Acoustical radiation and scattering above an impedance plane

Computational Acoustics of Noise Propagation in Fluids -Finite and Boundary Element Methods

Volumn , Issue , 2008, Pages 459-494

  Ochmann, Martin ^a   Brick, Haike ^a  

^a UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79959409277     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-77448-8_18     Document Type: Chapter

References (46)

1. Abramowitz M, Stegun IA, editors. (1972) Handbook of mathematical functions. Dover Publications, New York
2. Amini S, Harris PJ, Wilton DT (eds) (1992) Coupled boundary and finite element methods for the solution of the dynamic fluid-structure interaction problem. Springer-Verlag, Berlin-Heidelberg-New York
3. Attenborough K (2002) Sound propagation close to the ground. Annual Review of Fluid Mechanics 34:51-82
4. Brick H, Ochmann M (2003) Eine BEM-Toolbox zur Berechnung der Schallabstrahlung schwingender Strukturen vor Hindernissen und über absorbierendem Boden (A BEM toolbox for calculation of sound radiation from vibrating structures in front of barriers and above absorbing ground). In: Deutsche Gesellschaft für Akustik (ed) Fortschritte der Akustik-DAGA'2003, Aachen, 542-543
5. Colton D, Kress R (1983) Integral equations in scattering theory. Wiley-Interscience Publication, New York
6. Davies B (2002) Integral transforms and their applications. Springer-Verlag, Berlin-Heidelberg-New York, 3rd edition
7. Deschamps GA (1971) Gaussian beams as a bundle of complex rays. Electronics Letters 7:684-685
8. Deuflhard P, Hohmann A (1993) Numerische Mathematik I-Eine algorithmisch orientierte Einführung. Chapter 9.7. 343-351, de Gruyter, Berlin-New York
9. Deuflhard P, Hohmann A (Okt. 2004) Numerical analysis and modelling-CodeLib. http://www.zib.de/Numerik/numsoft/CodeLib/misc.en.html
10. Embleton TFW (1996) Tutorial on sound propagation outdoors. Journal of the Acoustical Society of America 100:31-48
11. Erdélyi A (ed) (1954) Tables of integral transforms, Vol I. McGraw-Hill Book Company, New York
12. Estorff O von (ed) (2000) Boundary elements in acoustics: Advances and applications. WIT Press, Southampton-Boston
13. Fawcett JA (2000) Complex-image approximations to the half-space acousto-elastic Green's function. Journal of the Acoustical Society of America 108:2791-2795
14. Fawcett JA (2003) A method of images for a penetrable acoustic waveguide. Journal of the Acoustical Society of America 113:194-204
15. Felsen LB (1976) Complex-source-point-solutions of the field equations and their relation to the propagation and scattering of Gaussian beams. In: Instituto Nazionale di Alta Matematica (ed) Symposia Matematica. Academic Press, New York, 18:40-56
16. Felsen LB (1976) Evanescent waves. Journal of the Optical Society of America A 66:751-760
17. Habault D, Filippi PJT (1987) Ground effect analysis: Surface wave and layer potential representations. Journal of Sound and Vibration 79:529-550
18. Heyman E, Felsen LB (1989) Complex-source pulsed-beam fields. Journal of the Optical Society of America A 6:806-817
19. Kaiser G (2000) Complex-distance potential theory and hyperbolic equations. In: Ryan J, Sprößig W. (ed) Clifford Algebras and Their Applications in Mathematical Physics, Vol. 2: Clifford Analysis. Birkhäuser, Boston
20. Koopmann GH, Benner H (1982) Method for computing the sound power of machines based on the Helmholtz integral. Journal of the Acoustical Society of America 71:78-89
21. Krylov VI (1962) Approximate calculation of integrals. The Macmillan Company, New Yo r k
22. Li WL, Wu TW, Seybert AF (1994) A half-space boundary element method for acoustic problems with a reflecting plane of arbitrary impedance. Journal of Sound and Vibration 171:173-184
23. Li YL, White MJ (1996) Near-field computation for sound propagation above ground-using complex image theory. Journal of the Acoustical Society of America 99:755-760
