Confirming dimensional reduction assumptions for the energy-stress tensor through comparison with high-frequency wave-based pressure simulations - Archive ouverte HAL
Communication Dans Un Congrès Année : 2022

Confirming dimensional reduction assumptions for the energy-stress tensor through comparison with high-frequency wave-based pressure simulations

Résumé

In room acoustics, the energy-stress tensor represents the conservative relationships between the acoustic energy density, sound intensity, and the symmetric wave-stress tensor. In real rooms, the off-diagonal components of the wave-stress tensor are non-zero, implying the existence of shear stresses acting upon the energetic quantities. Assumptions regarding these terms in 1- and 2-dimensional spaces [Dujourdy et al. 2017, 2019] were used to reduce the energy-stress tensor relationships to a tractable system capable of predicting frequency- dependent stochastic reverberation decays in those spaces [Meacham et al. 2019]. Direct verification of those assumptions at a single location in a real space would require more measurements at varying positions than can be reliably captured without robotization, let alone in acoustically distinct regions of a room. Therefore, in this work, we aim to verify the 1-dimensional reduction assumptions by examining a high- frequency wave-based pressure simulation, allowing averaging over a wide number of sampling positions at multiple locations throughout a space, providing insight into the relationship between room geometry and the terms of the energy-stress tensor.
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Dates et versions

hal-03848224 , version 1 (10-11-2022)

Identifiants

  • HAL Id : hal-03848224 , version 1

Citer

Aidan Meacham, Roland Badeau, Jean-Dominique Polack. Confirming dimensional reduction assumptions for the energy-stress tensor through comparison with high-frequency wave-based pressure simulations. 16ème Congrès Français d'Acoustique, CFA2022, Société Française d'Acoustique; Laboratoire de Mécanique et d'Acoustique, Apr 2022, Marseille, France. ⟨hal-03848224⟩
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