The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics

Handle URI:
http://hdl.handle.net/10754/552277
Title:
The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics
Authors:
Wheatley, V.; Samtaney, Ravi ( 0000-0002-4702-6473 ) ; Pullin, D. I.; Gehre, R. M.
Abstract:
The magnetohydrodynamic Richtmyer-Meshkov instability is investigated for the case where the initial magnetic field is unperturbed and aligned with the mean interface location. For this initial condition, the magnetic field lines penetrate the perturbed density interface, forbidding a tangential velocity jump and therefore the presence of a vortex sheet. Through simulation, we find that the vorticity distribution present on the interface immediately after the shock acceleration breaks up into waves traveling parallel and anti-parallel to the magnetic field, which transport the vorticity. The interference of these waves as they propagate causes the perturbation amplitude of the interface to oscillate in time. This interface behavior is accurately predicted over a broad range of parameters by an incompressible linearized model derived presently by solving the corresponding impulse driven, linearized initial value problem. Our use of an equilibrium initial condition results in interface motion produced solely by the impulsive acceleration. Nonlinear compressible simulations are used to investigate the behavior of the transverse field magnetohydrodynamic Richtmyer-Meshkov instability, and the performance of the incompressible model, over a range of shock strengths, magnetic field strengths, perturbation amplitudes and Atwood numbers.
KAUST Department:
Mechanical Engineering Program
Citation:
The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics 2014, 26 (1):016102 Physics of Fluids
Journal:
Physics of Fluids
Issue Date:
10-Jan-2014
DOI:
10.1063/1.4851255
Type:
Article
ISSN:
1070-6631; 1089-7666
Additional Links:
http://scitation.aip.org/content/aip/journal/pof2/26/1/10.1063/1.4851255
Appears in Collections:
Articles; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorWheatley, V.en
dc.contributor.authorSamtaney, Ravien
dc.contributor.authorPullin, D. I.en
dc.contributor.authorGehre, R. M.en
dc.date.accessioned2015-05-05T08:39:24Zen
dc.date.available2015-05-05T08:39:24Zen
dc.date.issued2014-01-10en
dc.identifier.citationThe transverse field Richtmyer-Meshkov instability in magnetohydrodynamics 2014, 26 (1):016102 Physics of Fluidsen
dc.identifier.issn1070-6631en
dc.identifier.issn1089-7666en
dc.identifier.doi10.1063/1.4851255en
dc.identifier.urihttp://hdl.handle.net/10754/552277en
dc.description.abstractThe magnetohydrodynamic Richtmyer-Meshkov instability is investigated for the case where the initial magnetic field is unperturbed and aligned with the mean interface location. For this initial condition, the magnetic field lines penetrate the perturbed density interface, forbidding a tangential velocity jump and therefore the presence of a vortex sheet. Through simulation, we find that the vorticity distribution present on the interface immediately after the shock acceleration breaks up into waves traveling parallel and anti-parallel to the magnetic field, which transport the vorticity. The interference of these waves as they propagate causes the perturbation amplitude of the interface to oscillate in time. This interface behavior is accurately predicted over a broad range of parameters by an incompressible linearized model derived presently by solving the corresponding impulse driven, linearized initial value problem. Our use of an equilibrium initial condition results in interface motion produced solely by the impulsive acceleration. Nonlinear compressible simulations are used to investigate the behavior of the transverse field magnetohydrodynamic Richtmyer-Meshkov instability, and the performance of the incompressible model, over a range of shock strengths, magnetic field strengths, perturbation amplitudes and Atwood numbers.en
dc.relation.urlhttp://scitation.aip.org/content/aip/journal/pof2/26/1/10.1063/1.4851255en
dc.rightsArchived with thanks to Physics of Fluidsen
dc.titleThe transverse field Richtmyer-Meshkov instability in magnetohydrodynamicsen
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalPhysics of Fluidsen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionSchool of Mechanical and Mining Engineering, University of Queensland, Queensland 4072, Australiaen
dc.contributor.institutionGraduate Aerospace Laboratories, California Institute of Technology, Pasadena, California 91125, USAen
dc.contributor.institutionSchool of Mechanical and Mining Engineering, University of Queensland, Queensland 4072, Australiaen
kaust.authorSamtaney, Ravien
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