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SUMMARY:Computation of three-dimensional MHD equilibria with current sheet
 s and magnetic islands
DTSTART:20150615T103000
DTSTAMP:20260509T234316Z
UID:bf6c6fbcec6e084aaf6fd6b62b3da5423c67e2ef163c81e4b27886f0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. J. Loizu\, Max Planck Princeton Center for Plasma Physics\
 , USA\nThe theory and numerical computation of three-dimensional MHD equil
 ibria is of fundamental importance for understanding the behaviour of both
  magnetically confined fusion and astrophysical plasmas. In particular\, i
 deal MHD predicts the existence of singular current densities forming at r
 ational surfaces in three-dimensional equilibria with nested surfaces\, th
 us making non-smooth solutions ubiquitous to the 3D MHD problem. These cur
 rent sheets play a crucial role in the describing (1) the plasma response 
 to non-axisymmetric boundary perturbations\, (2) the ideal and resistive s
 tability of magnetically confined plasmas\, and (3) the dynamics of reconn
 ection phenomena\, such as sawteeth.\nWhile analytical formulations have b
 een developed to describe such currents in simplified geometries\, a numer
 ical proof of their existence has been hampered by the assumption of smoot
 h functions made in conventional MHD equilibrium models such as VMEC. Rece
 ntly\, a theory based on a generalized energy principle\, referred to as m
 ulti-region\, relaxed MHD (MRxMHD)\, was developed and incorporates the po
 ssibility of non-smooth solutions to the MHD equilibrium problem.\nUsing S
 PEC\, a nonlinear implementation of MRxMHD\, we provide the first numerica
 l proof of their mutual existence [1] and a novel theoretical guideline fo
 r the numerical computation of three-dimensional ideal MHD equilibria with
  current sheets [2].\n[1] J. Loizu\, S. Hudson\, A. Bhattacharjee and P. H
 elander\, Phys. Plasmas 22 022501 (2015)\n[2] J. Loizu\, S. Hudson\, A. Bh
 attacharjee and P. Helander\, submitted (2015)
LOCATION:PPB 019
STATUS:CONFIRMED
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