Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics

Handle URI:
http://hdl.handle.net/10754/601341
Title:
Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics
Authors:
Bakhsh, Abeer ( 0000-0002-3512-2476 ) ; Gao, Song; Samtaney, Ravi ( 0000-0002-4702-6473 ) ; Wheatley, V.
Abstract:
Numerical 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.
KAUST Department:
Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division
Citation:
Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics 2016, 28 (3):034106 Physics of Fluids
Publisher:
AIP Publishing
Journal:
Physics of Fluids
Issue Date:
9-Mar-2016
DOI:
10.1063/1.4943162
Type:
Article
ISSN:
1070-6631; 1089-7666
Sponsors:
This work was supported by the KAUST Office of Sponsored Research under Award No. URF/1/2162-01.
Additional Links:
http://scitation.aip.org/content/aip/journal/pof2/28/3/10.1063/1.4943162
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBakhsh, Abeeren
dc.contributor.authorGao, Songen
dc.contributor.authorSamtaney, Ravien
dc.contributor.authorWheatley, V.en
dc.date.accessioned2016-03-15T13:59:33Zen
dc.date.available2016-03-15T13:59:33Zen
dc.date.issued2016-03-09en
dc.identifier.citationLinear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics 2016, 28 (3):034106 Physics of Fluidsen
dc.identifier.issn1070-6631en
dc.identifier.issn1089-7666en
dc.identifier.doi10.1063/1.4943162en
dc.identifier.urihttp://hdl.handle.net/10754/601341en
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.en
dc.description.sponsorshipThis work was supported by the KAUST Office of Sponsored Research under Award No. URF/1/2162-01.en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.relation.urlhttp://scitation.aip.org/content/aip/journal/pof2/28/3/10.1063/1.4943162en
dc.rightsArchived with thanks to Physics of Fluidsen
dc.titleLinear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamicsen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalPhysics of Fluidsen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionMechanical and Mining Engineering, The University of Queensland, Brisbane, Australiaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorBakhsh, Abeeren
kaust.authorGao, Songen
kaust.authorSamtaney, Ravien
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