102 citations · 377 across the 20 of their papers we have counts for
20 papers
A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields
Dean Muir, Kenneth Duru, Matthew Hole +1
We present a novel numerical method for solving the anisotropic diffusion equation in magnetic fields confined to a periodic box which is accurate and provably stable. We derive en…
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…
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…
On the non-existence of stepped-pressure equilibria far from symmetry
Z. S. Qu, S. R. Hudson, R. L. Dewar +2
The Stepped Pressure Equilibrium Code (SPEC) [Hudson et al., Phys. Plasmas 19, 112502 (2012)] has been successful in the construction of equilibria in 3D configurations that contai…
Adjoint methods for quasisymmetry of vacuum fields on a surface
Richard Nies, Elizabeth J. Paul, Stuart R. Hudson +1
Adjoint methods can speed up stellarator optimisation by providing gradient information more efficiently compared to finite-difference evaluations. Adjoint methods are herein appli…
Numerical study of -function current sheets arising from resonant magnetic perturbations
Yi-Min Huang, Stuart R. Hudson, Joaquim Loizu +2
General three-dimensional toroidal ideal magnetohydrodynamic equilibria with a continuum of nested flux surfaces are susceptible to forming singular current sheets when resonant pe…