Global stability and nonlinear dynamics of wake flows with a two-fluid interface

dc.contributor.authorSchmidt, Simon
dc.contributor.authorTammisola, Outi
dc.contributor.authorLesshafft, Lutz
dc.contributor.authorOberleithner, Kilian
dc.contributor.otherPress, Cambridge
dc.date.accessioned2022-09-16T10:49:24Z
dc.date.available2022-09-16T10:49:24Z
dc.date.issued2021-03-25
dc.description.abstractA framework for the computation of linear global modes, based on time stepping of a linearised Navier–Stokes solver with an Eulerian interface representation, is presented. The method is derived by linearising the nonlinear solver BASILISK, capable of computing immiscible two-phase flows, and offers several advantages over previous, matrix-based, multi-domain approaches to linear global stability analysis of interfacial flows. Using our linear solver, we revisit the study of Tammisola et al. (J. Fluid Mech., vol. 713, 2012, pp. 632–658), who found a counter-intuitive, destabilising effect of surface tension in planar wakes. Since their original study does not provide any validation, we further compute nonlinear results for the studied flows. We show that a surface-tension-induced destabilisation of plane wakes is observable which leads to periodic, quasiperiodic or chaotic oscillations depending on the Weber number of the flow. The predicted frequencies of the linear global modes, computed in the present study, are in good agreement with the nonlinear results, and the growth rates are comparable to the disturbance growth in the nonlinear flow before saturation. The bifurcation points of the nonlinear flow are captured accurately by the linear solver and the present results are as well in correspondence with the study of Tammisola et al. (J. Fluid Mech., vol. 713, 2012, pp. 632–658).en
dc.identifier.eissn1469-7645
dc.identifier.issn0022-1120
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/17484
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-16265
dc.language.isoenen
dc.relation.ispartof10.14279/depositonce-15846
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc532 Mechanik der Fluide, Mechanik der Flüssigkeitende
dc.subject.otherlinear stability analysisen
dc.subject.othertwo-phase flowen
dc.subject.othershear flowen
dc.subject.othernonlinear dynamicsen
dc.subject.otherfluid instabilityen
dc.subject.otherlineare Stabilitätsanalysede
dc.subject.otherZweiphasenströmungde
dc.subject.otherScherströmungde
dc.subject.othernichtlineare Dynamikde
dc.subject.otherStrömungsinstabilitätde
dc.titleGlobal stability and nonlinear dynamics of wake flows with a two-fluid interfaceen
dc.typeArticleen
dc.type.versionacceptedVersionen
dcterms.bibliographicCitation.articlenumberA96en
dcterms.bibliographicCitation.doi10.1017/jfm.2021.150en
dcterms.bibliographicCitation.journaltitleJournal of Fluid Mechanicsen
dcterms.bibliographicCitation.originalpublishernameCambridge University Pressen
dcterms.bibliographicCitation.originalpublisherplaceCambridge [u.a.]en
dcterms.bibliographicCitation.volume915en
tub.accessrights.dnbfreeen
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme>Inst. Strömungsmechanik und Technische Akustik (ISTA)>FG Dynamik instabiler Strömungende
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Dynamik instabiler Strömungende
tub.affiliation.instituteInst. Strömungsmechanik und Technische Akustik (ISTA)de
tub.publisher.universityorinstitutionTechnische Universität Berlinen
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