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Püschel, Moritz Johannes: Electromagnetic effects in gyrokinetic simulations of plasma turbulence. 2009
Inhalt
Introduction -- Nuclear Fusion
Fusion Reactions
Astrophysical Fusion Processes
Power Plants: Deuterium and Tritium
Magnetic Confinement Research
Tokamak and Stellarator
Fusion Experiments
The Need for an Emission-Free Energy Source
The Global Energy Situation
Environmental and Safety Aspects of Fusion
Simulation of Fusion Plasmas
Thesis Outline
Gyrokinetics and the GENE Code
Gyrokinetic Theory
Lagrangian and One-Form
Lie Transform
The Gyrokinetic Vlasov Equation
The Gyrokinetic Field Equations
Flux Tube Geometry
General Geometry
s-alpha Flux Tubes
The GENE Code
Normalization of the Equations
Time Stepping Schemes
Coordinates and Parallelization
The Eigenvalue Solver
Chapter Summary
Visualization of Simulation Results
The GENE Diagnostics Tool
Structure of the Diagnostics Tool
Built-in Diagnostics
Additional Diagnostics
The RZG VisualKit
Technology
GENE Data Sets
Limitations and Further Requirements
Chapter Summary
Numerical Diffusion in GENE
Finite Difference Schemes
Centered and Upwind First Derivatives
Higher Derivatives
Parallel Dissipation
A Simplified Model
Occurrence of High-k-parallel Modes
The Impact of Upwind Schemes and Diffusion Terms
Recurrence Phenomena
Decaying Zonal Flows
Velocity Space Diffusion
Treatment of Parallelly Extended Modes
The Extended Ballooning Representation
Radial Diffusion Term
An Application: the ETG Benchmark
Benchmark Parameters
Impact of the Parallel Diffusion Term
Chapter Summary
Electromagnetic Cyclone Base Case
The Normalized Plasma Pressure Beta
Definition and Significance
Experimental Findings
The Cyclone Base Case
Physical Parameter Set
The ITM Benchmark Effort
Previous Electromagnetic Work
Code-Code Comparisons
Linear Results
Numerical Settings
A Linear Beta Scan
Properties of the Kinetic Ballooning Mode
Mode Transformations and Exceptional Points
Nonlinear Beta Scan
Turbulence Regimes
Transport Levels
Chapter Summary
Electromagnetic TEM Turbulence
The Parameter Set
Linear Behavior
Linear Beta Scan
The KBM Threshold
Nonlinear Results
Nonlinear Beta Scan
Transport Levels
Chapter Summary
Properties of Magnetic Turbulence
A Model for the Magnetic Transport
The Rechester-Rosenbluth Model
Phase Relations and Beta Scaling
Application to CBC Simulations
Modeling Magnetic TEM Transport
Field Line Fluctuations
Fast Ions in Turbulent Electromagnetic Fields
Background
Passive Fast Ion Simulations
Effects of Realistic Geometry
Modeling a JET Discharge
Transport Levels
Dimits Shift
Chapter Summary
Application to Astrophysical Scenarios
Gyrokinetics on Astrophysical Scales
Galactic Cooling Flows
Motivation and Previous Investigations
Applying GENE Results to Cooling Flows
Evaporating Clouds
General Picture and Previous Work
Application of GENE Data
Chapter Summary
Conclusions
Summary
Future Investigations
Acknowledgments
Bibliography