A General Formalism for Analyzing Acoustic 2-Port Networks

Glav, Ragnar; Åbom, Mats

doi:10.1006/jsvi.1996.0808

Cited by 69 publications

(23 citation statements)

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“…This criterion has then been generalized to obtain the corresponding mesh requirements in a three-dimensional geometry. Then, a brief outline of the formalism used to solve the acoustic network representing a three-dimensional cavity has been given; in fact, in such a context the present contribution appears as a natural extension of the method proposed by Glav and Åbom [2]. The procedure has then been validated against experimental results and other numerical procedures in two simple but significant cases in the absence of a mean flow, indicating its ability to reproduce the observed three-dimensional behaviour of both rectangular and elliptical expansion chambers with a relatively moderate computational cost.…”

Section: Discussionmentioning

confidence: 99%

“…In this section, first the formalism which enables to consider three-dimensional networks [2] is briefly summarized. Then, the results obtained with the proposed methodology for two simple geometries in the absence of a mean flow are compared to those obtained from FEM and full CFD computations and from experiments.…”

Section: Three-dimensional Analysismentioning

confidence: 99%

“…Considering an acoustic network with M 2-ports, equations (24) and (25) give a total of 4M equations with 4M unknowns, so that it is possible to combine the multi-port equations (24) and the 2-port equations (25) to derive a single equation for the whole acoustic network. This complete network equation may be written as [2]:…”

Section: Assembling Of the Three-dimensional Acoustic Networkmentioning

confidence: 99%

“…The details of the procedure, which is based on the definition of a global incidence matrix, can be found in reference [2]. Then, if p + c is known, p − c can be obtained.…”

Section: Assembling Of the Three-dimensional Acoustic Networkmentioning

confidence: 99%

“…Subsequent efforts were reported by Glav and Åbom [2], who developed a general formalism for analyzing acoustic 2-port networks in which the junctions between 2-ports may be considered as active multi-ports. Dowling and Peat [3] described an efficient algorithm based on the identification of subsystems of 2-port acoustic elements.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of acoustic networks including cavities by means of a linear finite volume method

Torregrosa

Broatch

Gil

et al. 2012

Journal of Sound and Vibration

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A procedure allowing for the analysis of complex acoustic networks, including three-dimensional cavities described in terms of zero-dimensional equivalent elements, is presented and validated. The procedure is based on the linearization of the finite volume method often used in gas-dynamics, which is translated into an acoustic network comprising multi-ports accounting for mass exchanges between the finite volumes, and equivalent 2-ports describing momentum exchange across the volume surfaces. The application of the concept to a one-dimensional case shows that it actually converges to the exact analytical solution when a sufficiently large number of volumes are considered. This has allowed the formulation of an objective criterion for the choice of a mesh providing results with a prefixed error up to a certain Helmholtz number, which has been generalized to three-dimensional cases. The procedure is then applied to simple but relevant three-dimensional geometries in the absence of a mean flow, showing good agreement with experimental and other computational results.

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Section: Discussionmentioning

confidence: 99%

Section: Three-dimensional Analysismentioning

confidence: 99%

Section: Assembling Of the Three-dimensional Acoustic Networkmentioning

confidence: 99%

“…The details of the procedure, which is based on the definition of a global incidence matrix, can be found in reference [2]. Then, if p + c is known, p − c can be obtained.…”

Section: Assembling Of the Three-dimensional Acoustic Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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