Padé approximation in time-domain boundary conditions of porous surfaces

Journal of the Acoustical Society of America

Volumn 122, Issue 1, 2007, Pages 107-112

  Ostashev, Vladimir E ^a,b   Collier, Sandra L ^c   Wilson, D Keith ^d   Aldridge, David F ^e   Symons, Neill P ^e   Marlin, David ^c  

^a NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^b NEW MEXICO STATE UNIVERSITY   (United States)

^c U S ARMY RESEARCH LABORATORY   (United States)

^d US Army Engineer Research and Development Center   (United States)

^e SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL EFFICIENCY; ELECTRIC ADMITTANCE; TIME DOMAIN ANALYSIS;

EXPONENTIAL FUNCTIONS; TIME-DOMAIN BOUNDARY CONDITIONS (TDBC); ZWIKKER-KOSTEN IMPEDANCE MODEL;

POROUS MATERIALS;

ARTICLE; IMPEDANCE; MATERIAL STATE; MATERIALS HANDLING; POROSITY; PRIORITY JOURNAL; SURFACE PROPERTY; ACOUSTICS; ATMOSPHERE; COMPUTER SIMULATION; FOURIER ANALYSIS; PRESSURE; THEORETICAL MODEL; TIME;

ACOUSTICS; ATMOSPHERE; COMPUTER SIMULATION; FOURIER ANALYSIS; MODELS, THEORETICAL; POROSITY; PRESSURE; TIME FACTORS;

EID: 34547427051     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2743153     Document Type: Article

References (19)

1. E. Salomons, R. Blumrich, and D. Heimann, " Eulerian time-domain model for sound propagation over a finite-impedance ground surface. Comparison with frequency-domain methods., " Acust. Acta Acust. 88, 483-492 (2002).
2. T. V. Renterghem and D. Botteldooren, " Numerical simulation of the effect of trees on downwind noise barrier performance., " Acust. Acta Acust. 89, 764-778 (2003).
3. V. E. Ostashev, D. K. Wilson, L. Liu, D. F. Aldridge, N. P. Symons, and D. H. Marlin, " Equations for finite-difference, time-domain simulation of sound propagation in moving inhomogeneous media and numerical implementation., " J. Acoust. Soc. Am. 117, 503-517 (2005).
4. L. Liu and D. G. Albert, " Acoustic pulse propagation near a right-angle wall., " J. Acoust. Soc. Am. 119, 2073-2083 (2006).
5. D. K. Wilson, S. L. Collier, V. E. Ostashev, D. F. Aldridge, N. P. Symons, and D. H. Marlin, " Time-domain modeling of the acoustic impedance of porous surfaces., " Acust. Acta Acust. 92, 965-975 (2006).
6. K. Attenborough, " On the acoustic slow wave in air-filled granular media., " J. Acoust. Soc. Am. 81, 93-102 (1987).
7. M. E. Delany and E. N. Bazley, " Acoustical properties of fibrous absorbent materials., " Appl. Acoust. 3, 105-116 (1970).
8. D. K. Wilson, " Simple, relaxational models for the acoustical properties of porous media., " Appl. Acoust. 50, 171-188 (1997).
9. K. V. Horoshenkov and S. N. Chandler-Wilde, " On the behaviour of some impedance models for the acoustic properties of rigid frame porous media., " in Proceedings of the 6th International Congress on Sound and Vibration, pp. 653-660, Copenhagen, July 1999.
10. C. Zwikker and C. W. Kosten, Sound Absorbing Materials (Elsevier, New York, 1949).
11. D. K. Wilson, V. E. Ostashev, S. L. Collier, N. P. Symons, D. F. Aldridge, and D. H. Marlin, " Time-domain calculations of sound interactions with outdoor ground surfaces., " Appl. Acoust. 68, 173-200 (2007).
12. S. L. Collier, D. K. Wilson, V. E. Ostashev, and D. F. Aldridge, " Time domain equations for sound propagation over rigid, porous ground surfaces., " in Proceedings of 11th International Symposium on Long Range Sound Propagation, Fairlee, VT, 1-3 June (2004), p. 46-68.
13. K. Heutschi, M. Horvath, and J. Hofmann, " Simulation of ground impedance in finite difference time domain calculations of outdoor sound propagation., " Acust. Acta Acust. 91, 35-40 (2005).
14. C.-H. Lam, B. J. Kooij, and A. T. D. Hoop, " Impulsive sound reflection from an absorptive and dispersive planar boundary., " J. Acoust. Soc. Am. 116, 677-685 (2004).
15. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York, 1993).
16. M. Liebler, S. Ginter, T. Dreyer, and R. E. Riedlinger, " Full wave modeling of therapeutic ultrasound: Efficient time-domain implementation of the frequency power-law attenuation., " J. Acoust. Soc. Am. 116, 2742-2750 (2004).
17. K. B. Oldman and J. Spanier, The Fractional Calculus (Academic, New York, 1974).
18. Z. E. A. Fellah and C. Depollier, " Transient acoustic wave propagation in rigid porous media: A time-domain approach., " J. Acoust. Soc. Am. 107, 683-688 (2000).
19. S. N. Chandler-Wilde and K. V. Horoshenkov, " Padé approximants for the acoustical characteristics of rigid porous media., " J. Acoust. Soc. Am. 98, 1119-1129 (1995).