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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…