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DTSTAMP:20260421T090513Z
LOCATION:Bldg. 6 - Room 003
DTSTART;TZID=Europe/Stockholm:20260701T093000
DTEND;TZID=Europe/Stockholm:20260701T100000
UID:submissions.pasc-conference.org_PASC26_sess150_msa131@linklings.com
SUMMARY:Theoretical and computational aspects of the ideal MHD equilibrium
  free-boundary problem
DESCRIPTION:Robert Köberl, Dean Muir, Florian Hindenlang, Omar Maj, and Ro
 bert Babin (Max Planck Institute for Plasma Physics)\n\nIn the ideal MHD e
 quilibrium free-boundary problem, a plasma equilibrium is found which is c
 onsistent with a given background magnetic field. This background magnetic
  field replaces the fixed last closed flux surface, which is typically use
 d in fixed-boundary equilibria, as a constraint. Free-boundary equilibria 
 are relevant, for example, in equilibrium reconstruction or when studying 
 finite pressure effects on optimised stellarator configurations. In this t
 alk we discuss our approach to extend the ideal MHD equilibrium code GVEC 
 with free-boundary capabilities. To obtain a valid free-boundary solution 
 two core conditions have to be met; First, we require that the plasma boun
 dary is a flux surface. Second, force-balance between the region inside an
 d outside the plasma has to be achieved. This force balance couples the to
 tal magnetic field inside the plasma to the one outside of it together wit
 h the pressure. We will present computational approaches to move from an i
 nitial guess for the equilibrium towards a solution that satisfies both co
 nditions. For the special vacuum case, i.e., neither pressure nor toroidal
  current are present, the equilibrium magnetic field configuration can be 
 compared to the one obtained from field-line tracing of the background mag
 netic field. Hence, validation of computational approaches can be performe
 d.\n\nDomain: Physics, Computational Methods and Applied Mathematics\n\nSe
 ssion Chairs: Florian Hindenlang (Max Planck Institute for Plasma Physics)
 ; Stephan Brunner (EPFL); and Eric Sonnendrücker (Max Planck Institute for
  Plasma Physics, Technical University of Munich)\n\n
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