Stable Boundary Element Method/Finite Element Method Procedure for Dynamic Fluid–Structure Interactions
Publication: Journal of Engineering Mechanics
Volume 128, Issue 9
Abstract
The stability problem has prevented the application of the boundary element method/finite element method (BEM/FEM) coupling procedure in dynamic fluid–structure interaction problems for the last 2 decades. It has been proved that the linear θ method can make a significant stability improvement for the time domain BEM scheme. With the use of the linear θ method, the BEM/FEM coupling procedure is applied to two-dimensional time domain fluid–structure interaction problems. The fluid domain is acoustic and modeled by taking advantage of the BEM scheme that is suitable to either finite or infinite domains. An internal source has been considered in BEM formulations, and no artificial boundary needs to be introduced for the infinite domain. The structure is modeled by finite elements that can be either linear or nonlinear. Two classical examples are given to show the validity of the coupling procedure in fluid–structure interaction problems and the significant stability improvement given by the linear θ method to the BEM/FEM coupling procedure.
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References
Bettess, P., and Bettess, J.(1991). “Infinite elements for dynamic problems: Part 2.” Eng. Computations, 8, 125–151.
Chen, S., and Liu, Y. (1998). “Application of a new composite BIE for 3-D acoustic problems.” Boundary elements XX, A. Kassab, M. Chopra, and C. A. Brebbia, eds., Computational Mechanics, Southampton and Boston, 521–530.
Ciskowski, R. D., and Brebbia, C. A. (1991). Boundary element methods in acoustics, Computational Mechanics, Southampton.
DiMaggio, F. L., Sandler, I. S., and Rubin, D.(1981). “Uncoupling approximations in fluid–structure interaction problems with cavitation.” ASME J. Appl. Mech., 48, 753–756.
Dominguez, J. (1983). Boundary elements in dynamics, Computational Mechanics Publications–Elsevier Applied Science, Southampton.
Frangi, A.(2000). ““Casual” shape functions in the time domain boundary element method.” Computational Mech., Berlin, 25, 533–541.
Geers, T. L.(1969). “Excitation of an elastic cylindrical shell by a transient acoustic wave.” ASME J. Appl. Mech., 36, 459–469.
Hamdan, F. H., and Dowling, P. J.(1995). “Far-field fluid–structure interaction—Formulation and validation.” Comput. Struct., 56(6), 949–958.
Mansur, W. J. (1983). “A time-stepping technique to solve wave propagation problems using the boundary element method.” PhD thesis, University of Southampton.
Mindlin, R. D., and Bleich, H. H.(1952). “Response of an elastic cylinder shell to a transverse step shock wave.” ASME J. Appl. Mech., 20, 189–195.
O’Regan, S. D., and DiMaggio, F.(1990). “Dynamic response of submerged shells with appendages.” J. Eng. Mech., 116(10), 2275–2292.
Peirce, A., and Siebrits, E.(1997). “Stability analysis and design of time-stepping schemes for general elastodynamic boundary element models.” Int. J. Numer. Methods Eng., 40, 319–342.
Pinksy, P. M., and Abboud, N. N.(1990). “Transient finite element analysis of the exterior structural acoustic problem.” J. Vibr. Acoust., 112, 245–256.
Ranlet, D., DiMaggio, F. L., Bleich, H. H., and Baran, M. L.(1977). “Elastic response of submerged shells with internally attached structures to shock wave loading.” Comput. Struct., 7, 355–364.
Soliman, M., and DiMaggio, F. L.(1983). “Doubly asymptotic approximations as nonreflecting boundaries in fluid–structure interaction problems.” Comput. Struct., 7(2), 193–204.
Tanaka, M., Matsumoto, T., and Oida, S. (1998). “Boundary element analysis of certain structural–acoustic coupling problems and its application.” Boundary Elements X, A. Kassab, M. Chopra, and C. A. Brebbia, eds., Computational Mechanics, Southampton, 511–520.
Yu, G., Mansur, W. J., Carrer, J. A. M., and Gong, L.(1998). “A linear θ method applied to 2D time-domain BEM.” Commun. Numer. Methods Eng., 14(12), 1171–1181.
Yu, G., Mansur, W. J., Carrer, J. A. M., and Gong, L.(2000). “Stability of Galerkin and collocation time domain boundary element methods as applied to the scalar wave equation.” Comput. Struct., 74, 495–506.
Zilliacus, S.(1983). “Fluid–structure interaction and ADINA.” Comput. Struct., 17(5–6), 763–773.
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Copyright © 2002 American Society of Civil Engineers.
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Received: May 10, 2000
Accepted: Sep 13, 2001
Published online: Aug 15, 2002
Published in print: Sep 2002
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