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Multilevel Monte Carlo and control-variate simulation of Coulomb collisions
KTH, School of Electrical Engineering (EES), Fusion Plasma Physics.
KTH, School of Electrical Engineering (EES), Fusion Plasma Physics.ORCID iD: 0000-0002-7142-7103
KTH, School of Electrical Engineering (EES), Fusion Plasma Physics.
(English)Manuscript (preprint) (Other academic)
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:kth:diva-120381OAI: oai:DiVA.org:kth-120381DiVA: diva2:614542
Note

QS 2013

Available from: 2013-04-05 Created: 2013-04-05 Last updated: 2014-01-28Bibliographically approved
In thesis
1. Numerical solution of quasilinear kinetic diffusion equations in toroidal plasmas
Open this publication in new window or tab >>Numerical solution of quasilinear kinetic diffusion equations in toroidal plasmas
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

One of the main challenges for the realization of a working fusion power plant is an increased detailed understanding of kinetic phenomena in toroidal plasmas. The tokamak is a toroidal, magnetically confined plasma device and is currently the main line towards a power plant. The spatial and temporal scales in a tokamak plasma are extreme and the only tractable path for quantitative studies is to rely on computer simulations. Present day simulation codes can resolve only some of these scales. Nevertheless they still require the largest high performance computing (HPC) resources available in the world. In combination with the increase of computational performance, it is therefore necessary to improve the numerical algorithms used in the simulations.

In this thesis we have developed new numerical methods designed for Monte Carlo simulation of plasma kinetic diffusion. Examples are simulation of fast-ion thermalization and radio-frequency heating. The aim has been to reduce the statistical random noise in particle codes, produced by a finite number of particles (or markers). Traditionally the statistical noise is improved by increasing the number of particles (N) or by simulating the perturbation of the distribution (with particles) from a known distribution function. This is the well known δf method. In this thesis we have developed a new type of δf method, which minimizes the number of particles used in a simulation. The computational speedup of the new method is substantial. In this thesis, we have further benchmarked quasi-Monte Carlo techniques that improve the convergence rate from N−1/2 to N−1 for some cases.

In Monte Carlo simulations, error appears also from the time step discretization. Based on the mathematics of operator splitting, a new scheme for the pitch-angle scattering diffusion process has been developed that outperforms the standard methods. Finally this thesis also presents a new code, SELFO-light, for self-consistent simulations of ion cyclotron resonance heating, suitable for routine calculations, which couples a one dimensional Fokker-Planck model with the finite element wave solver LION.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. xiii, 54 p.
Series
Trita-EE, ISSN 1653-5146 ; 2013:012
National Category
Fusion, Plasma and Space Physics
Identifiers
urn:nbn:se:kth:diva-120345 (URN)978-91-7501-697-9 (ISBN)
Public defence
2013-04-26, F3, Lindstedtsvägen 26, KTH, Stockholm, 13:15 (English)
Opponent
Supervisors
Note

QC 20130405

Available from: 2013-04-05 Created: 2013-04-04 Last updated: 2013-04-05Bibliographically approved

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fulltext(146 kB)235 downloads
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Johnson, Thomas

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