papers

Publications (7)

physics.plasm-ph2024

Fast particle trajectories and integrability in quasiaxisymmetric and quasihelical stellarators

Amelia Chambliss, Elizabeth Paul, Stuart Hudson

Even if the magnetic field in a stellarator is integrable, phase-space integrability for energetic particle guiding center trajectories is not guaranteed. Both trapped and passing…

physics.plasm-ph2024

Constructing nested coordinates inside strongly shaped toroids using an action principle

Zeno Tecchiolli, Stuart Hudson, Joaquim Loizu +3

A new approach for constructing polar-like boundary-conforming coordinates inside a toroid with strongly shaped cross-sections is presented. A coordinate mapping is obtained throug…

math.NA2023

An efficient method for the anisotropic diffusion equation in magnetic fields

Dean Muir, Kenneth Duru, Matthew Hole +1

We solve the anisotropic diffusion equation in 2D, where the dominant direction of diffusion is defined by a vector field which does not conform to a Cartesian grid. Our method use…

physics.plasm-ph2024

Structure of pressure-gradient-driven current singularity in ideal magnetohydrodynamic equilibrium

Yi-Min Huang, Yao Zhou, Joaquim Loizu +2

Singular currents typically appear on rational surfaces in non-axisymmetric ideal magnetohydrodynamic equilibria with a continuum of nested flux surfaces and a continuous rotationa…

math.NA2026

A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields: Curvilinear coordinates and multi-block domains

Dean Muir, Kenneth Duru, Stuart Hudson +1

We present a robust and accurate numerical method for the anisotropic diffusion equation in curvilinear coordinates. This study extends the recent work [Muir et al., Computer Physi…

cs.LG2025

ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks

Santiago A. Cadena, Andrea Merlo, Emanuel Laude +8

Stellarators are magnetic confinement devices under active development to deliver steady-state carbon-free fusion energy. Their design involves a high-dimensional, constrained opti…