142 citations · 242 across the 9 of their papers we have counts for
10 papers
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…
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…
A minimally constrained model of self-organized helical states in reversed-field pinches
G. R. Dennis, S. R. Hudson, D. Terranova +3
We show that the self-organized single-helical-axis (SHAx) and double-helical-axis (DAx) states in reversed field pinches can be reproduced in a minimally constrained equilibrium m…
Computation of multi-region relaxed magnetohydrodynamic equilibria
S. R. Hudson, R. L. Dewar, G. Dennis +4
We describe the construction of stepped-pressure equilibria as extrema of a multi-region, relaxed magnetohydrodynamic (MHD) energy functional that combines elements of ideal MHD an…
Generalised action-angle coordinates defined on island chains
Robert L. Dewar, Stuart R. Hudson, Ashley M. Gibson
Straight-field-line coordinates are very useful for representing magnetic fields in toroidally confined plasmas, but fundamental problems arise regarding their definition in 3-D ge…
Nonaxisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions
S. R. Hudson, R. L. Dewar, M. J. Hole +1
We describe a magnetohydrodynamic (MHD) constrained energy functional for equilibrium calculations that combines the topological constraints of ideal MHD with elements of Taylor re…
Action-gradient-minimizing pseudo-orbits and almost-invariant tori
R. L. Dewar, S. R. Hudson, A. M. Gibson
Transport in near-integrable, but partially chaotic, degree-of-freedom Hamiltonian systems is blocked by invariant tori and is reduced at \emph{almost}-invariant tori, both…
Hamilton--Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity
M. McGann, S. R. Hudson, R. L. Dewar +1
The vanishing of the divergence of the total stress tensor (magnetic plus kinetic) in a neighborhood of an equilibrium plasma containing a toroidal surface of discontinuity gives b…
Unified Theory of Ghost and Quadratic-Flux-Minimizing Surfaces
R. L. Dewar, S. R. Hudson, A. M. Gibson
A generalized Hamiltonian definition of ghost surfaces (surfaces defined by an action-gradient flow) is given and specialized to the usual Lagrangian definition. Numerical calculat…
Are ghost surfaces quadratic-flux-minimizing?
S. R. Hudson, R. L. Dewar
Two candidates for "almost-invariant" toroidal surfaces passing through magnetic islands, namely quadratic-flux-minimizing (QFMin) surfaces and ghost surfaces, use families of peri…