Homogenization of the acoustic transmission on periodically perforated plates interacting with potential mean flow

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dc.contributor.authorRohan, Eduard
dc.contributor.authorLukeš, Vladimír
dc.date.accessioned2023-10-30T11:00:21Z
dc.date.available2023-10-30T11:00:21Z
dc.date.issued2024
dc.description.abstract-translatedThe paper is devoted to the homogenization of the acoustic waves interacting with background steady inviscid and irrotational flow in the neighbourhood of rigid peri- odically perforated plates. We present a model of an acoustic interface obtained by the asymptotic homogenization of a thin transmission layer in which the plate is embedded. To account for the presence of the mean flow, a decomposition of the fluid pressure and velocity in the steady and fluctuating parts is employed. This leads to a linearization and an efficient use of the homogenization method with the model order reduction effect. The acoustic perturbations of the velocity potential are governed by an extended wave equation depending on the advection velocity due to the mean flow. The coefficients of the homogenized interface depend on the flow. The derived model extended by natural coupling conditions provides an implicit Dirichlet-to-Neumann operator. Numerical simulations of wave propagation in a waveguide illustrate the flow speed influence on the acoustic transmission. Also geometrical features of the plate perforation are explored.en
dc.format
dc.format18 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationROHAN, E. LUKEŠ, V. Homogenization of the acoustic transmission on periodically perforated plates interacting with potential mean flow. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, roč. 438, č. 1 March 2024, s. nestránkováno. ISSN: 0377-0427cs
dc.identifier.document-number1073279700001
dc.identifier.doi10.1016/j.cam.2023.115509
dc.identifier.issn0377-0427
dc.identifier.obd43940212
dc.identifier.uri2-s2.0-85170271354
dc.identifier.urihttp://hdl.handle.net/11025/54577
dc.language.iso
dc.language.isoenen
dc.project.IDGA21-16406S/Nelineární akustika a transportní procesy v porézních periodických strukturáchcs
dc.publisherElsevieren
dc.relation.ispartofseriesJournal Of Computational And Applied Mathematicsen
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelůmcs
dc.rights© Elsevieren
dc.rights.accessrestrictedAccessen
dc.subject.translatedhomogenizationen
dc.subject.translatedacoustic waves in fluiden
dc.subject.translatedmodified wave equationen
dc.subject.translatedtransmission conditionsen
dc.subject.translatedporous interfaceen
dc.subject.translatedmultiscale modellingen
dc.titleHomogenization of the acoustic transmission on periodically perforated plates interacting with potential mean flowen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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