The analogy between the equation of motion of a scalar field described in a Euclidean manifold and its counterpart in a (3+1)-dimensional pseudo-Riemannian manifold is the key aspect to have the possibility to adapt acoustic metamaterial into aeronautical contexts. This justifies the introduction of analytical spacetime corrections for the extension of such devices to convective applications and, specifically, to answer community noise mitigation requests. However, the validation of the method based on the coordinate transformation concept can not transcend from the quantification of the analytical error introduced. Its characterization is the main task of the present work, where a space-time acoustic analogy approach is adopted. The equivalent sources representing the correction defect associated with specific space-time transformations are qualitatively analyzed as much as their sensitivity to the variation of characteristic aeronautical parameters. The results of accurate numerical simulations are presented to validate the analytical considerations.
Colombo, G., Palma, G., Burghignoli, L., Iemma, U. (2023). SPACETIME ACOUSTIC ANALOGY FOR THE ASSESSMENT OF CONVECTIVE CORRECTION OF METACONTINUA. In Proceedings of the International Congress on Sound and Vibration. Society of Acoustics.
SPACETIME ACOUSTIC ANALOGY FOR THE ASSESSMENT OF CONVECTIVE CORRECTION OF METACONTINUA
Colombo G.
;Palma G.;Burghignoli L.;Iemma U.
2023-01-01
Abstract
The analogy between the equation of motion of a scalar field described in a Euclidean manifold and its counterpart in a (3+1)-dimensional pseudo-Riemannian manifold is the key aspect to have the possibility to adapt acoustic metamaterial into aeronautical contexts. This justifies the introduction of analytical spacetime corrections for the extension of such devices to convective applications and, specifically, to answer community noise mitigation requests. However, the validation of the method based on the coordinate transformation concept can not transcend from the quantification of the analytical error introduced. Its characterization is the main task of the present work, where a space-time acoustic analogy approach is adopted. The equivalent sources representing the correction defect associated with specific space-time transformations are qualitatively analyzed as much as their sensitivity to the variation of characteristic aeronautical parameters. The results of accurate numerical simulations are presented to validate the analytical considerations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
