DOI QR코드

DOI QR Code

Application of a discrete vortex method for the analysis of suspension bridge deck sections

  • Taylor, I.J. (Department of Mechanical Engineering, University of Strathclyde) ;
  • Vezza, M. (Department of Aerospace Engineering, University of Glasgow)
  • Published : 2001.08.25

Abstract

A two dimensional discrete vortex method (DIVEX) has been developed to predict unsteady and incompressible flow fields around closed bodies. The basis of the method is the discretisation of the vorticity field, rather than the velocity field, into a series of vortex particles that are free to move in the flow field that the particles collectively induce. This paper gives a brief description of the numerical implementation of DIVEX and presents the results of calculations on a recent suspension bridge deck section. The predictions for the static section demonstrate that the method captures the character of the flow field at different angles of incidence. In addition, flutter derivatives are obtained from simulations of the flow field around the section undergoing vertical and torsional oscillatory motion. The subsequent predictions of the critical flutter velocity compare well with those from both experiment and other computations. A brief study of the effect of flow control vanes on the aeroelastic stability of the bridge is also presented and the results from DIVEX are shown to be in accordance with previous analytical and experimental studies. In conclusion, the results indicate that DIVEX is a very useful design tool in the field of wind engineering.

References

  1. Reinhold, T.A., Brinch, M. and Damsgaard, A. (1992), "Wind tunnel tests for the great belt link", Aerodyn. Large Bridges, ed. A. Larsen, Proc. 1st Int. Symp., Copenhagen, Denmark, 19-21 February, 255-267.
  2. Sarpkaya, T. (1989), "Computational methods with vortices - the 1988 freeman scholar lecture", J. Fluids Eng., 111, 5-52. https://doi.org/10.1115/1.3243601
  3. Scanlan, R.H. and Tomko, J.J. (1971), "Airfoil and bridge deck flutter derivatives." J. Eng. Mech. Div., ASCE., 97, 1717-1737.
  4. Scanlan, R.H. (1992), "Wind dynamics of long-span bridges", Aerodyn. Large Bridges, ed. A. Larsen, Proc. 1st Int. Symp., Copenhagen, Denmark, 19-21 February, 47-57.
  5. Scanlan, R.H. (1997), "Some observations on the state of bluff-body aeroelasticity", J. Wind Eng. Ind. Aerodyn., 69-71, 77-90. https://doi.org/10.1016/S0167-6105(97)00148-7
  6. Simiu, E. and Scanlan, R.H. (1986), Wind Effects on Structures : An Introduction to Wind Engineering. 2nd Edition, John Wiley and Sons.
  7. Spalart, P.R. (1988), "Vortex methods for separated flows", NASA TM 100068.
  8. Taylor, I.J. and Vezza, M. (1997), "Application of a zonal decomposition algorithm, to improve the computational operation count of the discrete vortex method calculation", G.U. Aero Report No. 9711, Dept. of Aerospace Engineering, University of Glasgow, Scotland, UK.
  9. Taylor, I.J. and Vezza, M. (1999a), "Prediction of unsteady flow around square and rectangular cylinders using a discrete vortex method", J. Wind Eng. Ind. Aerod., 82, 247-269. https://doi.org/10.1016/S0167-6105(99)00038-0
  10. Taylor, I.J. and Vezza, M. (1999b), "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, 271-291. https://doi.org/10.1016/S0167-6105(99)00041-0
  11. Taylor, I.J. (1999c), "Study of bluff body flow fields and aeroelastic stability using a discrete vortex Method", Ph.D. Thesis, Dept. of Aerospace Engineering, University of Glasgow, Scotland, UK.
  12. Vezza, M. (1992), "A new vortex method for modelling two-dimensional, unsteady incompressible, viscous flows", G.U. Aero Report No. 9245, Dept. of Aerospace Engineering, University of Glasgow, Scotland, UK.
  13. Walther, J.H. (1994), "Discrete vortex method for two-dimensional flow past bodies of arbitrary shape undergoing prescribed rotary and translational motion", AFM-94-11, Ph.D. Thesis, Department of Fluid Mechanics, Technical University of Denmark.
  14. 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
  15. Walther, J.H. and Larsen, A. (1997), "Two dimensional discrete vortex method for application to bluff body aerodynamics", Proc. 2nd Int. Conf. on CWE (CWE 96), Fort Collins, Colorado, USA, 4-8 Aug. 1996.
  16. Huston, D.R., Bosch, H.R. and Scanlan, R.H. (1988), "The effects of fairings and of turbulence on the flutter derivatives of a notably unstable bridge deck", J. Wind Eng. Ind. Aerod. 29(1-3), 339-349. https://doi.org/10.1016/0167-6105(88)90172-9
