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Sound propagation over inhomogeneous ground including a sound velocity profile

Peplow, Andrew T. LU orcid and Finnveden, Svante (2006) Mathematical Modeling of Wave Phenomena: 2nd Conference on Mathematical Modeling of Wave Phenomena In AIP Conference Proceedings 834. p.122-129
Abstract

The atmospheric profile whose sound speed varies linearly with height is simple in concept, but leads to complications when solving for the sound pressure. Its effects are commonly approximated by a similar profile whose squared refractive index is a linear function of height. In this paper, the validity of the approximation has been examined for sound propagation above an impedance ground and a computational approximation is given. The method relies upon a family of radiation boundary conditions for the wave equation derived by truncating a summation function approximation of a corresponding plane wave reflection coefficient representation. It is demonstrated how these boundary conditions can be formulated in terms of a finite element... (More)

The atmospheric profile whose sound speed varies linearly with height is simple in concept, but leads to complications when solving for the sound pressure. Its effects are commonly approximated by a similar profile whose squared refractive index is a linear function of height. In this paper, the validity of the approximation has been examined for sound propagation above an impedance ground and a computational approximation is given. The method relies upon a family of radiation boundary conditions for the wave equation derived by truncating a summation function approximation of a corresponding plane wave reflection coefficient representation. It is demonstrated how these boundary conditions can be formulated in terms of a finite element approach. Numerical examples illustrate results with four coefficients included at the upper fictitious boundary conditions for the case of sound propagation above a grass-strip and sound propagation over the grass-strip with an atmospheric profile.

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Please use this url to cite or link to this publication:
author
and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Finite elements, Non-reflecting boundary conditions, Sound propagation
host publication
MATHEMATICAL MODELING OF WAVE PHENOMENA : 2nd Conference on Mathematical Modeling of Wave Phenomena - 2nd Conference on Mathematical Modeling of Wave Phenomena
series title
AIP Conference Proceedings
volume
834
pages
8 pages
conference name
Mathematical Modeling of Wave Phenomena: 2nd Conference on Mathematical Modeling of Wave Phenomena
conference location
Vaxjo, Sweden
conference dates
2005-08-14 - 2005-08-19
external identifiers
  • scopus:33845572249
ISSN
1551-7616
0094-243X
ISBN
0735403252
9780735403253
DOI
10.1063/1.2205795
language
English
LU publication?
no
additional info
Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
id
0221f757-a25d-4509-9774-8e3a74f25d60
date added to LUP
2021-03-08 15:16:50
date last changed
2024-01-05 07:26:03
@inproceedings{0221f757-a25d-4509-9774-8e3a74f25d60,
  abstract     = {{<p>The atmospheric profile whose sound speed varies linearly with height is simple in concept, but leads to complications when solving for the sound pressure. Its effects are commonly approximated by a similar profile whose squared refractive index is a linear function of height. In this paper, the validity of the approximation has been examined for sound propagation above an impedance ground and a computational approximation is given. The method relies upon a family of radiation boundary conditions for the wave equation derived by truncating a summation function approximation of a corresponding plane wave reflection coefficient representation. It is demonstrated how these boundary conditions can be formulated in terms of a finite element approach. Numerical examples illustrate results with four coefficients included at the upper fictitious boundary conditions for the case of sound propagation above a grass-strip and sound propagation over the grass-strip with an atmospheric profile.</p>}},
  author       = {{Peplow, Andrew T. and Finnveden, Svante}},
  booktitle    = {{MATHEMATICAL MODELING OF WAVE PHENOMENA : 2nd Conference on Mathematical Modeling of Wave Phenomena}},
  isbn         = {{0735403252}},
  issn         = {{1551-7616}},
  keywords     = {{Finite elements; Non-reflecting boundary conditions; Sound propagation}},
  language     = {{eng}},
  month        = {{05}},
  pages        = {{122--129}},
  series       = {{AIP Conference Proceedings}},
  title        = {{Sound propagation over inhomogeneous ground including a sound velocity profile}},
  url          = {{http://dx.doi.org/10.1063/1.2205795}},
  doi          = {{10.1063/1.2205795}},
  volume       = {{834}},
  year         = {{2006}},
}