Single and multiple reflections in plane obstacle using the parabolic equation method with a complementary Kirchhoff approximation

Acta Acustica united with Acustica

Volumn 93, Issue 1, 2007, Pages 22-30

  Aballéa, François Edern ^a   Defrance, Jérôme ^b  

^a EPFL   (Switzerland)

^b Centre Scientifique et Technique du Bâtiment ^*  (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; BACKSCATTERING; BOUNDARY ELEMENT METHOD; COLLISION AVOIDANCE; DIFFERENTIAL EQUATIONS; SIGNAL RECEIVERS;

GREEN'S FUNCTION PARABOLIC EQUATION METHOD; KIRCHHOFF APPROXIMATION; PARABOLIC EQUATION (PE);

REFLECTION;

EID: 33847159242     PISSN: 16101928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (43)

1. J. Defrance, Y. Gabillet: A new analytical method for the calculation of outdoor noise propagation. Applied Acoustics 57 (1999) 109-127.
2. M. C. Berengier, B. Gauvreau, P. Blanc-Benon, D. Juve: Outdoor sound propagation: A short review on analytical and numerical approaches. Acta Acustica united with Acustica 89 (2003) 980-991.
3. D. Heimann, G. Gross: Coupled simulation of meteorological parameters and sound level in a narrow valley. Applied Acoustics 56 (1999) 73-100.
4. M. West, Y. Lam: Prediction of sound fields in the presence of terrain features which produce a range dependant meteorology using the generalised terrain parabolic equation (GT-PE) model. Internoise, Nice, France, 2000.
5. D. K. Wilson, J. Noble: Putting meteorology into outdoor sound propagation calculations. Interaoise, Nice, France, 2000.
6. S. J. Franke, G. W. Swenson: A brief tutorial on the fast field program (FFP) as applied to sound propagation in the air. Applied Acoustics 27 (1989) 203-215.
7. Y. L. Li, M. J. White, S. J. Franke: New fast field programs for anisotropic sound propagation through an atmosphere with a wind velocity profile. J. Acoust. Soc. Am. 95 (1994) 718-726.
8. R. Raspet, S. W. Lee, E. Kuester, D. C. Chang, W. F. Richards, R. Gilbert, N. Bong: A fast-field program for sound propagation in a layered atmosphere above an impedance ground. J. Acoust. Soc. Am. 77 (1985) 345-352.
9. C. F. Chien, W. W. Soroka: Sound propagation along an impedance plane. Journal of Sound and Vibration 43 (1975) 9-20.
10. A. L'Esperance, P. Herzog, G. A. Daigle, J. Nicolas: Heuristic model for outdoor sound propagation based on an extension of the geometrical ray theory in the case of a linear sound speed profile. Applied Acoustics 37 (1992) 111-139.
11. F. B. Jensen, W. A. Kuperman, M. B. Porter, H. Schmidt: Computational ocean acoustics. AIP Press ed. 2000, Springer-Verlag, New-York, 2000.
12. E. M. Salomons: Computational atmospheric acoustics. Kluwer Academic, 2001.
13. V. Cerveny, M. M. Popov, I. Psencik: Computation of wave fields in homogeneous media. Gaussian beam approach. Geophys. J. R. Astr. Soc. 70 (1982) 109-128.
14. M. B. Porter, H. P. Bucker: Gaussian beam tracing for computing ocean acoustic fields. J. Acoust. Soc. Am. 82 (1987) 1349-1359.
15. Y. Gabillet, H. Schroeder, G. A. Daigle, A. L'Esperance: Application of the Gaussian beam approach to sound propagation in the atmosphere: Theory and experiments. J. Acoust. Soc. Am. 93 (1993) 3105-3116.
16. R. Blumrich, D. Heimann: A linearized Eulerian sound propagation model for studies of complex meteorological effects. J. Acoust. Soc. Am. 112 (2002) 446-455.
17. F. D. Tappert: The parabolic approximation method. - In: Wave propagation and underwater acoustics. J. B. Keller. J. S. Papadakis (eds.). Springer, New York, 1977, 224-287.
18. K. E. Gilbert, M. J. White: Application of the parabolic equation to sound propagation in refracting atmosphere. J. Acoust. Soc. Am. 85 (1989) 630-637.
19. M. West, K. E. Gilbert, R. A. Sack: A tutorial on the parabolic equation (PE) model used for long range sound propagation in the atmosphere. Applied Acoustics 37 (1992) 31-19.
