Shape optimization of micro-acoustic devices including viscous and thermal losses

Peter Risby Andersen*, Vicente Cutanda Henríquez, Niels Aage

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Since the late 1980s, numerical shape optimization has been applied successfully to improve the design and development of novel acoustic devices. Most often, viscous and thermal dissipation effects are neglected in the optimization process, as this is an acceptable assumption in e.g. room acoustics, etc. However, in many acoustic devices, ranging from hearing aids to metamaterials, dissipation can significantly influence the acoustic wave behaviour. In this paper, we propose a numerical acoustic shape optimization technique and we demonstrate it using two-dimensional quarter-wave and Helmholtz resonators including accurate modelling of viscous and thermal dissipation. By combining a dissipative boundary element method with shape optimization, the sound absorption capability of the resonators located at an impedance tube termination is maximized. Numerical experiments demonstrate the importance of viscothermal dissipation and its impact on the optimization outcome. The resulting resonator shapes, optimized using a lossy assumption, yield significantly better performance compared to their lossless counterpart, with near-perfect absorption at the desired optimization frequencies.

Original languageEnglish
JournalJournal of Sound and Vibration
Volume447
Pages (from-to)120-136
ISSN0022-460X
DOIs
Publication statusPublished - 2019

Keywords

  • Acoustics
  • Boundary element method
  • Shape optimization
  • Viscothermal losses

Cite this

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title = "Shape optimization of micro-acoustic devices including viscous and thermal losses",
abstract = "Since the late 1980s, numerical shape optimization has been applied successfully to improve the design and development of novel acoustic devices. Most often, viscous and thermal dissipation effects are neglected in the optimization process, as this is an acceptable assumption in e.g. room acoustics, etc. However, in many acoustic devices, ranging from hearing aids to metamaterials, dissipation can significantly influence the acoustic wave behaviour. In this paper, we propose a numerical acoustic shape optimization technique and we demonstrate it using two-dimensional quarter-wave and Helmholtz resonators including accurate modelling of viscous and thermal dissipation. By combining a dissipative boundary element method with shape optimization, the sound absorption capability of the resonators located at an impedance tube termination is maximized. Numerical experiments demonstrate the importance of viscothermal dissipation and its impact on the optimization outcome. The resulting resonator shapes, optimized using a lossy assumption, yield significantly better performance compared to their lossless counterpart, with near-perfect absorption at the desired optimization frequencies.",
keywords = "Acoustics, Boundary element method, Shape optimization, Viscothermal losses",
author = "Andersen, {Peter Risby} and {Cutanda Henr{\'i}quez}, Vicente and Niels Aage",
year = "2019",
doi = "10.1016/j.jsv.2019.01.047",
language = "English",
volume = "447",
pages = "120--136",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Elsevier",

}

Shape optimization of micro-acoustic devices including viscous and thermal losses. / Andersen, Peter Risby; Cutanda Henríquez, Vicente; Aage, Niels.

In: Journal of Sound and Vibration, Vol. 447, 2019, p. 120-136.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Shape optimization of micro-acoustic devices including viscous and thermal losses

AU - Andersen, Peter Risby

AU - Cutanda Henríquez, Vicente

AU - Aage, Niels

PY - 2019

Y1 - 2019

N2 - Since the late 1980s, numerical shape optimization has been applied successfully to improve the design and development of novel acoustic devices. Most often, viscous and thermal dissipation effects are neglected in the optimization process, as this is an acceptable assumption in e.g. room acoustics, etc. However, in many acoustic devices, ranging from hearing aids to metamaterials, dissipation can significantly influence the acoustic wave behaviour. In this paper, we propose a numerical acoustic shape optimization technique and we demonstrate it using two-dimensional quarter-wave and Helmholtz resonators including accurate modelling of viscous and thermal dissipation. By combining a dissipative boundary element method with shape optimization, the sound absorption capability of the resonators located at an impedance tube termination is maximized. Numerical experiments demonstrate the importance of viscothermal dissipation and its impact on the optimization outcome. The resulting resonator shapes, optimized using a lossy assumption, yield significantly better performance compared to their lossless counterpart, with near-perfect absorption at the desired optimization frequencies.

AB - Since the late 1980s, numerical shape optimization has been applied successfully to improve the design and development of novel acoustic devices. Most often, viscous and thermal dissipation effects are neglected in the optimization process, as this is an acceptable assumption in e.g. room acoustics, etc. However, in many acoustic devices, ranging from hearing aids to metamaterials, dissipation can significantly influence the acoustic wave behaviour. In this paper, we propose a numerical acoustic shape optimization technique and we demonstrate it using two-dimensional quarter-wave and Helmholtz resonators including accurate modelling of viscous and thermal dissipation. By combining a dissipative boundary element method with shape optimization, the sound absorption capability of the resonators located at an impedance tube termination is maximized. Numerical experiments demonstrate the importance of viscothermal dissipation and its impact on the optimization outcome. The resulting resonator shapes, optimized using a lossy assumption, yield significantly better performance compared to their lossless counterpart, with near-perfect absorption at the desired optimization frequencies.

KW - Acoustics

KW - Boundary element method

KW - Shape optimization

KW - Viscothermal losses

U2 - 10.1016/j.jsv.2019.01.047

DO - 10.1016/j.jsv.2019.01.047

M3 - Journal article

VL - 447

SP - 120

EP - 136

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

ER -