Time-domain impedance boundary conditions for simulations of outdoor sound propagation

AIAA Journal

Volumn 47, Issue 10, 2009, Pages 2391-2403

  Cotte, Benjamin ^a,c   Blanc Benon, Philippe ^a,c   Bogey, Christophe ^a,c   Poisson, Franck ^b,d  

^a ECOLE CENTRALE DE LYON   (France)

^b SNCF   (France)

^c LABORATOIRE DE MÉCANIQUE DES FLUIDES ET D ACOUSTIQUE   (France)

^d Direction de l'Innovation et de la Recherche   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE NUMERICAL RESULTS; ANALYTICAL SOLUTIONS; COMPUTATIONALLY EFFICIENT; DISCRETE CONVOLUTION; FREQUENCY DOMAINS; IMPEDANCE BOUNDARY CONDITIONS; IMPEDANCE MODELS; LINEARIZED EULER EQUATION; OPTIMIZATION METHOD; OUTDOOR SOUND PROPAGATION; RECURSIVE CONVOLUTION; SOUND PROPAGATION; TEMPLATE FUNCTIONS; THREE DIMENSIONAL GEOMETRY; TIME DOMAIN; TIME-DOMAIN IMPEDANCE; TRANSPORTATION NOISE;

ACOUSTIC WAVE PROPAGATION; BOUNDARY CONDITIONS; CONSTRAINED OPTIMIZATION; CONVOLUTION; EULER EQUATIONS; FREQUENCY DOMAIN ANALYSIS; METHOD OF MOMENTS; NUMERICAL METHODS; SIMULATORS; THREE DIMENSIONAL;

TIME DOMAIN ANALYSIS;

EID: 72749100950     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.41252     Document Type: Article

References (38)

