Acoustic scattering by a hard or soft body across a wide frequency range by the Helmholtz integral equation method

Journal of the Acoustical Society of America

Volumn 102, Issue 5 I, 1997, Pages 2511-2520

  Yang, Shih An ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; MATHEMATICAL MODEL; OSCILLATION; PRIORITY JOURNAL; RADIATION SCATTERING; SOUND PRESSURE; SOUND TRANSMISSION; VELOCITY;

EID: 0030686476     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.420305     Document Type: Article

References (29)

1. H. A. Schenck, "Improved integral formulation for acoustic radiation problems," J. Acoust. Soc. Am. 44, 41-58 (1968).
2. D. T. Wilton, "Acoustic radiation and scattering from elastic structures," Int. J. Numer. Methods Eng. 13, 128-138 (1978).
3. W. Tobocman, "Calculations of acoustic wave scattering by means of the Helmholtz integral equation I," J. Acoust. Soc. Am. 76, 599-607 (1984).
4. W. Tobocman, "Extension of the Helmholtz integral equation method to shorter wavelengths," J. Acoust. Soc. Am. 80, 1828-1837 (1986).
5. A. F. Seybert, B. Soenarko, F. J. Rizzo, and D. J. Shippy, "An advanced computational method for radiation and scattering for acoustic waves in three dimensions," J. Acoust. Soc. Am. 77, 362-368 (1985).
6. A. F. Seybert, B. Soenarko, F. J. Rizzo, and D. J. Shippy, "A special integral equation formulation for acoustic radiation and scattering for axi-symmetric bodies and boundary conditions," J. Acoust. Soc. Am. 80, 1241-1247 (1986).
7. A. F. Seybert and T. K. Rengarajan, "The use of CHIEF to obtain unique solutions for acoustic radiation using boundary integral equations," J. Acoust. Soc. Am. 80, 1299-1306 (1987).
8. A. J. Burton and G. F. Miller, "The application of integral equation methods to the numerical solution of some exterior boundary value problems," Proc. R. Soc. London, Ser. A 323, 201-210 (1971).
9. W. S. Hall and W. H. Robertson, "Standard Helmholtz integral equation calculations near characteristic frequencies," J. Sound Vib. 126, 367-368 (1988).
10. A. F. Seybert, "A note on methods for circumventing nonuniqueness when using integral equations," J. Sound Vib. 115, 171-172 (1987).
11. Z. Reut, "On the boundary integral methods for the exterior acoustic problem," J. Sound Vib. 103, 297-298 (1985).
12. David T. I. Francis, "A gradient formulation of the Helmholtz integral equation for acoustic radiation and scattering," J. Acoust. Soc. Am. 93, 1700-1709 (1993).
13. W. L. Meyer, W. A. Bell, B. T. Zinn, and M. P. Stallybrass, "Boundary integral solutions of three dimensional acoustic radiation problems," J. Sound Vib. 59, 245-262 (1978).
14. I. C. Mathews, "Numerical techniques for three-dimensional steady-state fluid-structure interaction," J. Acoust. Soc. Am. 79, 1317-1325 (1986).
15. G. Krishnasamy, L. W. Schmerr, T. J. Rudolphi, and F. J. Rizzo, "Hypersingular boundary integral equations: Some applications into acoustic and elastic wave scattering," J. Appl. Mech. 57, 404-414 (1990).
16. Yijun Liu and F. J. Rizzo, "A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems," Comput. Methods Appl. Mech. Eng. 96, 271-287 (1992).
17. C. C. Chien, H. Rajiyah, and S. N. Atluri, "An effective method for solving the hypersingular integral equations in 3-D acoustics," J. Acoust. Soc. Am. 88, 918-937 (1990).
18. W. S. Hwang, "Hypersingular boundary integral equation for acoustic problems," J. Acoust. Soc. Am. 101, 3336-3342 (1997).
19. R. Leis, "Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung," Math. Z. 90, 205-211 (1965).
20. O. I. Panich, "On the question of the solvability of the exterior boundary problem for the wave equation and Maxwell's equation (in Russian)," Usp. Mat. Nauk. 20, 221-226 (1965).
21. H. Brakhage and P. Werner, "Über das Dirichletsche Aussenraumproblem für die helmholtzsche Schwingungsgleichung," Arch. Math. 16, 325-329 (1965).
22. A. J. Burton, "The solution of Helmholtz equation in exterior domains using integral equations," NPL Report NAC 30, National Physical Laboratory, January (1973).
23. W. Tobocman, "Extension of the Helmholtz integral equation method to shorter wavelengths II," J. Acoust. Soc. Am. 82, 704-706 (1987).
24. L. N. G. Filon, "On a quadrature formula for trigonometric integrals," Proc. R. Soc. Edinburgh 49, 38-47 (1928).
25. Y. L. Luke, "On the computation of oscillatory integrals," Proc. Camb. Philos. Soc. 50, 269-277 (1954).
26. A. M. O. Smith, "Numerical integration of oscillating functions having a nonlinear argument," Aircraft Division, Douglas Aircraft Company, Long Beach, California, Engineering Paper 3373 (1967).
27. H.-T. Shen and C. Farell, "Numerical calculation of the wave integrals in the linearized theory of water waves," J. Ship Res. 21, 1-10 (1977).
28. J. C. Lachat and J. O. Watson, "Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics," Int. J. Numer. Methods Eng. 10, 991-1005 (1976).
29. L. Landweber and M. Macagno, "Irrotational flow about ship forms," IIHR Report No. 123, Iowa Institute of Hydraulic Research, The University of Iowa (1969).