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DTSTART;TZID=Europe/Stockholm:20190613T164500
DTEND;TZID=Europe/Stockholm:20190613T171500
UID:submissions.pasc-conference.org_PASC19_sess141_msa183@linklings.com
SUMMARY:Novel Semi‐Lagrangian Algorithms for Gyrokinetics in Realist
 ic Tokamak Geometries Including the Magnetic Axis
DESCRIPTION:Minisymposium\nPhysics\n\nNovel Semi‐Lagrangian Algorith
 ms for Gyrokinetics in Realistic Tokamak Geometries Including the Magnetic
  Axis\n\nZoni, Güçlü\n\nMany gyrokinetic codes are based on structured log
 ical meshes conformal to the magnetic field flux surfaces and face the com
 putational challenge of solving the gyrokinetic equations in singular doma
 ins, such as complex-shaped poloidal planes of realistic Tokamak devices. 
 We present a robust and rigorous strategy for dealing with the most common
  situation of disk-like domains with a singularity at a unique pole, where
  one edge of the rectangular logical domain is collapsed into one point of
  the physical domain (e.g. a circle). We describe a semi-Lagrangian advect
 ion solver that employs a new set of coordinates to integrate the characte
 ristic equations in such singular domains and a finite element Poisson sol
 ver based on high-order splines with C^1 smoothness at the singular point.
  We test our strategies on the 2D guiding-center model for a magnetized pl
 asma, where we observe high-order rate of convergence in the spatial discr
 etization parameters, uniformly across the whole domain, with no order red
 uction due to the singularity. Moreover, we show how to apply our strategi
 es in the context of PIC methods and comment on the extension of our techn
 iques to higher-dimensional gyrokinetic codes, discussing challenges and f
 irst steps towards a parallel implementation.
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