Abstract
A numerical procedure for aerodynamic load analysis of long span bridges is presented. The preconditioned Reynolds averaged Navier-Stokes equations are adopted to compute flows over the bridges. To capture the turbulent characteristics of the flows, two equation turbulence models, Coakley’s q − ω model and Menter’s k − ω SST model, are used to compute the turbulent viscosity. A dual time stepping method in conjunction with the AF-ADI method is used to advance the solution in time. A loosely coupled method of the preconditioned RANS equations with the turbulence model equations is employed for fast computation without losing numerical stability. The numerical method for the aerodynamic load analysis is verified against well-known benchmark problems. Aerodynamic loads of two real bridges are computed with the method to demonstrate the usefulness of the method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Shirai and T. Ueda, Aerodynamic Simulation by CFD on Flat Box Girder of Super-Long-Span Suspension Bridge, Journal of Wind Engineering and Industrial Aerodynamics, 91(1–2) (2003) 279–290.
A. Larsen and J. H. Walther, Discrete Vortex Simulation of Flow around Five Generic Bridge Deck Sections, Journal of Wind Engineering and Industrial Aerodynamics, 77–78 (1998) 591–602.
T. J. Coakley, Turbulence Modeling Methods for the Compressible Navier-Stokes Equations, AIAA paper 83-1693, 1983.
F. R. Menter, Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications, AIAA Journal, 32(8) (1994) 1598–1605.
J. M. Weiss and W. A. Smith, Preconditioning Applied to Variable and Constant Density Flows, AIAA Journal, 33(11) (1995) 2050–2057.
R. L. Roe, Approximate Riemann Solvers, Parameter Vectors and Difference Schemes, Journal of Computational Physics, 43(2) (1981) 357–372.
B. Van Leer, Towards the Ultimate Conservative Difference Scheme. V. A Second Order Sequel to Godunov’s Method, Journal of Computational Physics, 32(1) (1976) 101–136.
R. M. Beam and R. F. Warming, Implicit Numerical Methods for the Compressible Navier-Stokes and Euler Equations, von Karman Institute for Fluid Dynamics Lecture Series (1982).
C. L. Merkle and M. Athavale, Time-Accurate Unsteady Incompressible Flow Algorithms Based on Artificial Compressibility, AIAA paper 87-1137, Proceedings of AIAA 8th Computational Fluid Dynamics Conference (1987).
S. Venkateswaran, and C. L. Merkle, Analysis of Preconditioning Methods for the Euler and Navier-Stokes Equations, von Karman Institute Lecture Series (1999).
S. Lee and D. W. Choi, On Coupling the Reynoldsaveraged Navier-Stokes Equations with Two-equation Turbulence Model Equations, International Journal for Numerical Methods in Fluids, 50(2) (2006) 165–197.
C. Liu, X. Zheng and C. H. Sung, Preconditioned Multigrid Methods for Unsteady Incompressible Flows, Journal of Computational Physics, 139(1) (1998) 35–57.
A. Larsen, Advances in Aeroelastic Analysis of Suspension and Cable-Stayed Bridges, Journal of Wind Engineering and Industrial Aerodynamics, 74–76 (1998) 73–90.
Fluent. Inc, FLUENT 6.1 User’s Guide (2003).
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was recommended for publication in revised form by Associate Editor Kyung-Soo Yang
Ilyong Yoo is a Ph.D. candidate in Aerodynamic Analysis and Design Laboratory at Inha University. He received his B.S. and M.S. degrees in Aerospace Engineering from Inha University in 2004 and 2006, respectively. His research area includes computational fluid dynamics, and its application to active flow control using MEMS devices.
Einkeun Kwak is a Ph.D. candidate in Aerodynamic Analysis and Design Laboratory at Inha University. He holds B.S. and M.S. degrees in Aerospace Engineering from Inha University. His research area includes computational fluid dynamics, and its application to supersonic inlet analysis and design.
Seungsoo Lee is a professor in Aerospace Engineering at Inha University. Prior to joining the faculty at Inha University, he was a senior research engineer at the Agency for Defense Development. He earned his Ph.D. degree from the Pennsylvania State University in 1990. He also holds B.S. and M.S degrees in Aeronautical and Astronautical Engineering from Seoul National University. Dr. Lee’s research interests are in the area of computational fluid dynamics, overset grid method, and applied aerodynamics.
Beom Soo Kim received his B.S. and M.S degrees in Aeronautical and Astronautical Engineering from Seoul National University in 1974 and 1977, respectively. He earned his Ph.D. degree from University of Oklahoma in 1983. Dr. Kim is currently a Professor at the Department of Aerospace Engineering at Inha University. Dr. Kim’s research interests are in the area of hypersonic aerodynamics, and wind tunnel testing.
Si Hyong Park is a developer in the applied analysis team of MidasIT Co. Ltd, Korea. He received the Bachelor, the Master and the Ph.D degree in Aerospace Engineering from Seoul National University in 1996, in 1998 and in 2003, respectively. His research interest is currently development of CAE software including FEM, CFD and Multi-physics simulation.
Rights and permissions
About this article
Cite this article
Yoo, I., Kwak, E., Lee, S. et al. Computational study on aerodynamics of long-span bridges. J Mech Sci Technol 23, 802–813 (2009). https://doi.org/10.1007/s12206-009-0115-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-009-0115-z