30 citations · 72 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
On the relationship between the multi-region relaxed variational principle and resistive inner layer theory
A. Kumar, J. Loizu, M. J. Hole +3
We show that the variational energy principle of multi-region relaxed magnetohydrodynamic (MRxMHD) model can be used to predict finite-pressure linear tearing instabilities. In thi…
Multi-region relaxed Hall magnetohydrodynamics with flow
Manasvi Lingam, Hamdi M. Abdelhamid, Stuart R. Hudson
The recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD) have generalized the famous Woltjer-Taylor states by incorporating a collection of "ideal barriers" th…
Multi-region relaxed magnetohydrodynamics with flow
G. R. Dennis, S. R. Hudson, R. L. Dewar +1
We present an extension of the multi-region relaxed magnetohydrodynamics (MRxMHD) equilibrium model that includes plasma flow. This new model is a generalization of Woltjer's model…
The Infinite Interface Limit of Multiple-Region Relaxed MHD
G. R. Dennis, S. R. Hudson, R. L. Dewar +1
We show the stepped-pressure equilibria that are obtained from a generalization of Taylor relaxation known as multi-region, relaxed MHD (MRXMHD) are also generalizations of ideal M…
Relaxed MHD states of a multiple region plasma
M. J. Hole, R. Mills, S. R. Hudson +1
We calculate the stability of a multiple relaxation region MHD (MRXMHD) plasma, or stepped-Beltrami plasma, using both variational and tearing mode treatments. The configuration st…