Stabilizing the retarded potential method for transient fluid-structure interaction problems

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 20, 1997, Pages 3767-3783

  Dyka, C T ^a   Ingel, R P ^b   Kirby, G C ^b  

^a SCIENCE APPLICATIONS INTERNATIONAL CORPORATION   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Acoustic fluid; Boundary element; Fluid structure; Retarded potential; Stability; Transient

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SOFTWARE; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; DIGITAL SIGNAL PROCESSING; FLUID STRUCTURE INTERACTION; FLUIDS; NOISE ABATEMENT; NUMERICAL METHODS; SHOCK WAVES; SPEED; SPHERES;

ACOUSTIC FLUID; DELAY EQUATIONS; FIGUEIREDO METHOD; RETARDED POTENTIAL METHOD;

BOUNDARY ELEMENT METHOD;

BOUNDARY ELEMENT METHOD; INTERACTION;

BOUNDARY ELEMENT METHOD; FLOW MODELLING; FLUID-STRUCTURE INTERACTION;

EID: 0031253258     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19971030)40:20<3767::AID-NME238>3.0.CO;2-4     Document Type: Article

References (22)

1. K. C. Park and C. A. Felippa, 'Partitioned analysis of coupled systems', in T. Belytschko and T. J. R. Hughes (eds), Computational Methods for Transient Analysis, North-Holland, Amsterdam, pp. 1983, 158-219.
2. P. M. Pinsky, L. L. Thompson and N. N. Abboud, 'Local high order radiation boundary conditions for two-dimensional time-dependent structural acoustics problems', J. Acoust. Soc. Am. 91, 1992.
3. M. Grote and J. Keller, 'On nonreflecting boundary conditions', J. Comput. Phys. 122, 231-243 (1995).
4. R. J. Astley, 'A transient infinite element for multidimensional acoustic radiation', in Acoustics of Submerged Structures and Transducer Systems, Proc. 15th Biennial Conf. on Mechanical Vibration and Noise, Boston, MA, September 1995.
5. J. Cipolla, Transient infinite elements for acoustics and shock', in Acoustics of Submerged Structures and Transducer Systems, Proc. 15th Biennial Conf. on Mechanical Vibration and Noise, Boston, MA, September 1995.
6. J. P. Wolf, 'Consistent lumped-parameter models for unbounded soil: physical representation', Earthquake Engng. Struct. Dyn. 20, 11-32 (1991).
7. C. A. Brebbia, J. C. F. Telles and L. C. Wrobel, Boundary Element Techniques Theory and Applications in Engineering, Springer, New York, 1983.
8. T. L. Geers, 'Residual potential and approximation methods for three dimensional fluid-structure interaction problems', J. Acoust. Soc. Am., 49, 1505-1510 (1971).
9. T. L. Geers, 'Doubly asympotic approximation for transient motions of submerged structures', J. Acoust. Soc. Am. 64, 1500-1508 (1978).
10. C. A. Felippa, Top-down derivation of doubly asmptotic approximations for fluid-structure interaction analysis', in R. P. Shaw (ed.), Innovative Numerical Analysis for the Applied Engineering Sciences, University of Virginia Press, VA, pp. 1980, 79-88.
11. K. M. Mitzner, 'Numerical solution for transient scattering from a hard surface - retarded potential technique', J. Acoust. Soc. Am., 42, 391-397 (1967).
12. H. Huang, G. C. Everstine and W. F. Wang, Retarded potential techniques for the analysis of submerged structures impinged by weak shock waves, in T. Belytschko and T. L. Geers (eds), Computational Methods for Fluid-Structure Interaction Problems, AMD Vol. 26. ASME, New York, 1977, pp. 83-93.
13. P. H. L. Groenenboom, Solution of the retarded potential problem and numerical stability, in C. A. Brebbia (ed.), Boundary Element 6, Springer, New York, 1984.
14. A. M. Figueiredo, S. R. Sipcic and L. Morino, 'Kirchoff integral equation: instability issues introduced by the spacial discretization', Proc. 14th Aero-Acoustic Conf., Aachen, Germany, 1992, pp. 39-45.
15. A. M. Figueiredo, 'Differential-delay equations of advanced type and discretization of Kirchoff's integral equation, Ph.D. Dissertation, Aerospace and Mechanical Engineering Department, Boston University, Boston, MA, 1992.
16. 'ABAQUS User's and Theory Manuals, version 5.4', Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI, 1995.
17. M. A. Tamm and W. W. Webbon, 'Submerged structural response to weak shock by coupled three dimensional retarded potential fluid - finite element structural analysis', Naval Research Laboratory, Memorandum Report 5903, Washington, DC, 1987.
18. L. D. Flippen, 'Derivation of the Figueiredo modification to the retarded potential equation', Naval Research Laboratory, Washington, DC, 1995, Private Communication.
19. M. A. Tamm, "Stabilization of the coupled retarded potential - finite element procedure for submerged structural analysis', Naval Research Laboratory, Memorandum Report 5902, Washington, DC, 1986.
20. A. V. Oppenheim, A. S. Willsky and I. T. Young, Signals and Systems, Prentice-Hall, Englewood Cliffs, NJ, 1983.
21. P. A. Lynn and W. Fuerst, Introductory Digital Signal Processing with Computer Applications, revised edn, Wiley, New York, 1994.
22. H. Huang, Transient interaction of plane acoustic waves with a spherical elastic shell', J. Acoust. Soc. Am. 45, 661-670 (1969).