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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 continuity equations between acoustical energy density, sound intensity, and momentum flux. These quantities may all be collected in a single tensor called the energy-stress tensor, which represents the connection between invariants in the acoustic field and the conservation equations relating its terms. This approach was previously demonstrated to be capable of representing the diffuse field in spaces that could be characterized as being one- or two-dimensional with respect to the characteristic length of the tensor quantities, 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 a source term 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 explore the behavior of the tensor in larger three-dimensional spaces. Temporally and spatially averaged values of the tensor may be calculated directly in terms of the acoustic velocity potential in a pressure-velocity FVTD simulation, giving preliminary information regarding possible assumptions for future models without requiring exhaustive physical measurement. 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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Submitted on : Tuesday, March 1, 2022 - 3:34:57 PM
Last modification on : Wednesday, March 16, 2022 - 3:54:44 AM


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  • HAL Id : tel-03592839, version 2


Aidan Meacham. Toward three-dimensional computation of the acoustic energy-stress tensor. Acoustics [physics.class-ph]. Sorbonne Université, 2021. English. ⟨NNT : 2021SORUS343⟩. ⟨tel-03592839v2⟩



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