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| HAL: hal-00714312, version 1 |
| DOI: 10.1142/S0218396X1250021X |
| Detailed view |  Export this paper |
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| Journal of Computational Acoustics 20 (2012) 125021 (25 pages) |
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| The Variational Theory of Complex Rays for three-dimensional Helmholtz problems |
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| Louis Kovalevsky 1Pierre Ladevèze 1, 2 |
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| (2012) |
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| This article proposes an extension of the Variational Theory of Complex Rays (VTCR) to three-dimensional linear acoustics, The VTCR is a Trefftz-type approach designed for mid-frequency range problems and has been previously investigated for structural dynamics and 2D acoustics. The proposed 3D formulation is based on a discretization of the amplitude portrait using spherical harmonics expansions. This choice of discretization allows to substantially reduce the numerical integration work by taking advantage of well-known analytical properties of the spherical harmonics. It also permits (like with the previous 2D Fourier version) an effective \emph{a priori} selection method for the discretization parameter in each sub-region, and allows to estimate the directivity of the pressure field by means of a natural definition of rescaled amplitude portraits. The accuracy and performance of the proposed formulation are demonstrated on a set of numerical examples that include results on an actual case study from the automotive industry. |
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| 1: | Laboratoire de Mécanique et Technologie (LMT) |
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CNRS : UMR8535 – Université Pierre et Marie Curie [UPMC] - Paris VI – École normale supérieure de Cachan - ENS Cachan |
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| 2: | Chaire de la Fondation EADS 'Techniques Avancées en Calcul des Structures' |
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EADS |
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| 3: | POEMS (CNRS:UMR 7231 - ENSTA - INRIA Rocquencourt) |
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INRIA – CNRS : UMR7231 – ENSTA ParisTech |
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| Subject | : | Physics/Mechanics/Mechanics of the solides Engineering Sciences/Mechanics/Mechanics of the solides |
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| hal-00714312, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00714312 | |
| oai:hal.archives-ouvertes.fr:hal-00714312 | |
| From: Marc Bonnet | |
| Submitted on: Wednesday, 4 July 2012 00:15:09 | |
| Updated on: Friday, 30 November 2012 08:13:49 | |
