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UID:submissions.pasc-conference.org_PASC24_sess119_msa213@linklings.com
SUMMARY:Development of a Spectral Hybrid Kinetic-MHD Code Using the Van Ka
 mpen Approach
DESCRIPTION:Minisymposium\n\nFabien Jeanquartier (EPFL); Jonathan Graves (
 EPFL, University of York); and Stephan Brunner (EPFL)\n\nMagnetohydrodynam
 ics (MHD) is widely used to study the stability of a given magnetic config
 uration with respect to potentially problematic machine-scale instabilitie
 s. The basic mechanism of these macroscopic modes are well described by th
 is theory. Kinetic effects, through wave-particle interactions, can howeve
 r significantly affect their stability. Some current kinetic-MHD studies e
 stimating these effects rely on a number of assumptions, typically solving
  a drift-kinetic equation semi-analytically, which implies strong limitati
 ons on the type of orbits that can be reproduced by the model. Other codes
  integrate guiding-center orbits numerically in the framework of a Lagrang
 ian approach, which requires less assumptions but strongly increases the c
 omputational requirements. We present a new spectral linear kinetic-MHD co
 de which solves the MHD momentum equation along with an Eulerian discretiz
 ation of the drift-kinetic equation. Following the Van Kampen approach, th
 e problem is expressed as a standard linear generalized eigenvalue problem
  for the MHD displacement as well as the kinetic correction to the perturb
 ed distribution function. The equations are discretized on an effective fi
 ve-dimensional phase space and result in sparse matrices of very large dim
 ension. The challenges associated with solving this eigenvalue problem on 
 a parallel platform are presented as well as first benchmarks in simplifie
 d cylindrical geometry.\n\nDomain: Physics, Computational Methods and Appl
 ied Mathematics\n\nSession Chairs: Stephan Brunner (EPFL); Eric Sonnendrüc
 ker (Max Planck Institute for Plasma Physics, Technical University of Muni
 ch); and Laurent Villard (EPFL)
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