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SUMMARY:Numerical Relaxation of a 3D MHD Taylor-Woltjer State Subject to A
brupt Expansion
DTSTART;VALUE=DATE-TIME:20181025T030000Z
DTEND;VALUE=DATE-TIME:20181025T032000Z
DTSTAMP;VALUE=DATE-TIME:20210307T001500Z
UID:indico-contribution-6046@conferences.iaea.org
DESCRIPTION:Speakers: Rupak Mukherjee (Institute for Plasma Research)\nRup
ak Mukherjee\, Rajaraman Ganesh\nInstitute for Plasma Research\, HBNI\, Ga
ndhinagar\, Gujarat\, India\, 382428.\nganesh@ipr.res.in\nSince the advent
of Taylor-Woltjer theory [1\,2]\, it has been widely believed that situat
ions with perfectly conducting boundaries and near ideal conditions\, the
final state of MHD system would be force-free Taylor-Woltjer states defin
ed as curl B = alpha B with alpha as a constant and B is the magnetic fiel
d defined over a volume V. These states are of fundamental importance in f
usion plasmas [3]. More recently\, several new MHD models have been propos
ed – for example Reduced Multi-region relaxed MHD [4] and arbitrary scal
e relaxation model to Taylor-Woltjer state [5] to mention a few.\n\nIn the
present work\, we use a 3D compressible MHD solver in cartesian geometry
which can handle conducting or periodic as well has mixed boundary conditi
ons to investigate numerically the arbitrary scale relaxation model propos
ed by Qin et al [5]. For this purpose\, we consider two volumes V_init and
V_final. We load the 3D MHD solver in the limit of zero compressibility w
ith a Taylor-Woltjer state B_init(x\,y\,z\,t=0) and let it again a numeric
al evolve with conducting boundaries at V_init to make sure that we have o
btained a numerically steady Taylor-Woltjer state for volume V_init. Follo
wed by this procedure\, we ``suddenly'' relax the boundaries to a new volu
me V_final\, such that V_init < V_final and evaluate whether or not the sy
stem attains quasi-steady state. Details of the numerical method used\, th
e protocol followed\, the expansion technique and the novelty of this nume
rical experiment and details of our results will be presented.\n\n\nRefere
nces\n\n[1] J. B. Taylor\, Phys. Rev. Lett\, 33\, 1139 (1974)\n[2] L. Wolt
jer\, Proc. Nat. Acad. Sci U.S.A \, 44\, 489 (1958)\n[3] J. B. Taylor\, Re
v. Mod. Phys. 58\, 741 (1986)\n[4] S R Hudson et al\, Phys. Plasmas\, 19\,
112502 (2012) \n[5] H. Qin et al\, Phys. Rev. Lett. 109\, 235001 (2012)\n
\nhttps://conferences.iaea.org/event/151/contributions/6046/
LOCATION:Mahatma Mandir Conference Centre
URL:https://conferences.iaea.org/event/151/contributions/6046/
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