Time-domain solver in curvilinear coordinates for outdoor sound propagation over complex terrain

Journal of the Acoustical Society of America

Volumn 133, Issue 6, 2013, Pages 3751-3763

  Dragna, Didier ^a   Blanc Benon, Philippe ^a   Poisson, Franck ^b  

^a UNIVERSITÉ DE LYON   (France)

^b SNCF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CARTESIAN COORDINATE SYSTEM; CURVILINEAR COORDINATE; LINEARIZED EULER EQUATION; METEOROLOGICAL CONDITION; OUTDOOR SOUND PROPAGATION; PROPAGATION ENVIRONMENT; THREE DIMENSIONAL GEOMETRY; TWO-DIMENSIONAL GEOMETRY;

ACOUSTICS; BOUNDARY CONDITIONS; EULER EQUATIONS; TIME DOMAIN ANALYSIS;

ACOUSTIC WAVE PROPAGATION;

EID: 84878950283     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.4803863     Document Type: Article

References (43)

1. Attenborough, K. (2002). " Sound propagation close to the ground.," Annu. Rev. Fluid Mech. 34, 51-82. 10.1146/annurev.fluid.34. 081701.143541 (Pubitemid 35372018)
2. Berland, J., Bogey, C., and Bailly, C. (2006). " Low-dissipation and low-dispersion fourth-order Runge-Kutta algorithm.," Comput. Fluids 35, 1459-1463. 10.1016/j.compfluid.2005.04.003 (Pubitemid 44283521)
3. Berland, J., Bogey, C., Marsden, O., and Bailly, C. (2007). " High order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems.," J. Comp. Phys. 224, 637-662. 10.1016/j.jcp.2006. 10.017
4. Blairon, N., Blanc-Benon, P., Bérengier, M., and Juvé, D. (2002). " Outdoor sound propagation in complex environments: Experimental validation of a PE approach.," in Tenth Long Range Sound Propagation Symposium, Grenoble, France, pp. 114-128, http://ncpa.olemiss.edu/long-range- sound-propagation-lrsp/ (Last viewed 1/14/2013).
5. Blumrich, R., and Heimann, D. (2002). " A linearized Eulerian sound propagation model for studies of complex meteorological effects.," J. Acoust. Soc. Am. 112, 446-455. 10.1121/1.1485971 (Pubitemid 34863229)
6. Bogey, C., and Bailly, C. (2002). " Three-dimensional non-reflective boundary conditions for acoustic simulations: Far-field formulation and validation test cases.," Acta Acust. Acust. 88, 463-471. (Pubitemid 34974319)
7. Bogey, C., and Bailly, C. (2004). " A family of low dispersive and low dissipative explicit schemes for flow and noise computations.," J. Comp. Phys. 194, 194-214. 10.1016/j.jcp.2003.09.003 (Pubitemid 38184237)
8. Bogey, C., de Cacqueray, N., and Bailly, C. (2009). " A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations.," J. Comp. Phys. 228, 1447-1465. 10.1016/j.jcp.2008.10.042
9. Bogey, C., de Cacqueray, N., and Bailly, C. (2011). " Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations. " J. Comp. Phys. 230, 1134-1146. 10.1016/j.jcp.2010.10.031
10. Collins, M. D. (1990). " The rotated parabolic equation and the sloping ocean bottoms.," J. Acoust. Soc. Am. 87, 1035-1037. 10.1121/1.398829 (Pubitemid 20212674)
11. Cotté, B., Blanc-Benon, P., Bogey, C., and Poisson, F. (2009). " Time-domain impedance boundary conditions for simulations of outdoor sound propagation.," AIAA J. 47, 2391-2403. 10.2514/1.41252
12. Dragna, D., Cotté, B., Blanc-Benon, P., and Poisson, F. (2011). " Time-domain simulations of outdoor sound propagation with suitable impedance boundary conditions.," AIAA J. 49, 1420-1428. 10.2514/1.J050636
