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Conference Papers Year : 2020

Modelling of a closed acoustical space by boundary reconstruction approach

Goran Pavic

Abstract

A common way to model the sound field in a closed space relies on the assumption of a diffuse sound field. In cases of pronounced modal behavior, typical of small spaces / low frequencies, the simplified diffuse model fails. Analytical modal solutions exist for spaces of primitive geometry and fully reflective boundaries, such as rectangular or spherical cavities. The spaces of complex geometry can be modelled by FEM, mirror image, tracing, diffusion and similar approaches. The present work uses a semi-analytical technique where the acoustical field is represented as a sum of two fields: 1) the primary field created by the original sound source(s) in an infinite space and 2) the secondary field created by the reflections from boundaries. The secondary field is composed of a large number of elementary solutions, each corresponding to a simple source radiating in an infinite space. The secondary sources are located outside the region occupied by the acoustical volume concerned. The field within this volume is obtained by matching the strengths of secondary sources to the field of primary source in order to achieve the desired boundary conditions at the contour surface of the modelled acoustical volume. The theoretical formulations of this technique are accompanied by several examples involving variations in the shape and boundary conditions of the acoustical space.
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Dates and versions

hal-03235212 , version 1 (16-06-2021)

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Goran Pavic. Modelling of a closed acoustical space by boundary reconstruction approach. Forum Acusticum, Dec 2020, Lyon, France. pp.531-532, ⟨10.48465/fa.2020.0027⟩. ⟨hal-03235212⟩
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