ALE-VMS methods for wind-resistant design of long-span bridges

Abstract For unsteady aerodynamics, the Arbitrary Lagrangian-Eulerian Variational Multi-Scale (ALE-VMS) formulation for incompressible flows has proven an accurate and powerful method. In this paper we present an overview of some of its applications to wind engineering of long-span bridges, including flutter and buffeting analysis and vortex-induced vibrations. In general the numerical results compare well with the companion wind-tunnel experiments. Further, we use the method to address more special topics of bluff-body aerodynamic; the impact of inlet turbulence on the self-excited forces and the nonconforming span-wise coherence structures of turbulence and buffeting forces. The present work demonstrates the completeness and accuracy of ALE-VMS, and proves it to be a viable engineering tool for bridge aerodynamics.

[1]  Ahsan Kareem,et al.  An overview of vortex-induced vibration (VIV) of bridge decks , 2012 .

[2]  Robert H. Scanlan,et al.  MOTION-RELATED BODY-FORCE FUNCTIONS IN TWO-DIMENSIONAL LOW-SPEED FLOW , 2000 .

[3]  Yuri Bazilevs,et al.  Isogeometric Modeling and Experimental Investigation of Moving-Domain Bridge Aerodynamics , 2019, Journal of Engineering Mechanics.

[4]  Robert H. Scanlan,et al.  AIR FOIL AND BRIDGE DECK FLUTTER DERIVATIVES , 1971 .

[5]  G. Hulbert,et al.  A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method , 2000 .

[6]  Tayfun E. Tezduyar,et al.  SPACE–TIME FLUID–STRUCTURE INTERACTION METHODS , 2012 .

[7]  Giorgio Diana,et al.  Wind tunnel tests and numerical approach for long span bridges: the Messina bridge , 2013 .

[8]  Nicholas P. Jones,et al.  COUPLED FLUTTER AND BUFFETING ANALYSIS OF LONG-SPAN BRIDGES , 1996 .

[9]  C. Costa,et al.  Aerodynamic admittance functions and buffeting forces for bridges via indicial functions , 2007 .

[10]  Tayfun E. Tezduyar,et al.  Tire aerodynamics with actual tire geometry, road contact and tire deformation , 2018, Computational Mechanics.

[11]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, II: Buffeting theory , 1978 .

[12]  T. Tezduyar,et al.  Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements , 2003 .

[13]  Emil Simiu,et al.  Wind effects on structures : fundamentals and applications to design , 1996 .

[14]  Ragnar Sigbjörnsson,et al.  Finite element formulation of the self-excited forces for time-domain assessment of wind-induced dynamic response and flutter stability limit of cable-supported bridges , 2012 .

[15]  A. Kareem,et al.  AERODYNAMIC COUPLING EFFECTS ON FLUTTER AND BUFFETING OF BRIDGES , 2000 .

[16]  Roberto Scotta,et al.  Numerical wind tunnel for aerodynamic and aeroelastic characterization of bridge deck sections , 2016 .

[17]  Thomas J. R. Hughes,et al.  Multiscale and Stabilized Methods , 2007 .

[18]  Yuri Bazilevs,et al.  Using ALE-VMS to compute aerodynamic derivatives of bridge sections , 2019, Computers & Fluids.

[19]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[20]  A. G. Davenport Buffeting of a Suspension Bridge by Storm Winds , 1962 .

[21]  Hyung Jin Sung,et al.  Comparative study of inflow conditions for spatially evolving simulation , 1997 .

[22]  J. Nitsche Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind , 1971 .

[23]  Allan Larsen,et al.  Aeroelastic analysis of bridge girder sections based on discrete vortex simulations , 1997 .

[24]  T. Hughes,et al.  Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes , 2010 .

[25]  Yuri Bazilevs,et al.  Wind turbine aerodynamics using ALE–VMS: validation and the role of weakly enforced boundary conditions , 2012 .

[26]  Jiyuan Tu,et al.  Computational Fluid Structure Interaction , 2015 .

[27]  J. Mann,et al.  Gust loading on streamlined bridge decks , 1998 .

[28]  Yuri Bazilevs,et al.  Computation of the Flow Over a Sphere at Re = 3700: A Comparison of Uniform and Turbulent Inflow Conditions , 2014 .

[29]  T. Hughes,et al.  Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows , 2007 .

[30]  Tayfun E. Tezduyar,et al.  Space–time VMS computational flow analysis with isogeometric discretization and a general-purpose NURBS mesh generation method , 2017 .

[31]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, I: Flutter theory† , 1978 .

[32]  T.J.A. Agar,et al.  Aerodynamic flutter analysis of suspension bridges by a modal technique , 1989 .

[33]  T. Hughes,et al.  Large Eddy Simulation and the variational multiscale method , 2000 .

