Coupling of sausage, kink, and magnetoRayleighTaylor instabilities in a cylindrical liner
Abstract
This paper analyzes the coupling of magnetoRayleighTaylor (MRT), sausage, and kink modes in an imploding cylindrical liner, using ideal MHD. A uniform axial magnetic field of arbitrary value is included in each region: liner, its interior, and its exterior. The dispersion relation is solved exactly, for arbitrary radial acceleration (g), axial wavenumber (k), azimuthal mode number (m), liner aspect ratio, and equilibrium quantities in each region. For small k, a positive g (inward radial acceleration in the lab frame) tends to stabilize the sausage mode, but destabilize the kink mode. For large k, a positive g destabilizes both the kink and sausage mode. Using the 1DHYDRA simulation results for an equilibrium model that includes a preexisting axial magnetic field and a preheated fuel, we identify several stages of MRTsausagekink mode evolution. We find that the m = 1 kinkMRT mode has a higher growth rate at the initial stage and stagnation stage of the implosion, and that the m = 0 sausageMRT mode dominates at the main part of implosion. This analysis also sheds light on a puzzling feature in Harris' classic paper of MRT [E. G. Harris, Phys. Fluids 5, 1057 (1962)]. An attempt is made to interpret the persistence of the observedmore »
 Authors:
 Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 481092104 (United States)
 Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States)
 Publication Date:
 OSTI Identifier:
 22408218
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCELERATION; ASPECT RATIO; COMPUTERIZED SIMULATION; CYLINDRICAL CONFIGURATION; DISPERSION RELATIONS; EXACT SOLUTIONS; IMPLOSIONS; KINK INSTABILITY; LINERS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; RAYLEIGHTAYLOR INSTABILITY; THERMONUCLEAR FUELS
Citation Formats
Weis, M. R., Zhang, P., Lau, Y. Y., Email: yylau@umich.edu, Gilgenbach, R. M., Schmit, P. F., Peterson, K. J., and Hess, M. Coupling of sausage, kink, and magnetoRayleighTaylor instabilities in a cylindrical liner. United States: N. p., 2015.
Web. doi:10.1063/1.4915520.
Weis, M. R., Zhang, P., Lau, Y. Y., Email: yylau@umich.edu, Gilgenbach, R. M., Schmit, P. F., Peterson, K. J., & Hess, M. Coupling of sausage, kink, and magnetoRayleighTaylor instabilities in a cylindrical liner. United States. doi:10.1063/1.4915520.
Weis, M. R., Zhang, P., Lau, Y. Y., Email: yylau@umich.edu, Gilgenbach, R. M., Schmit, P. F., Peterson, K. J., and Hess, M. Sun .
"Coupling of sausage, kink, and magnetoRayleighTaylor instabilities in a cylindrical liner". United States.
doi:10.1063/1.4915520.
@article{osti_22408218,
title = {Coupling of sausage, kink, and magnetoRayleighTaylor instabilities in a cylindrical liner},
author = {Weis, M. R. and Zhang, P. and Lau, Y. Y., Email: yylau@umich.edu and Gilgenbach, R. M. and Schmit, P. F. and Peterson, K. J. and Hess, M.},
abstractNote = {This paper analyzes the coupling of magnetoRayleighTaylor (MRT), sausage, and kink modes in an imploding cylindrical liner, using ideal MHD. A uniform axial magnetic field of arbitrary value is included in each region: liner, its interior, and its exterior. The dispersion relation is solved exactly, for arbitrary radial acceleration (g), axial wavenumber (k), azimuthal mode number (m), liner aspect ratio, and equilibrium quantities in each region. For small k, a positive g (inward radial acceleration in the lab frame) tends to stabilize the sausage mode, but destabilize the kink mode. For large k, a positive g destabilizes both the kink and sausage mode. Using the 1DHYDRA simulation results for an equilibrium model that includes a preexisting axial magnetic field and a preheated fuel, we identify several stages of MRTsausagekink mode evolution. We find that the m = 1 kinkMRT mode has a higher growth rate at the initial stage and stagnation stage of the implosion, and that the m = 0 sausageMRT mode dominates at the main part of implosion. This analysis also sheds light on a puzzling feature in Harris' classic paper of MRT [E. G. Harris, Phys. Fluids 5, 1057 (1962)]. An attempt is made to interpret the persistence of the observed helical structures [Awe et al., Phys. Rev. Lett. 111, 235005 (2013)] in terms of nonaxisymmetric eigenmode.},
doi = {10.1063/1.4915520},
journal = {Physics of Plasmas},
number = 3,
volume = 22,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}

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