Magnetic Fluctuations in Gyrokinetic Simulations of Tokamak Scrape-Off Layer Turbulence
arXiv:2103.16062
Abstract
Understanding turbulent transport physics in the tokamak edge and scrape-off layer (SOL) is critical to developing a successful fusion reactor. The dynamics in these regions plays a key role in achieving high fusion performance by determining the edge pedestal that suppresses turbulence in H-mode. Additionally, the survivability of a reactor is set by the heat load to the vessel walls, making it important to understand turbulent spreading of heat as it flows along open magnetic field lines in the SOL. Large-amplitude fluctuations, magnetic X-point geometry, and plasma interactions with material walls make simulating turbulence in the edge/SOL more challenging than in the core region, necessitating specialized gyrokinetic codes. Further, the inclusion of electromagnetic effects in gyrokinetic simulations that can handle the unique challenges of the boundary plasma is critical to the understanding of phenomena such as the pedestal and ELMs, for which electromagnetic dynamics are expected to be important. In this thesis, we develop the first capability to simulate electromagnetic gyrokinetic turbulence on open magnetic field lines. This is an important step towards comprehensive electromagnetic gyrokinetic simulations of the coupled edge/SOL system. By using a continuum full-f approach via an energy-conserving discontinuous Galerkin (DG) discretization scheme that avoids the Ampere cancellation problem, we show that electromagnetic fluctuations can be handled in a robust, stable, and efficient manner in the gyrokinetic module of the Gkeyll code. We then present results which roughly model the scrape-off layer of the National Spherical Torus Experiment (NSTX), and show that electromagnetic effects can affect blob dynamics and transport. We also formulate the gyrokinetic system in field-aligned coordinates for modeling realistic edge and scrape-off layer geometries in experiments.
arXiv commentPrinceton University PhD thesis, 274 pages
References in corpus (22)
- The serendipity family of finite elements
- Discontinuous Galerkin algorithms for fully kinetic plasmas
- ORB5: a global electromagnetic gyrokinetic code using the PIC approach in toroidal geometry
- Experimental validation of a filament transport model in turbulent magnetized plasmas
- A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm
- Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry
- Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma
- Electromagnetic full- gyrokinetics in the tokamak edge with discontinuous Galerkin methods
- Laguerre-Hermite Pseudo-Spectral Velocity Formulation of Gyrokinetics
- Continuum Kinetic and Multi-Fluid Simulations of Classical Sheaths
- Constructing a new predictive scaling formula for ITER's divertor heat-load width informed by a simulation-anchored machine learning
- A gyrokinetic model for the plasma periphery of tokamak devices
- The influence of temperature dynamics and dynamic finite ion Larmor radius effects on seeded high amplitude plasma blobs
- Velocity shear, turbulent saturation, and steep plasma gradients in the scrape-off layer of inner-wall limited tokamaks
- Full- gyrokinetic simulation of turbulence in a helical open-field-line plasma
- A Singularity-Free Coordinate System for X-point Geometries
- Gyrokinetic Equations for Strong-Gradient Regions
- Gyrokinetic Continuum Simulation of Turbulence in Open-Field-Line Plasmas
- A novel flexible field-aligned coordinate system for tokamak edge plasma simulation
- A very general electromagnetic gyrokinetic formalism
- Discontinuous Galerkin schemes for a class of Hamiltonian evolution equations with applications to plasma fluid and kinetic problems
- Outflow Positivity Limiting for Hyperbolic Conservation Laws. Part I: Framework and Recipe
Cited by in corpus (4)
- Kinetic modeling of neutral transport for a continuum gyrokinetic code
- Turbulent broadening of electron heat-flux width in electromagnetic gyrokinetic simulations of a helical scrape-off layer model
- Turbulent field fluctuations in gyrokinetic and fluid plasmas
- Mapped discontinuous Galerkin interpolations and sheared boundary conditions