3 papers
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…
physics.plasm-ph2026
Relaxed magnetohydrodynamics with cross-field flow
Arash Tavassoli, Stuart R. Hudson, Zhisong Qu +1
The phase-space Lagrangian model of Dewar et al. (Phys. Plasmas 27, 062507, 2020) provides a framework for incorporating cross-field flow into relaxed equilibria while retaining id…
physics.plasm-ph2025
Near-ideal relaxed MHD in slab geometry
Arash Tavassoli, Stuart R. Hudson, Zhisong Qu +1
We investigate the solutions of the relaxed MHD model (RxMHD) of Dewar \& Qu [J. Plasma Phys. {\bf 88}, 835880101 (2022)]. This model generalizes Taylor relaxation by including the…