  17. Kobayashi, H. and Nagaoka, H. (1992), "Active control of flutter of a suspension bridge", J. Wind Eng. Ind. Aerod. 41-44, 143-151.
  18. Koumoutsakos, P. and Leonard, A. (1995), "High-resolution simulations of the flow around an impulsively started cylinder using vortex methods", J. Fluid Mech. 296, 1-38. https://doi.org/10.1017/S0022112095002059
  19. Kuroda, S. (1997), "Numerical simulation of flow around a box girder of a long span suspension bridge", J. Wind Eng. Ind. Aerod. 67-68, 239-252. https://doi.org/10.1016/S0167-6105(97)00076-7
  20. Larsen, A. and Gimseng, N.J. (1992), "Wind engineering aspects of the east bridge tender project", J. Wind Eng. Ind. Aerod. 41-44, 1405-1416.
  21. Larsen, A. (1993), "Aerodynamic aspects of the final design of the 1624 m suspension bridge across the great belt", J. Wind Eng. Ind. Aerod. 48, 261-285. https://doi.org/10.1016/0167-6105(93)90141-A
  22. Larsen, A. (1997a), "Advances in aeroelastic analysis of suspension and cable-stayed bridges", Proc. 2nd European and African Conf. Wind Eng., Genova, Italy, 22-26 June 1997: 61-75.
  23. Larsen, A. and Walther, J.H. (1997b), "Aeroelastic analysis of bridge girder sections based on discrete vortex simulations", J. Wind Eng. Ind. Aerod. 67-68, 253-265. https://doi.org/10.1016/S0167-6105(97)00077-9
  24. Leonard, A. (1980), "Vortex methods for flow simulation", J. Comp. Phys., 37, 289-335. https://doi.org/10.1016/0021-9991(80)90040-6
  25. Lin, H. and Vezza, M. (1996), "A pure vortex method for simulating unsteady, incompressible, separated flows around static and pitching aerofoils", Proc. 20th ICAS Conf., Sorrento, Italy, 8-13 September, 2184-2193.
  26. Lin, H., Vezza, M. and Galbraith, R.A.McD. (1997a), "Discrete vortex method for simulating unsteady flow around pitching aerofoils", AIAA J., 35(3), 494-499. https://doi.org/10.2514/2.122
  27. Lin, H. (1997b), "Prediction of separated flows around pitching aerofoils using a discrete vortex method", Ph.D. Thesis, Dept. of Aerospace Engineering, University of Glasgow, Scotland, UK.
  28. Nagao, F., Utsunomiya, H., Oryu, T. and Manabe, S. (1993), "Aerodynamic efficiency of triangular fairing on box girder bridge", J. Wind Eng. Ind. Aerod. 49, 565-574. https://doi.org/10.1016/0167-6105(93)90050-X
  29. Ostenfeld, K.H. and Larsen, A. (1992), "Bridge engineering and aerodynamics", Aerodyn. Large Bridges, ed. A. Larsen, Proc. 1st Int. Symp., Copenhagen, Denmark, 19-21 February, 3-22.
  30. Puckett, E.G. (1993), "Vortex methods : an introduction and survey of selected research topics", Incompressible Computational Fluid Dynamics, (ed. M.D. Gunzburger and R.A. Nicolaides), Cambridge University Press: 335-407.
  31. Bergstrom, D.J. and Wang, J. (1997), "Discrete vortex method of flow over a square cylinder", J. Wind Eng. Ind. Aerod. 67-68, 37-49. https://doi.org/10.1016/S0167-6105(97)00061-5
  32. Bergstrom, D.J. and Wang, J. (1997), "Discrete vortex method of flow over a square cylinder", Proc. 2nd Int. Conf. on CWE (CWE 96), Fort Collins, Colorado, USA, 4-8 Aug. 1996.
  33. Bienkiewicz, B. and Kutz, R.F. (1993), "Aerodynamic loading and flow past bluff bodies using discrete vortex method", J. Wind Eng. Ind. Aerod. 46-47, 619-628. https://doi.org/10.1016/0167-6105(93)90330-Q
  34. Billah, K.Y. and Scanlan, R.H. (1991), "Resonance, tacoma narrows bridge failure, and undergraduate physics textbooks", American J. of Phys. 59(2), 118-124. https://doi.org/10.1119/1.16590
  35. Carrier, J., Greengard, L. and Rokhlin, V. (1988), "A fast adaptive multipole algorithm for particle simulations", SIAM J. Sci. Stat. Comp. 9, 669-686. https://doi.org/10.1137/0909044
  36. Chorin, A.J. (1973), "Numerical study of slightly viscous flow", J. Fluid Mech. 57, 785-796. https://doi.org/10.1017/S0022112073002016
  37. Clarke, N.R. and Tutty, O.R. (1994), "Construction and validation of a discrete vortex method for the twodimensional incompressible navier-stokes equations", Computers and Fluids, 23(6), 751-783. https://doi.org/10.1016/0045-7930(94)90065-5
  38. Cobo Del Arco, D. and Bengoechea, A.C.A. (1997), "Some proposals to improve the wind stability performance of long span bridges", Proc. 2nd European and African Conf. Wind Eng., Genova, Italy, 22-26 June 1997: 1577-1584.
  39. Dyrbye, C. and Hansen, S.O. (1996), Wind Loads on Structures John Wiley and Sons. (English edition.).

