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Journal of the Acoustical Society of America / Volume 122 / Issue 1 / AEROACOUSTICS, ATMOSPHERIC SOUND [28]

Padé approximation in time-domain boundary conditions of porous surfaces

J. Acoust. Soc. Am. Volume 122, Issue 1, pp. 107-112 (2007); (6 pages)

Vladimir E. Ostashev1, Sandra L. Collier2, D. Keith Wilson3, David F. Aldridge4, Neill P. Symons4, and David Marlin5

1NOAA/Earth System Research Laboratory, Boulder, Colorado 80305 and Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003
2U.S. Army Research Laboratory, Maryland 20783-1197
3U.S. Army Engineer Research and Development Center, Hanover, New Hampshire 03755
4Geophysics Department, Sandia National Laboratories, Albuquerque, New Mexico 87185
5U.S. Army Research Laboratory, White Sands Missile Range, New Mexico 88002

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Formulation and implementation of time-domain boundary conditions (TDBCs) at the surface of a reactive porous material are made challenging by the slow decay, complexity, or noncausal nature of many commonly used models of porous materials. In this paper, approaches are described that improve computational efficiency and enforce causality. One approach involves approximating the known TDBC for the modified Zwikker-Kosten impedance model as a summation of decaying exponential functions. A second approach, which can be applied to any impedance model, involves replacing the characteristic admittance with its Padé approximation. Then, approximating fractional derivatives with decaying exponentials, a causal and recursive TDBC is formulated

© 2007 Acoustical Society of America

Article Outline

  1. INTRODUCTION
  2. ZWIKKER-KOSTEN MODEL AND RECURSIVE APPROXIMATIONS
    1. Basic equations
    2. Time-domain boundary condition
    3. Low- and high-frequency approximations
  3. FREQUENCY-DOMAIN, PADÉ APPROXIMATIONS
    1. Zwikker-Kosten model
    2. Attenborough model
  4. CONCLUSIONS

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KEYWORDS and PACS

Keywords

atmospheric acoustics, acoustic impedance

PACS

  • 43.28.En

    Interaction of sound with ground surfaces, ground cover and topography, acoustic impedance of outdoor surfaces

  • 43.28.Js

    Numerical models for outdoor propagation

ARTICLE DATA

History
Received 22 Feb 2007
Accepted 28 Apr 2007
Revised 27 Apr 2007
Digital Object Identifier
http://dx.doi.org/10.1121/1.2743153

PUBLICATION DATA

ISSN

0001-4966 (print)  

Publisher

$abstract.society.value is a Member of CrossRef Acoustical Society of America

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