://doi.org/10.1137/0909044
  3. Chen, A.R. (2004), Experimental Study on vortex excited vibration and aerodynamic force coefficients of the girder of Sutong Bridge under high Reynolds number (Report in Chinese), Shanghai, SKLDRC, Tongji University.
  4. Chen, A.R., Zhou, Z.Y. and Xiang, H.F. (2006), "On the mechanism of vertical stabilizer plates for improving aerodynamic stability of bridges", Wind Struct., 9(1), 59-74. https://doi.org/10.12989/was.2006.9.1.059
  5. Choquin, J.P. and Huberson, S. (1989), "Particles simulation of viscous flow", Comput. Fluids, 17(2), 397-410. https://doi.org/10.1016/0045-7930(89)90049-2
  6. Choquin, J.P. and Lucquin-Desreux, B. (1988), "Accuracy of a deterministic particle method for Navier-Stokes equations", Int. J. Numer. Meth. Fl., 8(11), 1439-1458. https://doi.org/10.1002/fld.1650081105
  7. Chorin, A.J. (1973), "Numerical study of slightly viscous flow", J. Fluid Mech., 57(4), 785-796. https://doi.org/10.1017/S0022112073002016
  8. Cottet, G.H. (1990), "A particle-grid superposition method for the Navier-Stokes equations", J. Comput. Phys., 89(2), 301-318. https://doi.org/10.1016/0021-9991(90)90146-R
  9. Degond, P. and Mas-Gallic, S. (1989), "The weighted particle method for convection-diffusion equations. Part 1: The case of an isotropic viscosity", Math. Comput., 53(188), 485-507.
  10. Eldredge, J.D., Leonard, A. and Colonius T. (2002), "A general deterministic treatment of derivatives in particle methods", J. Comput. Phys., 180(2), 686-709. https://doi.org/10.1006/jcph.2002.7112
  11. Fishelov, D. (1990), "A new vortex scheme for viscous flows", J. Comput. Phys., 86(1), 211-224. https://doi.org/10.1016/0021-9991(90)90098-L
  12. Koumoutsakos, P., Leonard, A. and Pépin, F. (1994), "Boundary conditions for viscous vortex methods", J. Comput. Phys., 113(1), 52-61. https://doi.org/10.1006/jcph.1994.1117
  13. Leonard, A. (1980), "Vortex methods for flow simulation", J. Comput. Phys., 37(3), 289-335. https://doi.org/10.1016/0021-9991(80)90040-6
  14. Ploumhans, P. and Winckelmans, G.S. (2000), "Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry", J. Comput. Phys., 165(2), 354-406. https://doi.org/10.1006/jcph.2000.6614
  15. Sarpkaya, T. (1989), "Computational methods with vortices - the 1988 freeman scholar lecture", J. Fluid. Eng.-T. ASME, 111, 5-52. https://doi.org/10.1115/1.3243601
  16. Scanlan, R. (1975), "Theory of the wind analysis of long-span bridges based on data obtainable from section model tests", Proceedings of the 4th international Conference on wind effects on Buildings and Structures, London.
  17. Schewe, G. (2001), "Reynolds number effects in flow around more-or-less bluff bodies", J. Wind Eng. Ind. Aerod., 89(14-15), 1267-1289. https://doi.org/10.1016/S0167-6105(01)00158-1
  18. Schewe, G. (1983), "On the force fluctuations acting on a circular cylinder in cross flow from subcritical up to transcritical Reynolds numbers", J. fluid Mech., 133, 265-285. https://doi.org/10.1017/S0022112083001913
  19. Schewe, G. and Larsen, A. (1998), "Reynolds number effects in the flow around a bluff bridge cross section", J. Wind Eng. Ind. Aerod., 74-76(1), 829-838. https://doi.org/10.1016/S0167-6105(98)00075-0
  20. Selvam, R.P. (2000), Computational procedures in grid based computational bridge aerodynamics (Eds. Larsen, A., Esdahl, S.), Bridge Aerodynamics, A.A. Balkema, Rotterdam.
  21. Shankar, S. and Van Dommelen, L. (1996), "A new diffusion procedure for vortex methods", J. Comput. Phys., 127(1), 88-109. https://doi.org/10.1006/jcph.1996.0160
  22. Taylor, I. and Vezza, M. (1999), "Calculation of the flow field around a square section cylinder undergoing forced transverse oscillations using a discrete vortex method", J. Wind Eng. Ind. Aerod., 82(1-3), 271-291. https://doi.org/10.1016/S0167-6105(99)00041-0
  23. Walther, J.H. and Larsen, A. (1997), "Two dimensional discrete vortex method for application to bluff body aerodynamics", J. Wind Eng. Ind. Aerod., 67-68, 183-193. https://doi.org/10.1016/S0167-6105(97)00072-X
  24. Winckelmans, G.S. and Leonard, A. (1993), "Contributions to vortex particle methods for the computation of three dimensional incompressible unsteady flows", J. Comput. Phys., 109(2), 247-273. https://doi.org/10.1006/jcph.1993.1216
  25. Zhou, Z.Y., Chen, A.R. and Xiang, H.F. (2003), "Identification of aeroelastic parameter of flexible bridge decks by random discrete vortex method", Proceedings 11th International Conference on Wind Engineering, Lubbock, Texas, USA, June.
  26. Zhou, Z.Y. and Chen, A.R. (2006a), "On the mechanism of torsional flutter instability for 1st Tacoma Narrow Bridge by discrete vortex method", Proceedings of the fourth International Symposium on Computational Wind Engineering, Yokohama, Japan, July.
  27. Zhou, Z.Y. and Chen, A.R. (2006b), "Effect of additional attack angle on flutter stability", Proceedings of the 12th International Conference on Wind Engineering, Cairns, Australia, July.

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