Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics
dc.contributor.author | Bakhsh, Abeer | |
dc.contributor.author | Gao, Song | |
dc.contributor.author | Samtaney, Ravi | |
dc.contributor.author | Wheatley, V. | |
dc.date.accessioned | 2016-03-15T13:59:33Z | |
dc.date.available | 2016-03-15T13:59:33Z | |
dc.date.issued | 2016-03-09 | |
dc.identifier.citation | Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics 2016, 28 (3):034106 Physics of Fluids | |
dc.identifier.issn | 1070-6631 | |
dc.identifier.issn | 1089-7666 | |
dc.identifier.doi | 10.1063/1.4943162 | |
dc.identifier.uri | http://hdl.handle.net/10754/601341 | |
dc.description.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. | |
dc.description.sponsorship | This work was supported by the KAUST Office of Sponsored Research under Award No. URF/1/2162-01. | |
dc.language.iso | en | |
dc.publisher | AIP Publishing | |
dc.relation.url | http://scitation.aip.org/content/aip/journal/pof2/28/3/10.1063/1.4943162 | |
dc.rights | Archived with thanks to Physics of Fluids | |
dc.title | Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics | |
dc.type | Article | |
dc.contributor.department | Applied Mathematics and Computational Science Program | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.contributor.department | Fluid and Plasma Simulation Group (FPS) | |
dc.contributor.department | Mechanical Engineering Program | |
dc.contributor.department | Physical Science and Engineering (PSE) Division | |
dc.identifier.journal | Physics of Fluids | |
dc.eprint.version | Publisher's Version/PDF | |
dc.contributor.institution | Mechanical and Mining Engineering, The University of Queensland, Brisbane, Australia | |
dc.contributor.affiliation | King Abdullah University of Science and Technology (KAUST) | |
kaust.person | Bakhsh, Abeer | |
kaust.person | Gao, Song | |
kaust.person | Samtaney, Ravi | |
kaust.grant.number | URF/1/2162-01 | |
refterms.dateFOA | 2018-06-13T11:30:41Z | |
kaust.acknowledged.supportUnit | KAUST Office of Sponsored Research | |
dc.date.published-online | 2016-03-09 | |
dc.date.published-print | 2016-03 |
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