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Theses

Toward Three-Dimensional Computation of the Acoustic Energy-Stress Tensor

Abstract : The energy-stress tensor method is a theoretical approach to approximating the energetic contours of the “stochastic reverberation” using conservation equations based on the process of acoustical diffusion. In this formalism, terms describing acoustical energy density, sound intensity, and momentum flux may all be collected in a single tensor called the energy-stress tensor, which provides the basis for conservation equations capable of characterizing the stochastic reverberation. This approach was previously demonstrated to be capable of rep- resenting the diffuse field in spaces where no location in the domain was more than a meter from at least one boundary; that is, spaces that could be characterized as being primarily one- or two-dimensional, such as a hallway or a floor of an office building. The present thesis aims to extend these findings by a number of avenues: checking the frequency validity of previously derived models, introducing source terms and redefining the model in terms of a finite volume time domain (FVTD) approach, auralizing the results in the context of a hybrid acoustical model, and finally, providing a framework to extend the use of the method to three-dimensional spaces. A derivation of temporally and spatially averaged instanta- neous values of the tensor in terms of the acoustic velocity potential in a pressure-velocity FVTD simulation may be used to explore the behavior of the stochastic reverberation with- out exhaustive physical measurement in spaces with varying scattering characteristics, and eventually, to inform the direct simulation of tensor terms at the boundaries and in free space. This may be used in future work to characterize simulation parameters in terms of geometry and materials properties rather than physical measurements.
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https://hal.telecom-paris.fr/tel-03494797
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Submitted on : Monday, December 20, 2021 - 7:48:24 AM
Last modification on : Friday, January 7, 2022 - 4:46:17 PM

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  • HAL Id : tel-03494797, version 1

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Aidan Meacham. Toward Three-Dimensional Computation of the Acoustic Energy-Stress Tensor. Signal and Image processing. Sorbonne Université, 2021. English. ⟨tel-03494797⟩

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