The Magnetohydrodynamic Richtmyer-Meshkov Instability: The Oblique Field Case

Wheatley, Vincent; Gehre, Rolf; Samtaney, Ravi; Pullin, D. I.

doi:10.1007/978-3-319-16838-8_50

Cited by 10 publications

(15 citation statements)

References 10 publications

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“…One framework which is sometimes used for modelling the dynamics of plasmas is magnetohydrodynamics (MHD), and recent research to suggest that the RM instability is suppressed in MHD in the presence of a seed magnetic field: Samtaney 6 first noted its suppression in a uniform seed magnetic field for a planar shock accelerating a density interface inclined to the magnetic field; Wheatley et al [7][8][9] later examined the mechanism of the suppression and extended the literature to transverse- 10 and general oblique-field 11 planar flow cases, while Sano et al 12 theoretically and numerically investigated the critical strength of a magnetic field required for suppression of the planar RM instability, finding it to depend on the Mach number of the incident shock.…”

Section: Introductionmentioning

confidence: 99%

Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability

et al. 2015

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The effects of seed magnetic fields on the Richtmyer-Meshkov instability driven by converging cylindrical and spherical implosions in ideal magnetohydrodynamics are investigated. Two different seed field configurations at various strengths are applied over a cylindrical or spherical density interface which has a single-dominant-mode perturbation. The shocks that excite the instability are generated with appropriate Riemann problems in a numerical formulation and the effect of the seed field on the growth rate and symmetry of the perturbations on the density interface is examined. We find reduced perturbation growth for both field configurations and all tested strengths. The extent of growth suppression increases with seed field strength but varies with the angle of the field to interface. The seed field configuration does not significantly affect extent of suppression of the instability, allowing it to be chosen to minimize its effect on implosion distortion. However, stronger seed fields are required in three dimensions to suppress the instability effectively.

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Section: Introductionmentioning

confidence: 99%

Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability

et al. 2015

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“…13 Samtaney 14 showed that growth of the MHD RMI is suppressed under a magnetic field normal to the material interface in certain planar flow configurations and Wheatley et al [15][16][17] subsequently investigated the mechanism of this suppression. Further research also examined the suppression of the RMI by transverse 18,19 and oblique 20 seed fields for planar MHD flows. Characterizing the dynamics of MHD implosions under the effect of seed fields would assist in a fundamental investigation of the MHD RMI in cylindrical or spherical converging flows, to complement the literature [21][22][23][24] on its hydrodynamic counterpart.…”

Section: Introductionmentioning

confidence: 99%

Effects of seed magnetic fields on magnetohydrodynamic implosion structure and dynamics

et al. 2014

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Effects of seed magnetic fields on magnetohydrodynamic implosion structure and dynamics The effects of various seed magnetic fields on the dynamics of cylindrical and spherical implosions in ideal magnetohydrodynamics are investigated. Here, we present a fundamental investigation of this problem utilizing cylindrical and spherical Riemann problems under three seed field configurations to initialize the implosions. The resulting flows are simulated numerically, revealing rich flow structures, including multiple families of magnetohydrodynamic shocks and rarefactions that interact non-linearly. We fully characterize these flow structures, examine their axi-and spherisymmetrybreaking behaviour, and provide data on asymmetry evolution for different field strengths and driving pressures for each seed field configuration. We find that out of the configurations investigated, a seed field for which the implosion centre is a saddle point in at least one plane exhibits the least degree of asymmetry during implosion. C 2014 AIP Publishing LLC. KAUST Repository[http://dx

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“…Figure 5 shows snapshots of the density field, with magnetic field lines overlaid, at comparable times for L0, L1-32, L2-32, and L6-32 in the x-y plane. The suppression mechanism is the transport of vorticity away from the interface roughly along field lines, as extensively studied previously [11][12][13][14]20,30], by sub-fast MHD waves arising from the shock refraction process as the fast shock system processes the DI.…”

Section: Effect Of Field Symmetrymentioning

confidence: 88%

Magnetohydrodynamic implosion symmetry and suppression of Richtmyer-Meshkov instability in an octahedrally symmetric field

et al. 2017

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Magnetohydrodynamic implosion symmetry and suppression ofRichtmyer-Meshkov instability in an octahedrally symmetric field We present numerical simulations of ideal magnetohydrodynamics showing suppression of the Richtmyer-Meshkov instability in spherical implosions in the presence of an octahedrally symmetric magnetic field. This field configuration is of interest owing to its high degree of spherical symmetry in comparison with previously considered dihedrally symmetric fields. The simulations indicate that the octahedral field suppresses the instability comparably to the other previously considered candidate fields for light-heavy interface accelerations while retaining a highly symmetric underlying flow even at high field strengths. With this field, there is a reduction in the root-mean-square perturbation amplitude of up to approximately 50% at representative time under the strongest field tested while maintaining a homogeneous suppression pattern compared to the other candidate fields. KAUST Repository

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The Magnetohydrodynamic Richtmyer-Meshkov Instability: The Oblique Field Case

Cited by 10 publications

References 10 publications

Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability

Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability

Effects of seed magnetic fields on magnetohydrodynamic implosion structure and dynamics

Magnetohydrodynamic implosion symmetry and suppression of Richtmyer-Meshkov instability in an octahedrally symmetric field

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