20. K. Attenborough, S. Taherzadeh, H. E. Bass, R. Raspet, G. R. Becker, A. Gudesen, A. Chrestman, G. A. Daigle, A. L'Esperance, Y. Gabillet, Y. Gabillet, Y. L. Li, M. J. White, P. Naz, J. M. Noble, H. A. J. M. van Hoof: Benchmark cases for outdoor sound propagation models. J. Acoust. Soc. Am. 97 (1995) 173-191.
21. M. Galindo, M. R. Stinson, G. A. Daigle: Comparaison of some methods used for prediction of atmospheric sound propagation. Canadian Acoustics 25 (1997) 3-11.
22. H. M. McDonald: Diffraction at a straignt edge. Proceed. London Math. Soc. 2(1915) 103-105.
23. A. D. Pierce: Diffraction of sound around corners and over wide barriers. J. Acoust. Soc. Am. 55 (1974) 941-955.
24. M. Buret, K. M. Li: Diffraction of sound from a dipole source near to a barrier or an impedance discontinuity. J. Acoust. Soc. Am. 113 (2003) 2480-2494.
25. P. J. T. Filippi: Theoretical and numerical study of diffraction by a thin screen (in French). Acustica 21 (1969) 343-350.
26. B. A. De Jong, E. Stusnick: Scale model studies of the effects of wind on acoustics barrier performance. Noise Control Eng. J. 6 (1976) 101-109.
27. E. M. Salomons: Rediction of the performance of a noise screen due to screen-induced wind-speed gradients. Numerical computations and wind-tunnel experiments. J. Acoust. Soc. Am. 105 (1999) 2287-2293.
28. M. D. Collins, R. B. Evans: A two-way parabolic equation for acoustic backscattering in the ocean. J. Acoust. Soc. Am. 91 (1992) 1357-1368.
29. M. West, Y. Lam: A two-way vertical interface parabolic equation (tv-pe) model for atmospheric propagation in the presence of severe terrain features. 9th International Symposium on Long Range Sound Propagation, Amsterdam, Netherlands, 2000.
30. K. E. Gilbert, X. Di: A fast Green's function method for one-way sound propagation in the atmosphere. J. Acoust. Soc. Am. 94 (1993) 2343-2352.
31. X. Di, K. E. Gilbert: Application of a fast Green's function method to long range sound propagation in the atmosphere. 5th International Sympsium on Long Range Sound Propagation, 1992.
32. E. M. Salomons: Improve Green's function parabolic equation method for atmospheric sound propagation. J. Acoust. Soc. Am. 104 (1998) 100-111.
33. N. Barriere, Y. Gabillet: Sound propagation over a barrier with realistic wind gradients. Comparaison on wind tunnel experiment with GFPE computation. Acustica united with Acta Acustica 85 (1999) 325-334.
34. F.-E. Aballea: Outdoor sound propagation: Application of the fast parabolic equation to meteorological effects and complex topographies (in French). Thesis, Université du Maine, Le Mans, France, 2004.
35. F. Aballea, J. Defrance: Simple and multi-reflections using the PE method with a complementary Kirchhoff approximation. 7ème Congrès Français d'Acoustique, Strasbourg, France, 2004.
36. E. M. Salomons: Diffraction by a screen in downwind sound propagation: A parabolic-equation approach. J. Acoust. Soc. Am. 95 (1994) 3109-3117.
37. M. E. Delany, E. N. Bazley: Acoustical properties of fibrous absorbent materials. Applied Acoustics 3 (1970) 105-116.
38. P. Jean: A variational approach for the study of outdoor sound propagation and application to railway noise. Journal of Sound and Vibration 212 (1998) 275-294.
39. K. M. Li, Q. Wang: A BEM approach to assess the acoustic performance of noise barriers in a refracting atmosphere. Journal of Sound and Vibration 211 (1998) 663-681.
40. EN 1793-3:1997, Road traffic noise reducing devices - Test method for determining the acoustic performance - Part 3: Normalized traffic noise spectrum.
41. EN 1793-3:1997, Road traffic noise reducing devices - Test method for determining the acoustic performance - Part 3. Normalized traffic noise spectrum.
42. M. D. Collins: A split-step Padé approximation solution for the parabolic equation method. J. Acoust. Soc. Am. 93 (1993) 1736-1742.
43. D. J. Thomson, N. R. Chapman: A wide-angle split-step algorithm for the parabolic equations. J. Acoust. Soc. Am. 74 (1983) 1848-1854.