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Aero-elastic instability is one of the important issues for wind-resistant design of large span suspension and cable-stayed bridges.In this paper,a novel numerical method with large-eddy simulation turbulence model based on user-defined functions(UDFs)and dynamic mesh techniques of ANSYS Fluent was presented.As a validation case,the numerical simulation of aero-elastic instability a thin plate with aspect ratio of 22.5 at 0o attack angle under smooth flow condition was conducted firstly.The numerical simulation results were compared with theory results and experimental results separately.Thereafter the aero-elastic instability of a box girder section of a large-span suspension bridge was investigated.The numerical results are compared with wind tunnel tests results.Finally,the aero-elastic instability of the box girder section with central stability plate was investigated.The mechanism of the aerodynamics countermeasures for flutter stability of the box girder section of suspension bridge was analysed.