TY - GEN

T1 - Influence of a seed magnetic field on the imploding cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics

AU - Mostert, W.

AU - Wheatley, V.

AU - Samtaney, Ravindra

AU - Pullin, D. I.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We investigate the behaviour of the ideal magnetohydrody-namic (MHD) Richtmyer-Meshkov instability (RMI) in two-dimensional implosions under the influence of uniform- and saddle-topology seed magnetic fields. The RMI is a hydrody-namic instability that, along with the Rayleigh-Taylor instability, greatly limits the operating parameters of inertial confinement fusion (ICF), a technology that has recently seen much interest for its potential for energy production. The instability arises when a perturbed density interface is impulsively accelerated, for example by a shock wave, causing the perturbations on the interface to grow as a result of baroclinic vorticity generation. Here we present case studies of the MHD RMI in converging two-dimensional geometry, in the presence of uniform- and saddle-topology seed fields. We examine the shock refraction process, identifying the waves that result from it, and determine the growth rate of the RMI, comparing it to its behaviour in the converging hydrodynamic (no-field) case. We drive the incident shocks with a Riemann problem, and examine the RMI under various perturbation wavenumbers and seed field strengths. The shock refraction processes produce a collection of fast and sub-fast MHD shock waves which carry vorticity along and away from the interface perturbations, depending on the local field orientation to the interface, supressing the instability but leading to slightly irregular perturbation shapes. These results encourage further research on the MHD RMI in converging flows, with a strong potential for application to ICF experiments.

AB - We investigate the behaviour of the ideal magnetohydrody-namic (MHD) Richtmyer-Meshkov instability (RMI) in two-dimensional implosions under the influence of uniform- and saddle-topology seed magnetic fields. The RMI is a hydrody-namic instability that, along with the Rayleigh-Taylor instability, greatly limits the operating parameters of inertial confinement fusion (ICF), a technology that has recently seen much interest for its potential for energy production. The instability arises when a perturbed density interface is impulsively accelerated, for example by a shock wave, causing the perturbations on the interface to grow as a result of baroclinic vorticity generation. Here we present case studies of the MHD RMI in converging two-dimensional geometry, in the presence of uniform- and saddle-topology seed fields. We examine the shock refraction process, identifying the waves that result from it, and determine the growth rate of the RMI, comparing it to its behaviour in the converging hydrodynamic (no-field) case. We drive the incident shocks with a Riemann problem, and examine the RMI under various perturbation wavenumbers and seed field strengths. The shock refraction processes produce a collection of fast and sub-fast MHD shock waves which carry vorticity along and away from the interface perturbations, depending on the local field orientation to the interface, supressing the instability but leading to slightly irregular perturbation shapes. These results encourage further research on the MHD RMI in converging flows, with a strong potential for application to ICF experiments.

UR - http://www.scopus.com/inward/record.url?scp=84959115156&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84959115156

T3 - Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014

BT - Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014

PB - Australasian Fluid Mechanics Society

T2 - 19th Australasian Fluid Mechanics Conference, AFMC 2014

Y2 - 8 December 2014 through 11 December 2014

ER -