Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part II. Formulation in the time domain

Journal of the Acoustical Society of America

Volumn 103, Issue 1, 1998, Pages 64-72

  Astley, R J ^a   Coyette, J P ^a   Cremers, L ^a  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC TECHNIQUES; RADIATION; SCATTERING; TIME DOMAIN; WAVE ENVELOPE;

ACCELERATION; ACOUSTICS; ALGORITHM; ANALYTIC METHOD; ARTICLE; COMPUTER SYSTEM; FINITE ELEMENT ANALYSIS; FOURIER TRANSFORMATION; GEOMETRY; PRIORITY JOURNAL; SOUND PRESSURE; SOUND TRANSMISSION; TIME;

EID: 0031982767     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.421107     Document Type: Article

References (26)

1. R. J. Astley, G. J. Macaulay, J. P. Coyette, and L. Cremers, "Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain," J. Acoust. Soc. Am. 103, 49-63 (1998).
2. D. Givoli, Numerical Methods for Problems in Infinite Domains (Elsevier Science, Amsterdam, 1992).
3. P. Bettess, Infinite Elements (Penshaw, Sunderland, 1992).
4. R. D. Ciscowski and C. A. Brebbia (Eds.), Boundary Element Methods in Acoustics (Computational Mechanics Publications & Elsevier Applied Science, Southampton, 1991).
5. J. L. Dohner, R. Shoureski, and R. J. Bernhard, "Transient analysis of three dimensional wave propagation using the boundary element method," Int. J. Numer. Methods Eng. 24, 621-634 (1987).
6. A. S. M. Israil and P. K. Banerjee, "Advanced development of time-domain BEM for two-dimensional scalar wave propagation," Int. J. Numer. Methods Eng. 29, 1003-1020 (1990).
7. T. L. Geers, "Doubly asymptotic approximations for transient motions of submerged structures," J. Acoust. Soc. Am. 64, 1500-1508 (1978).
8. T. L. Geers and C. A. Felippa, "Doubly asymptotic approximations for vibration analysis of submerged structures," J. Acoust. Soc. Am. 73, 1152-1159 (1983).
9. T. L. Geers and P. Zhang, "Doubly asymptotic approximations for submerged structures with internal fluid volumes: Formulation and evaluation," J. Appl. Mech. 61, 893-906 (1994).
10. B. Engquist and A. Madja, "Radiation boundary conditions for acoustic and elastic waves," Commun. Pure Appl. Math. 32, 313-357 (1979).
11. A. Bayliss and E. Turkel, "Radiation boundary conditions for wavelike equations," Commun. Pure Appl. Math. 33, 707-725 (1980).
12. A. Bayliss, M. Gunzberger, and E. Turkel, "Boundary conditions for the numerical solution of elliptic equations in exterior regions," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 42, 430-450 (1982).
13. P. M. Pinsky, L. L. Thompson, and N. N. Abboud, "Local high-order radiation boundary conditions for the two-dimensional time-dependent structural acoustics problem," J. Acoust. Soc. Am. 91, 1320-1335 (1992).
14. L. F. Kallivokas, J. Bielak, and R. C. Macamy, "Symmetric local absorbing boundaries in time and space," J. Eng. Mech. 117, 2027-2048 (1991).
15. L. L. Thompson and P. M. Pinsky, "A space-time finite element method for the exterior structural acoustics problem: time dependent radiation boundary conditions in two dimensions," Int. J. Numer. Methods Eng. 39, 1635-1657 (1996).
16. D. Givoli, "A spatially exact nonreflecting boundary condition for time dependent problems," Comput. Methods Appl. Mech. Eng. 95, 97-113 (1992).
17. L. G. Olson and K. J. Bathe, "An infinite element for the analysis of fluid-structure interaction," Eng. Comput. 2, 319-329 (1985).
18. D. S. Burnett, "A three dimensional acoustic infinite element based on a prolate spheroidal multipole expansion," J. Acoust. Soc. Am. 96, 2798-2816 (1994).
19. J. L. Cipolla, "Transient infinite elements for acoustics and shock," in DE-Vol 84-2, 1995 Design Engineering Technical Conferences, Volume 3-part B, 113-127, ASME (1995).
20. R. J. Astley, G. J. Macaulay, and J. P. Coyette, "Mapped wave envelope elements for acoustic radiation and scattering," J. Sound Vib. 170, 97-118 (1994).
21. L. Cremers and K. R. Fyfe, "On the use of a variable order infinite wave envelope element for acoustic radiation and scattering," J. Acoust. Soc. Am. 97, 2028-2040 (1995).
22. R. D. Cook, Concepts and Applications of Finite Element Analysis (Wiley, New York, 1981), Chap. 11.
23. C. H. Wilcox, "An expansion theorem for electromagnetic fields," Commun. Pure Appl. Math. 9, 115-134 (1956).
24. SYSNOISE REFERENCE MANUAL, version 5.3 (LMS Numerical Technologies, Leuven, 1996).
25. K. J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis (Prentice-Hall, Englewood Cliffs, 1976), Chap. 9.
26. E. Andersen et al., LAPACK User's Guide (SIAM, Philadelphia, 1995), 2nd ed.