Theoretical and numerical studies of gyrokinetic models for shaped Tokamak plasmas
E Zoni - 2019 - mediatum.ub.tum.de
2019•mediatum.ub.tum.de
Gyrokinetics is a fundamental framework for the study of turbulence in magnetized fusion
plasmas. In this thesis, we first propose a new methodology for the derivation of gyrokinetic
models, based on polynomial transforms instead of Lie transforms. Moreover, we present
novel numerical methods for gyrokinetic simulations, including a strategy for the solution of
hyperbolic-elliptic PDEs on 2D singular domains and its implementation in a 4D semi-
Lagrangian field-aligned drift-kinetic code.
plasmas. In this thesis, we first propose a new methodology for the derivation of gyrokinetic
models, based on polynomial transforms instead of Lie transforms. Moreover, we present
novel numerical methods for gyrokinetic simulations, including a strategy for the solution of
hyperbolic-elliptic PDEs on 2D singular domains and its implementation in a 4D semi-
Lagrangian field-aligned drift-kinetic code.
Kurzfassung
Gyrokinetics is a fundamental framework for the study of turbulence in magnetized fusion plasmas. In this thesis, we first propose a new methodology for the derivation of gyrokinetic models, based on polynomial transforms instead of Lie transforms. Moreover, we present novel numerical methods for gyrokinetic simulations, including a strategy for the solution of hyperbolic-elliptic PDEs on 2D singular domains and its implementation in a 4D semi-Lagrangian field-aligned drift-kinetic code.
mediatum.ub.tum.de
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