30 citations · 45 across the 5 of their papers we have counts for
5 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…
Structure-preserving particle methods for the Landau collision operator using the metriplectic framework
Sandra Jeyakumar, Michael Kraus, Matthew J. Hole +1
We present a novel family of particle discretisation methods for the nonlinear Landau collision operator. We exploit the metriplectic structure underlying the Vlasov-Maxwell-Landau…
A structure-preserving particle discretisation for the Lenard-Bernstein collision operator
Sandra Jeyakumar, Michael Kraus, Matthew Hole +1
Collisions are an important dissipation mechanism in plasmas. In one-dimensional modelling, a commonly used collision operator is the Lenard-Bernstein operator, or its modified ene…
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…