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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October 2015
Research Article|
October 06 2015
Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability
W. Mostert
;
W. Mostert
1School of Mechanical and Mining Engineering,
University of Queensland
, Queensland 4072, Australia
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V. Wheatley;
V. Wheatley
1School of Mechanical and Mining Engineering,
University of Queensland
, Queensland 4072, Australia
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R. Samtaney;
R. Samtaney
2Mechanical Engineering,
King Abdullah University of Science and Technology
, Thuwal, Saudi Arabia
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D. I. Pullin
D. I. Pullin
3Graduate Aeronautical Laboratories, 301-46,
California Institute of Technology
, Pasadena, California 91125, USA
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Physics of Fluids 27, 104102 (2015)
Article history
Received:
June 29 2015
Accepted:
September 17 2015
Citation
W. Mostert, V. Wheatley, R. Samtaney, D. I. Pullin; Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability. Physics of Fluids 1 October 2015; 27 (10): 104102. https://doi.org/10.1063/1.4932110
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