13. Guillaume, G., Picaut, J., Dutilleux, G., and Gauvreau, B. (2011). " Time-domain impedance formulation for transmission line matrix modeling of outdoor sound propagation.," J. Sound Vib. 330, 6467-6481. 10.1016/j.jsv.2011.08.004
14. Gradshteyn, I. S., and Ryzhik, I. M. (1980). Table of Integrals, Series, and Products, 4th ed. (Academic, New York), p. 979, item 8.531, formula 2, and p. 980, item 8.533, formula 1.
15. Heimann, D., and Karle, R. (2006). " A linearized Euler finite-difference time-domain sound propagation model with terrain-following coordinates.," J. Acoust. Soc. Am. 119, 3813-3821. 10.1121/1.2200139 (Pubitemid 43886357)
16. Hornikx, M., Waxler, R., and Forssén, J. (2010). " The extended Fourier pseudospectral time-domain method for atmospheric sound propagation.," J. Acous. Soc. Am. 128, 1632-1646. 10.1121/1.3474234
17. Jean, P. (1998). " A variational approach for the study of outdoor sound propagation and application to railway noise.," J. Sound Vib. 212, 275-294. 10.1006/jsvi.1997.1407 (Pubitemid 128389017)
18. Jensen, F. B., Kuperman, W. A., Porter, M. B., and Schmidt, H. (1994). Computational Ocean Acoustics (AIP, Melville, NY), pp. 352-357.
19. Kurbatskii, K. A., and Tam, C. K. W. (1997). " Cartesian boundary treatment of curved walls for high-order computational aeroacoustics schemes.," AIAA J. 35, 133-140. 10.2514/2.73
20. Lihoreau, B., Gauvreau, B., Bérengier, M., Blanc-Benon, P., and Calmet, I. (2006). " Outdoor sound propagation modeling in realistic environments: Application of coupled parabolic and atmospheric models.." J. Acoust. Soc. Am. 120, 110-119. 10.1121/1.2204455 (Pubitemid 44014152)
21. Luebbers, R. J., and Hunsberger, F. (1992). " FDTD for Nth-order dispersive media.," IEEE Trans. Antennas Propag. 40, 1297-1301. 10.1109/8.202707 (Pubitemid 23623346)
22. Marsden, O. (2005). " Calcul direct du rayonnement acoustique de profils par une approche curviligne d'ordre élevé" ("Direct noise computation of aerofoils by a high-order curvilinear approach")., Ph.D. thesis, École Centrale de Lyon, No. 2005-47.
23. Marsden, O., Bogey, C., and Bailly, C. (2005). " High-order curvilinear simulations of flows around non-Cartesian bodies.," J. Comp. Acoust. 13, 731-748. 10.1142/S0218396X05002906 (Pubitemid 43296686)
24. Mesbah, M., Meyers, J., and Baelmans, M. (2008). " Acoustic performance of nonreflecting boundary conditions for a range of incident angles.," J. Comp. Acoust. 16, 11-29. 10.1142/S0218396X08003427
25. Miki, Y. (1990). " Acoustical properties of porous materials-modifications of Delany-Bazley models.," J. Acoust. Soc. Jpn. 11, 19-24. 10.1250/ast.11.19
26. Mohseni, K., and Colonius, T. (2000). " Numerical treatment of polar coordinate singularities.," J. Comp. Phys. 157, 787-795. 10.1006/jcph.1999.6382
27. Ostashev, V. E., Collier, S. L., Wilson, D. K., Aldridge, D. F., Symons, N. P., and Marlin, D. (2007). " Padé approximation in time-domain boundary conditions of porous surfaces.." J. Acoust. Soc. Am. 122, 107-112. 10.1121/1.2743153 (Pubitemid 47365920)
28. Ostashev, V. E., Wilson, D. K., Liu, L., Aldridge, D. F., Symons, N. P., and Marlin, D. (2005). " Equations for finite-difference, time-domain simulation of sound propagation in moving inhomogeneous media and numerical implementation.," J. Acoust. Soc. Am. 117, 503-517. 10.1121/1.1841531 (Pubitemid 40223412)