[34]  Tayfun E. Tezduyar,et al.  Sequentially-coupled space–time FSI analysis of bio-inspired flapping-wing aerodynamics of an MAV , 2014 .

[35]  Silvano Erlicher,et al.  Pseudopotentials and Loading Surfaces for an Endochronic Plasticity Theory with Isotropic Damage , 2008, 0901.1447.

[36]  Hiromichi Shirato,et al.  Coherence characteristics of fluctuating lift forces for rectangular shape with various fairing decks , 2014 .

[37]  Tayfun E. Tezduyar,et al.  Special methods for aerodynamic-moment calculations from parachute FSI modeling , 2015 .

[38]  Francesco Ubertini,et al.  On the identification of flutter derivatives of bridge decks via RANS turbulence models: Benchmarking on rectangular prisms , 2014 .

[39]  Ledong Zhu,et al.  Identification and application of six-component aerodynamic admittance functions of a closed-box bridge deck , 2018 .

[40]  Ragnar Sigbjörnsson,et al.  Simplified prediction of wind-induced response and stability limit of slender long-span suspension bridges, based on modified quasi-steady theory: A case study , 2010 .

[41]  Thomas J. R. Hughes,et al.  Weak imposition of Dirichlet boundary conditions in fluid mechanics , 2007 .

[42]  Nicholas P. Jones,et al.  Time domain vs. frequency domain characterization of aeroelastic forces for bridge deck sections , 2003 .

[43]  Parviz Moin,et al.  Large-eddy simulation of a concave wall boundary layer , 1996 .

[44]  Francesco Ubertini,et al.  On the evaluation of bridge deck flutter derivatives using RANS turbulence models , 2013 .

[45]  Yuri Bazilevs,et al.  High-performance computing of wind turbine aerodynamics using isogeometric analysis , 2011 .

[46]  Yuri Bazilevs,et al.  Modeling and simulation of bridge-section buffeting response in turbulent flow , 2019, Mathematical Models and Methods in Applied Sciences.

[47]  S. Krenk,et al.  IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics : proceedings of the IUTAM Symposium held in Trondheim, Norway, 3-7 July 1995 , 1996 .

[48]  G. L Larose,et al.  Experimental Determination of the Aerodynamic Admittance of a Bridge Deck Segment , 1999 .

[49]  Anders Brandt,et al.  Aerodynamic Instability Investigations of a Novel, Flexible and Lightweight Triple-Box Girder Design for Long-Span Bridges , 2018, Journal of Bridge Engineering.

[50]  Mohsen A. Issa,et al.  Behavior of masonry-infilled nonductile reinforced concrete frames , 2002 .

[51]  Ole Øiseth,et al.  On the importance of cross-sectional details in the wind tunnel testing of bridge deck section models , 2017 .

[52]  Victor M. Calo,et al.  Weak Dirichlet Boundary Conditions for Wall-Bounded Turbulent Flows , 2007 .

[53]  Oreste S. Bursi,et al.  Bouc–Wen-Type Models with Stiffness Degradation: Thermodynamic Analysis and Applications , 2008, 0901.1448.

[54]  Ahsan Kareem,et al.  Nonlinear response analysis of long-span bridges under turbulent winds , 2001 .

[55]  Ole Øiseth,et al.  Measured Buffeting Response of a Long-Span Suspension Bridge Compared with Numerical Predictions Based on Design Wind Spectra , 2017 .

[56]  W. Sears,et al.  Some Aspects of Non-Stationary Airfoil Theory and Its Practical Application , 1941 .

[57]  A. Kareem,et al.  TIME DOMAIN FLUTTER AND BUFFETING RESPONSE ANALYSIS OF BRIDGES , 1999 .

[58]  Claudio Borri,et al.  Time-domain buffeting simulations for wind–bridge interaction , 2007 .

[59]  Yuri Bazilevs,et al.  Computational and experimental investigation of free vibration and flutter of bridge decks , 2018, Computational Mechanics.

[60]  Yasuharu Nakamura,et al.  The effects of turbulence on bluff-body mean flow , 1988 .

[61]  Yuri Bazilevs,et al.  ALE-VMS AND ST-VMS METHODS FOR COMPUTER MODELING OF WIND-TURBINE ROTOR AERODYNAMICS AND FLUID–STRUCTURE INTERACTION , 2012 .

[62]  John Sheridan,et al.  Response of base suction and vortex shedding from rectangular prisms to transverse forcing , 2002, Journal of Fluid Mechanics.

[63]  Ole Øiseth,et al.  An enhanced identification procedure to determine the rational functions and aerodynamic derivatives of bridge decks , 2018 .

[64]  T. Tezduyar,et al.  3D simulation and visualization of unsteady wake flow behind a cylinder , 1999 .