Monte Carlo method and High Performance Computing for solving Fokker-Planck equation of minority plasma particles

Abstract

This paper explains how to obtain the distribution function of minority ions in tokamak plasmas using the Monte Carlo method. Since the emphasis is on energetic ions, the guiding-center transformation is outlined, including also the transformation of the collision operator. Even within the guiding-center formalism, the fast particle simulations can still be very CPU intensive and, therefore, we introduce the reader also to the world of high-performance computing. The paper is concluded with a few examples where the presented method has been applied.

arXiv commentITER International School 2014

References in corpus (3)

• ASCOT: solving the kinetic equation of minority particle species in tokamak plasmas
• A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields
• Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation

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• Degenerate Variational Integrators for Magnetic Field Line Flow and Guiding Center Trajectories
• The effects of kinetic instabilities on the electron cyclotron emission from runaway electrons
• Performance of the BGSDC integrator for computing fast ion trajectories in nuclear fusion reactors