Numerical simulations of wind effects on flexible civil engineering structures
Keywords:
Fluid-structure interaction, wind effects, aeroelastic coefficients, finite elements, ALE formulation, coupling algorithm, torsional flutter,, vortex sheddingAbstract
In this paper, we present the global set of elements required for the numerical simulation of wind effects on elementary bridge profiles, particularly possible aeroelastic instabilities. We also propose a possible methodology which is based on an efficient coupling algorithm, a finite-element solver for three-dimensional incompressible Navier-Stokes equations in a moving domain and a structural solver. The fluid solver is detailed, the emphasis being put on the ALE formulation. Numerical and experimental results are compared for cases with a structural rigid motion. On a rectangle, numerical simulations for forced oscillation (heaving or rotation) are qualitatively correct, rather inaccurate, but in good agreements with free oscillation numerical simulations though. On an H-shaped section close to the Tacoma Narrows bridge profile, numerical results are both qualitatively and quantitatively very satisfactory and promising.
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[ARN 84] ARNOLD D., BREZZI F., FORTIN M., <
». Calcolo, vol. 21, n° 4, p. 337-344, 1984.
[BAT 90] BATINA 1., << Unsteady Euler Airfoil Solutions Using Unstructured Dynamic
Meshes ». A!AA 1., vol. 28, p. 1381-1388, August 1990.
[BEC 99] BECKER-LEMGAU U., STECKEL B., TILCH R., << The GRISSLi Coupling
Interface for Multi-Disciplinary Simulations and the Twin-Roller Process >>. In
KVAMSDAL T., ENEVOLDSEN 1., HERFJORD K., JENSSEN C. B., MEHR K., NORSETT
S. P., Eds., Computational Methods for Fluid-Structure Interaction, FSI'99, p. 89-98.
Tapir, 1999.
[BER 99] BERGAN P., NESTEGARD A., SKEIE G., << Trends in use of computational methods
for fluid-structure interactions in the maritime industry >>. In KYAMSDAL T.,
ENEYOLDSEN 1., HERFJORD K., JENSSEN C. B., MEHR K., NORSETT S. P., Eds., Computational
Methods for Fluid-Structure Interaction, FSI'99, p. 197-210. Tapir, 1999.
[CHA 99] CHAPELLE D., FERNANDEZ-VARELA M.-A., LE TALLEC P., << Un modele simplifie
d'interaction fluide-structure >>. Rapport technique RR-3703, INRIA, June 1999.
[CIA 78] C!ARLET P., The Finite Element Method for Elliptic Problems. North HollandElsevier
Science Publishers, Amsterdam, New York, Oxford, 1978.
[CIS97] << CISPAR - open interface for Coupling of Industrual Simulation codes on PARallel
computers; ESPRIT Project 20161 >>. see http://www.pallas.de/cispar/mhomc.htm, 1997.
[COC97] << COCO LIB Deliverable 1.1: Specification of the COupling COmmunications LIBrary;
CISPAR ESPRIT Project 20161 >>. see http://www.pallas.de/cispar/pages/docu.html,
[DON 82] DONE/ J., GIULIANI S., HALLEUX J., «An Arbitrary Lagrangian Eulerian Finite
Element Method for Transient Dynamic Fluid-Structure Interactions >>. Comput. Methods
Appl. Mtch. Engineering, vol. 33, p. 689-723, 1982.
[FAR 98] FARHAT C., LESOINNE M., LE TALLEC P., <
for Fluid/Structure Interaction Problems with Non-Matching Discrete Interfaces: Momentum
and Energy Conservation, Optimal Discretization and Application to Aeroelasticity >>.
Comput. Methods Appl. Mech. Engineering, vol. 157, p. 95-114, 1998.
[FLA 99] FLAMAND 0., GRILLAUD G.,« Mesure du champ de pression autour de maquettes
sectionnelles representatives de tabliers de ponts >>. Rapport technique EN-AEC 99.39 C,
CSTB, Nantes, October 1999.
[GUR 89] GURUSWAMY G., << Integrated Approach for Active Coupling of Structures and
Fluids>>. AIAA J., vol. 27 , p. 788-793, June 1989.
[HIL 77] HILBER H., HUGHES T., TAYLOR R., << Improved numerical dissipation for time
integration algorithms in structural dynamics >>. Earthquake Engineering and Structural
Dynamics, vol. 5, p. 283-292, 1977.
[HUF 93] HUFFMAN W., MELVIN R., YOUNG D., JOHNSON F., 8USSOLETTI J. E.,
BIETERMAN M., HILMES C.,<< Practical Design and Optimization in Computational Fluid
Dynamics >>. In 11th AIAA Computational Fluid Dynamics Conference, Orlando, Florida,
July 6-9 1993. AIAA paper 93-3111.
[LEC 84] LECOINTE Y., PIQUET J ., << On the use of several compact methods for the study of
unsteady incompressible viscous flow round a circular cylinder>>. Comput. & Structures,
vol. 12, no 4, p. 255-280, 1984.
[LES 93] LESOINNE M., FARHAT C., << Stability analysis of dynamic meshes for transient
aeroelastic computations ». In lith AJAA Computational Fluid Dynamics Conference,
Orlando, Florida, July 6-9 1993. AIAA paper 93-3325.