29. Özyörük, Y., and Long, L. N. (1996). " A time-domain implementation of surface acoustic impedance condition with and without flow.," in Second AIAA/CEAS Aeroacoustics Conference, State College, PA, AIAA Paper No. 96-1663.
30. Parakkal, S., Gilbert, K. E., and Di, X. (2012). " Application of the Beilis-Tappert parabolic equation method to sound propagation over irregular terrain.," J. Acoust. Soc. Am. 131, 1039-1046. 10.1121/1.3676693
31. Parakkal, S., Gilbert, K. E., Di, X., and Bass, H. E. (2010). " A generalized polar coordinate method for sound propagation over large-scale irregular terrain.," J. Acoust. Soc. Am. 128, 2573-2580. 10.1121/1.3495941
32. Premat, E., and Gabillet, Y. (2000). " A new boundary-element method for predicting outdoor sound propagation and application to the case of a sound barrier in the presence of downward refraction.," J. Acoust. Soc. Am. 108, 2775-2783. 10.1121/1.1290512
33. Reymen, Y., Baelmans, M., and Desmet, W. (2006). " Time-Domain Impedance Formulation based on Recursive Convolution.," in Twelfth AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, AIAA Paper No. 2006-2685.
34. Rienstra, S. W. (1988). " 1-D reflection at an impedance wall.," J. Sound Vib. 125, 43-51. 10.1016/0022-460X(88)90413-0
35. Sack, R. A., and West, M. (1995). " A parabolic equation for sound propagation in two dimensions over any smooth terrain profile: The generalized terrain parabolic equation (GT-PE).," Appl. Acoust. 45, 113-129. 10.1016/0003-682X(94)00039-X
36. Salomons, E. (2001). Computational Atmospheric Acoustics (Kluwer Academic Publishers, Dordrecht), pp. 30 and 53-56.
37. Salomons, E. M., Blumrich, R., and Heimann, D. (2002). " Eulerian time-domain model for sound propagation over a finite-impedance ground surface. Comparison with frequency-domain models.," Acta Acust. Acust. 88, 483-492. (Pubitemid 34974321)
38. Tam, C. K. W., and Dong, Z. (1996). " Radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances in a nonuniform mean flow.," J. Comp. Acoust. 4, 175-201. 10.1142/ S0218396X96000040
39. Tam, C. K. W., and Hardin, J. C. (1997). Second Computational AeroAcoustics (CAA) Workshop on Benchmark Problems, Publication No. 3352, Icase/NASA. (National Aeronautics and Space Administration Conference), pp. 1-14.
40. Van Renterghem, T., and Botteldooren, D. (2003). " Numerical simulation of the effect of trees on downwind noise barrier performance.," Acta Acust. Acust. 89, 764-778.
41. Vinokur, M., and Yee, H. C. (2000). " Extension of efficient low dissipation high-order schemes for 3-D curvilinear moving grids.," NASA Technical Report TM 2000-209598 (National Aeronautics and Space Administration, Washington, DC).
42. Visbal, M. R., and Gaitonde, D. V. (2002). " On the use of higher-order finite-difference schemes on curvilinear and deforming meshes.," J. Comp. Phys. 181, 155-185. 10.1006/jcph.2002.7117
43. Wilson, D. K., Ostashev, V. E., Collier, S. L., Symons, N. P., Aldridge, D. F., and Marlin, D. H. (2007). " Time-domain calculations of sound interactions with outdoor ground surfaces.," Appl. Acoust. 68, 173-200. 10.1016/j.apacoust.2005.10.004 (Pubitemid 44895321)