Cited by

  1. An immersed interface method for the Vortex-In-Cell algorithm vol.85, pp.11-14, 2007, https://doi.org/10.1016/j.compstruc.2007.01.020
  2. Numerical investigation of the effects of pedestrian barriers on aeroelastic stability of a proposed footbridge vol.96, pp.12, 2008, https://doi.org/10.1016/j.jweia.2008.04.004
  3. Numerical investigation of the coupled interaction between an unsteady aerodynamic flow field and a water film coating on a circular cylinder vol.54, 2015, https://doi.org/10.1016/j.jfluidstructs.2014.11.008
  4. Pseudo three-dimensional simulation of aeroelastic response to turbulent wind using Vortex Particle Methods vol.72, 2017, https://doi.org/10.1016/j.jfluidstructs.2017.04.001
  5. Numerical simulation of the airflow–rivulet interaction associated with the rain-wind induced vibration phenomenon vol.99, pp.9, 2011, https://doi.org/10.1016/j.jweia.2011.03.012
  6. Parallel scalability and efficiency of vortex particle method for aeroelasticity analysis of bluff bodies 2018, https://doi.org/10.1007/s40571-018-0185-8
  7. A numerical investigation into the aerodynamic characteristics and aeroelastic stability of a footbridge vol.25, pp.1, 2009, https://doi.org/10.1016/j.jfluidstructs.2008.05.001
  8. Wind-induced characteristics of two-edge girders for the bending degree-of-freedom vol.9, pp.6, 2005, https://doi.org/10.1007/BF02831486
  9. Discrete vortex method simulations of the aerodynamic admittance in bridge aerodynamics vol.98, pp.12, 2010, https://doi.org/10.1016/j.jweia.2010.06.011
  10. New developments in rain–wind-induced vibrations of cables vol.163, pp.2, 2010, https://doi.org/10.1680/stbu.2010.163.2.73
  11. Modelling of inflow-conditions for vortex particle methods to simulate atmospheric turbulence and its induced aerodynamic admittance on line-like bluff bodies vol.32, pp.10, 2018, https://doi.org/10.1080/10618562.2018.1542132