1. Salomons, E., Blumrich, R., and Heimann, D., "Eulerian Time-Domain Model for Sound Propagation Over a Finite-Impedance Ground Surface. Comparison with Frequency-Domain Models," Acta Acustica United with Acustica, Vol.88, No.4, 2002, pp. 483-492.
2. Wilson, D., Collier, S., Ostashev, V., Aldridge, D., Symons, N., and Marlin, D., "Time-Domain Modeling of the Acoustic Impedance of Porous Surface," Acta Acustica United with Acustica, Vol.92, No.6, 2006, pp. 965-975.
3. Zwikker, C., andKosten, C., Sound Absorbing Materials, Elsevier, New York, 1949.
4. Delany, M., and Bazley, E., "Acoustical Properties of Fibrous Absorbent Materials," Applied Acoustics, Vol.3, No.2, 1970, pp. 105-116. doi:10.1016/0003-682X(70)90031-9
5. Attenborough, K., "On the Acoustic SlowWave in Air-Filled Granular Media," Journal of the Acoustical Society of America, Vol.81, No.1, 1987, pp. 93-102. doi:10.1121/1.394938
6. Be´rengier, M., Stinson, M., Daigle, G., and Hamet, J., "Porous Road Pavement: Acoustical Characterization and Propagation Effects," Journal of the Acoustical Society of America, Vol.101, No.1, 1997, pp. 155-162. doi:10.1121/1.417998 (Pubitemid 27026625)
7. Rienstra, S., "Impedance Models in Time Domain Including the Extended Helmholtz Resonator Model," Twelfth AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, AIAA Paper 2006-2686, 2006.
8. Morse, P., and Feshbach, H., Methods of Theoretical Physics, Vol.1, McGraw-Hill, New York, 1953, pp. 370-373.
9. Miki,Y., "Acoustical Properties of Porous Materials-Modifications of Delany-Bazley Models," Journal of the Acoustical Society of Japan, Vol.11, No.1, 1990, pp. 19-24.
10. Berthelot, Y., "Surface Acoustic Impedance and Causality," Journal of the Acoustical Society of America, Vol.109, No.4, 2001, pp. 1736-1739. doi:10.1121/1.1352089 (Pubitemid 32275213)
11. Tam, C., and Auriault, L., "Time-Domain Impedance Boundary Conditions for Computational Aeroacoustics," AIAA Journal, Vol.34, No.5, 1996, pp. 917-923. doi:10.2514/3.13168
12. O¨zyo¨ru¨k,Y., and Long, L., "ATime-Domain Implementation of Surface Acoustic Impedance Condition with and Without Flow," Journal of Computational Acoustics, Vol.5, No.3, 1997, pp. 277-296. doi:10.1142/S0218396X97000162
13. Fung, K.-Y., and Ju, H., "Broadband Time-Domain Impedance Models," AIAA Journal, Vol.39, No.8, 2001, pp. 1449-1454. doi:10.2514/2.1495
14. Reymen, Y., Baelmans, M., and Desmet, W., "Time-Domain Impedance Formulation Suited for Broadband Simulations," Thirteenth AIAA/CEAS Aeroacoustics Conference, Rome, Italy, AIAA Paper 2007-3519, 2007.
15. Ostashev, V., Collier, S., Wilson, D., Aldridge, D., Symons, N., and Marlin, D., "Pade´ Approximation in Time-Domain Boundary Conditions of Porous Surfaces," Journal of the Acoustical Society of America, Vol.122, No.1, 2007, pp. 107-112. doi:10.1121/1.2743153 (Pubitemid 47365920)
16. Luebbers, R., and Hunsberger, F., "FDTD for Nth-Order Dispersive Media," IEEE Transactions on Antennas and Propagation, Vol.40, No.11, 1992, pp. 1297-1301. doi:10.1109/8.202707 (Pubitemid 23623346)
17. Chessell, C., "Propagation of Noise Along a Finite Impedance Boundary," Journal of the Acoustical Society of America,Vol. 62, No.4, 1977, pp. 825-834. doi:10.1121/1.381603
18. Rasmussen, K., "Sound Propagation Over Grass Covered Ground," Journal of Sound and Vibration, Vol.78, No.2, 1981, pp. 247-255. doi:10.1016/S0022-460X(81)80036-3
19. Embleton, T., Piercy, J., and Daigle, G., "Effective Flow Resistivity of Ground Surfaces Determined by Acoustical Measurements," Journal of the Acoustical Society of America,Vol. 74, No.4, 1983, pp. 1239-1244. doi:10.1121/1.390029
20. Wilson, D., Ostashev, V., Collier, S., Symons, N., Aldridge, D., and Marlin, D., "Time-Domain Calculations of Sound Interactions with Outdoor Ground Surfaces," Applied Acoustics, Vol.68, No.2, 2007, pp. 173-200. doi:10.1016/j.apacoust.2005.10.004 (Pubitemid 44895321)
21. Kelley, D., and Luebbers, R., "Piecewise Linear Recursive Convolution for Dispersive Media Using FDTD," IEEE Transactions on Antennas and Propagation, Vol.44, No.6, 1996, pp. 792-797. doi:10.1109/8.509882
22. Abramowitz, M., and Stegun, I., Handbook of Mathematical Functions, Dover, New York, 1965.
23. Gustavsen, B., and Semlyen, A., "Rational Approximation of Frequency Domain Responses by Vector Fitting," IEEE Transactions on Power Delivery, Vol.14, No.3, 1999, pp. 1052-1301. doi:10.1109/61.772353
24. Coleman, T., Branch, M. A., and Grace, A., Optimization Toolbox For Use with MATLAB User's Guide, Vers. 2, 1999.
25. Bogey, C., and Bailly, C., "Large Eddy Simulations of Transitional Round Jets: Influence of the Reynolds Number on Flow Development and Energy Dissipation," Physics of Fluids, Vol.18, No.6, 2006, Paper 065101.
26. Bogey, C., and Bailly, C., "A Family of Low Dispersive and Low Dissipative Explicit Schemes for Flow and Noise Computations," Journal of Computational Physics, Vol.194, No.1, 2004, pp. 194-214. doi:10.1016/j.jcp.2003. 09.003 (Pubitemid 38184237)
27. Bogey, C., Cacqueray, N., and Bailly, C., "A Shock-Capturing Methodology Based on Adaptative Spatial Filtering for High-Order Non-Linear Computations," Journal of Computational Physics, Vol.228, No.5, 2009, pp. 1447-1465. doi:10.1016/j.jcp.2008.10.042
28. Berland, J., Bogey, C., Marsden, O., and Bailly, C., "High Order, Low Dispersive and Low Dissipative Explicit Schemes for Multiple-Scale and Boundary Problems," Journal of Computational Physics, Vol.224, No.2, 2007, pp. 637-662. doi:10.1016/j.jcp.2006.10.017
29. Bogey, C., and Bailly, C., "Three-Dimensional Non-Reflective Boundary Conditions for Acoustic Simulations: Far Field Formulation and Validation Test Cases," Acta Acustica United with Acustica,Vol. 88, No.4, 2002, pp. 463-471.
30. Tam, C., and Dong, Z., "Radiation and Outflow Boundary Conditions for Direct Computation of Acoustic and Flow Disturbances in a Nonuniform Mean Flow," Journal of Computational Acoustics, Vol.4, No.2, 1996, pp. 175-201. doi:10.1142/S0218396X96000040
31. Rienstra, S., "1-D Reflection at an ImpedanceWall," Journal of Sound and Vibration, Vol.125, No.1, 1988, pp. 43-51. doi:10.1016/0022-460X(88) 90413-0
32. Kelley, D., Destan, T., and Luebbers, R., "Debye Function Expansions of Complex Permittivity Using a Hybrid Particle Swarm-Least Squares Optimization Approach," IEEE Transactions on Antennas and Propagation, Vol.55, No.7, 2007, pp. 1999-2005. doi:10.1109/TAP.2007.900230 (Pubitemid 47098908)
33. 2 TD Type Schemes," IEEE Transactions on Microwave Theory and Techniques, Vol.43, No.8, 1995, pp. 1902-1910. doi:10.1109/22.402280
34. Beck, W., and Mirotznik, M., "Generalized Analysis of Stability and Numerical Dispersion in the Discrete-Convolution FDTD Method," IEEE Transactions on Antennas and Propagation,Vol. 48, No.6, 2000, pp. 887-894. doi:10.1109/8.865220 (Pubitemid 30930475)
35. Zheng, S., and Zhuang, M., "Three-Dimensional Benchmark Problem for Broadband Time-Domain Impedance Boundary Conditions," AIAA Journal, Vol.42, No.2, 2004, pp. 405-407. doi:10.2514/1.9102
36. Roseau, M., Asymptotic Wave Theory, North-Holland, Amsterdam, 1976, pp. 84-86.
37. Blanc-Benon, P., Dallois, L., and Juve´, D., "Long Range Sound Propagation in a Turbulent Atmosphere Within the Parabolic Approximation," Acta Acustica United with Acustica, Vol.87, No.6, 2001, pp. 659-669.
38. Cotte´, B., and Blanc-Benon, P., "Estimates of the Relevant Turbulent Scales for Acoustic Propagation in an Upward Refracting Atmosphere," Acta Acustica United with Acustica, Vol.93, No.6, 2007, pp. 944-958.