24. Li YL, White MJ, Hwang MH (1994) Green's functions for wave propagation above an impedance ground. Journal of the Acoustical Society of America 96:2485-2790
25. Lindell IV, Alanen E (1984) Exact image theory for the Sommerfeld half-space problem. IEEE Transactions on Antennas and Propagation. Part I: Vertical magnetic dipole 32:126-133; Part II: Vertical electric dipole 32:841-847; Part III: General formulation 32:1027-1032
26. Magnus W, Oberhettinger F, Soni RP (1966) Formulas and theorems for the special functions of Mathematical Physics. Chapter 3.6.2. Springer-Verlag, Berlin-Heidelberg-New Yo r k
27. Mechel FP (1989) Schallabsorber. Vol 1, Chapter 13, Hirzel-Verlag, Stuttgard
28. Mechel FP (ed) (2002) Formulas of acoustics. Springer-Verlag, Berlin-Heidelberg-New Yo r k
29. Nobile MA, Hayek SI (1985) Acoustic propagation over an impedance plane. Journal of the Acoustical Society of America 78:1325-1336
30. Ochmann M (1995) The source simulation technique for acoustic radiation problems. Acustica 81:512-527
31. Ochmann M (1999) The full-field equations for acoustic radiation and scattering. Journal of the Acoustical Society of America 105:2574-2584
32. Ochmann M (2004) The complex equivalent source method for sound propagation over an impedance plane. Journal of the Acoustical Society of America 116:3304-3311
33. Ochmann M (2005) Complex source point method for computing the Green's function over an arbitrary impedance plane. In: Proceedings of the NOVEM 2005 (Noise and Vibration Emerging Methods), St. Raphael (USB)
34. Ochmann M, Osetrov AV (2002) Construction of analytical solutions for the error estimation of acoustical boundary element solvers. In: Proceedings of the Forum Acusticum, Sevilla, Spain, 1000-1004
35. Ochmann M, Piscoya R (2006) The source simulation technique with complex source points for computing acoustic radiation problems. In: Proceedings of the 13th International Congress on Sound and Vibration (ICSV13), Wien
36. Osetrov AV, Ochmann M (2005) A fast and stable numerical solution for acoustic boundary element method equations combined with the Burton and Miller method for models consisting of constant elements. Journal of Computational Acoustics 13:1-20
37. Raspet R, Baird GE (1989) The acoustic surface wave above a complex impedance ground. Journal of the Acoustical Society of America 85:638-640
38. Schenck HA (1968) Improved integral formulation for acoustic radiation problems. Journal of the Acoustical Society of America 44:41-58
39. Seybert AF, Soenarko B (1988) Radiation and scattering of acoustic waves from bodies of arbitrary shape in a three-dimensional half space. Transaction of the ASME, Journal of Vibration, Stress and Reliability in Design 110:112-117
40. Seybert AF, Soenarko B, Rizzo FJ, Shippy DJ (1985) An advanced computational method for radiation and scattering of acoustic waves in three dimensions. Journal of the Acoustical Society of America 77:362-368
41. Shao TS, Chena TC, Frank RM (1964) Tables of zeros and Gaussian weights of certain associated Laguerre polynomals and the related generalized hermite polynomals. Mathematics of Computation 18:598-616
42. Sommerfeld A (1909) Ü ber die Ausbreitung der Wellen in der drahtlosen Telegraphie (The propagation of waves in wireless telegraphy). Annalen der Physik 28:665-736
43. Sommerfeld A (1926) Ü ber die Ausbreitung der Wellen in der drahtlosen Telegraphie (The propagation of waves in wireless telegraphy). Annalen der Physik 81:1135-1153
44. Sommerfeld A (1978) Partielle Differentialgleichungen der Physik (Partial differential equations in physics). Harri Deutsch, Thun-Frankfurt/Main
45. Wu TW (ed) (2000) Boundary element acoustics: Fundamentals and computer codes. WIT Press, Southampton-Boston
46. Ziolkowski RW (1985) Exact solutions of the wave equation with complex source locations. Journal of Mathematical Physics 26:861-863