[LES 98] LESOINNE M., FARHAT C., << A Higher-Order Subiteration Free Staggered Algorithm
for Nonlinear Transient Aeroelastic Problems>>. AJAA J., vol. 36, no 9, p. 1754-1756,
[LOH 88] LOHNER R., <
Bodies>>. Comput. & Structures, vol. 30, no 1/2, p. 303-317, 1988.
[MAY 99] MAYER S., HANSEN E., BRYNDUM M., SORTLAND L., VERLEY R., NES
H., << KNumerical modelling of pipeline free span vibrations >>. In KVAMSDAL T.,
ENEVOLDSEN I., HERFJORD K., JENSSEN C. B., MEHR K., NORSETT S. P., Eds., Computational
Methods for Fluid-Structure Interaction, FS/'99, p. 325-336. Tapir, 1999.
[MED 99] MEDIC G., <
numerique d'ecoulements turbulents sur parois fixes et mobiles >>. PhD thesis,
Universite de Paris VI, 1999.
[NOM 92] NOMURA T., HUGHES T., <
for interaction of fluid and a rigid body>>. Comput. Methods App/. Mech. Engineering,
vol. 95, p. 115-138, 1992.
[OTS 74] 0TSUKI Y., WASHIZU K., TOMIZAWA H., OHYA A.,<< A note on the aeroelastic
instability of a prismatic bar with square section >>. J. Sound Vibration, vol. 34, n° 2, p.
-248, 1974.
[PAR 92] PARES MADRONAL C., << Etude mathematique et approximation numerique de
quelques problemes aux limites de Ia mecanique des fiuides >>. PhD thesis, Universite de
Paris VI, 1992.
[PIP 96] PIPERNO S., << Two-dimensional Euler aeroelastic simulations with interface matching
relaxation>>. In DESIDERI J.-A., LE TALLEC P., ONATE E., PERIAUX J., STEIN
E., Eds., Proceedings of the Second ECCOMAS Conference on Numerical Methods in Engineering,
p. 898-904, Paris, France, September 9-13 1996. John Wiley & Sons.
[PIP 97] PIPERNO S., «Explicit/Implicit Fluid/Structure Staggered Procedures with a Structural
Predictor and Fluid Subcycling for 2D Inviscid Aeroelastic Simulations ». Internal. J.
Numer. Methods Fluids, vol. 25, p. 1207-1226, 1997.
[PIP 98] PIPERNO S., «Numerical simulation of aeroelastic instabilities of elementary bridge
decks>>. Rapport technique RR-3549, INRIA, 1998.
[PIP 99] PIPERNO S., FARHAT C.,<< Partitioned Procedures for the Transient Solution of Coupled
Aeroelastic Problems- Part II: Energy Transfer Analysis and Three-Dimensional Applications>>.
To appear in Comput. Methods Appl. Mech. Engineering.
[PIR 88] PIRONNEAU 0., Methodes des elements finis pour les fluides. Collection Recherches
en Mathematiques Appliquees. Masson, Paris, 1988.
[SCA 71] SCANLAN R., TOMKO J., «Airfoil and bridge deck flutter derivatives>>. Journal
ofthe Engineering Mechanics Division, ASCE, vol. 97, no EM6, p. 1717-1737, December
[SCA 79] SCANLAN R., «On the State of Stability Considerations for suspended-span bridges
under Wind>>. In Proceedings IUTAM-IAHR Symposium, p. 595-618, Karlsruhe, Germany,
[SIM 96] SIMIU E., SCANLAN R., Wind effects on structures. John Wiley & Sons, New York,
London, Sydney, third edition, 1996.
[THO 88] THORNTON E., DECHAUMPHAI P., «Thermal and Structural Analysis of Aerodynamically
Heated Panels >>. Journal of Aircraft, vol. 25, no 11, p. I 052-1059, 1988.
[TRA 97] TRAN H., KOOBUS B., FARHAT C.,« Numerical simulations of vortex shedding
flows past moving obstacles using the k - E turbulence model on unstructured dynamic
meshes>>. Rapport technique 97-16, Center for Aerospace Structures, University of Colorado,
Boulder, Colorado, October 1997.
[WAS 78] WASHIZU K., 0HYA A., OTSUKI Y., FUJII K., « Aeroelastic instability of rectangular
cylinders in a heaving mode>>. J. Sound Vibration, vol. 59, no 2, p. 195-210, 1978.
[WAS 80] WASHIZU K., OHYA A., OTSUKI Y., FUJII K., « Aeroelastic instability of rectangular
cylinders in a torsional mode due to a transverse wind >>. J. Sound Vibration, vol. 72,
n° 4, p. 507-521' 1980.
[WIL 99] WILLDEN R., GRAHAM J ., << Numerical simulation of the flow about deep water
riser pipes>>. In KYAMSDAL T., ENEYOLDSEN 1., HERFJORD K., JENSSEN C. B., MEHR
K., NORSETT S. P., Eds., Computational Methods for Fluid-Structure Interaction, FS/'99,
p. 315-324. Tapir, 1999.