2011
DOI: 10.3813/aaa.918442
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An Efficient Finite Element Model for Viscothermal Acoustics

Abstract: Standard isentropic acoustic models do not include the dissipative effects of viscous friction and heat conduction. These viscothermal effects can be important, for example in models of small acoustic transducers. Viscothermal acoustics can be modeled in arbitrary geometries with models that contain four or fivecoupled fields. Therefore, these fully coupled models are computationally costly.O nt he other hand, efficient approximate viscothermal acoustic models exist, butthese are only applicable to certain sim… Show more

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Cited by 23 publications
(34 citation statements)
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“…A very fine mesh is used in the couplers where the viscous and thermal effects are dominant. The order of the polynomial interpolation functions respects the Inf-Sup condition mentioned by Kampinga [23]: quadratic for velocity and temperature fields and linear to the pressure field. Table I contains the values of the physical parameters of the acoustic model.…”
Section: Finite Element Model Implementationmentioning
confidence: 99%
See 1 more Smart Citation
“…A very fine mesh is used in the couplers where the viscous and thermal effects are dominant. The order of the polynomial interpolation functions respects the Inf-Sup condition mentioned by Kampinga [23]: quadratic for velocity and temperature fields and linear to the pressure field. Table I contains the values of the physical parameters of the acoustic model.…”
Section: Finite Element Model Implementationmentioning
confidence: 99%
“…Several numerical modelings that use boundary element methods and finite element methods (BEM/FEM) have been carried out [16,17,18,19,20,21,22,23]. Those models describe acoustic fields and/or vibroacoustic membranes and plates behaviors that are coupled to viscous and thermal diffusive fields in the boundary layers.…”
Section: Introductionmentioning
confidence: 99%
“…Notwithstanding this problem, and although other more efficient models as the Low Reduced Frequency (LRF) model have been used to describe viscothermal propagation in simple tube or layer geometries [20], the full model offers a wide applicability since no geometric restrictions are imposed for the calculations. So as to increase the computational efficiency compared to the full model, Kampinga et al [21] presented an approximate model that can also be used for arbitrary geometries. Moreover, as the analytical models of perforated panel absorbers represent the extreme situation in which the resonant 6 system is infinitesimal, through the use of a finite element procedure the effect of the finite geometry on the absorption performance can be captured.…”
Section: Introductionmentioning
confidence: 99%
“…During the last few years, several numerical modelings that use boundary element methods and finite element methods (BEM/FEM) have been carried out [5,6,7,8]. Those models describe acoustic fields and/or vibroacoustic membranes and plates behaviors that are coupled to viscous and thermal diffusive fields in the boundary layers.…”
Section: Introductionmentioning
confidence: 99%