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dc.contributor.authorBakhsh, Abeer
dc.contributor.authorGao, Song
dc.contributor.authorSamtaney, Ravi
dc.contributor.authorWheatley, V.
dc.date.accessioned2016-03-15T13:59:33Z
dc.date.available2016-03-15T13:59:33Z
dc.date.issued2016-03-09
dc.identifier.citationLinear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics 2016, 28 (3):034106 Physics of Fluids
dc.identifier.issn1070-6631
dc.identifier.issn1089-7666
dc.identifier.doi10.1063/1.4943162
dc.identifier.urihttp://hdl.handle.net/10754/601341
dc.description.abstractNumerical simulations and analysis indicate that the Richtmyer-Meshkov instability(RMI) is suppressed in ideal magnetohydrodynamics(MHD) in Cartesian slab geometry. Motivated by the presence of hydrodynamic instabilities in inertial confinement fusion and suppression by means of a magnetic field, we investigate the RMI via linear MHD simulations in cylindrical geometry. The physical setup is that of a Chisnell-type converging shock interacting with a density interface with either axial or azimuthal (2D) perturbations. The linear stability is examined in the context of an initial value problem (with a time-varying base state) wherein the linearized ideal MHD equations are solved with an upwind numerical method. Linear simulations in the absence of a magnetic field indicate that RMI growth rate during the early time period is similar to that observed in Cartesian geometry. However, this RMI phase is short-lived and followed by a Rayleigh-Taylor instability phase with an accompanied exponential increase in the perturbation amplitude. We examine several strengths of the magnetic field (characterized by β=2p/B^2_r) and observe a significant suppression of the instability for β ≤ 4. The suppression of the instability is attributed to the transport of vorticity away from the interface by Alfvén fronts.
dc.description.sponsorshipThis work was supported by the KAUST Office of Sponsored Research under Award No. URF/1/2162-01.
dc.language.isoen
dc.publisherAIP Publishing
dc.relation.urlhttp://scitation.aip.org/content/aip/journal/pof2/28/3/10.1063/1.4943162
dc.rightsArchived with thanks to Physics of Fluids
dc.titleLinear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalPhysics of Fluids
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionMechanical and Mining Engineering, The University of Queensland, Brisbane, Australia
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personBakhsh, Abeer
kaust.personGao, Song
kaust.personSamtaney, Ravi
kaust.grant.numberURF/1/2162-01
refterms.dateFOA2018-06-13T11:30:41Z
kaust.acknowledged.supportUnitKAUST Office of Sponsored Research
dc.date.published-online2016-03-09
dc.date.published-print2016-03


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