Encyclopedia of Computational Mechanics 2004
DOI: 10.1002/0470091355.ecm046
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Acoustics

Abstract: State‐of‐the‐art computational methods for linear acoustics are reviewed. The equations of linear acoustics are summarized and then transformed to the frequency domain for time‐harmonic waves governed by the Helmholtz equation. Two major current challenges in the field are specifically addressed: numerical dispersion errors that arise in the approximation of short unresolved waves, polluting resolved scales and requiring a large computational effort, and the effective treatment of unbounded domains by domain‐b… Show more

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Cited by 8 publications
(4 citation statements)
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“…Consider the exterior scattering problem [Thompson and Pinsky 2004], a solid three-dimensional object A immersed in an unbounded air volume (see Figure 2(a)). Considering only time-harmonic vibrations, with angular frequency ω and a homogeneous medium with constant speed of sound c, acoustic wave propagation can be expressed as a boundary value problem for the Helmholtz equation…”
Section: The Equivalent Source Methodsmentioning
confidence: 99%
“…Consider the exterior scattering problem [Thompson and Pinsky 2004], a solid three-dimensional object A immersed in an unbounded air volume (see Figure 2(a)). Considering only time-harmonic vibrations, with angular frequency ω and a homogeneous medium with constant speed of sound c, acoustic wave propagation can be expressed as a boundary value problem for the Helmholtz equation…”
Section: The Equivalent Source Methodsmentioning
confidence: 99%
“…For mathematical and computational foundations of acoustics, see [269,328]. Physiology and psychoacoustics are covered in [223,370] and Chapters 4 and 5 of [207].…”
Section: Further Readingmentioning
confidence: 99%
“…The artificial truncation boundary t , however, requires some special treatment in order to prevent or to reduce the spurious reflections of waves. The three most commonly used treatments are [15,16,28] 1. The application of absorbing boundary conditions, 2.…”
Section: Treatment Of Unbounded Domainsmentioning
confidence: 99%