Topology Conserving Magnetic Field Evolution
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17.12.2017
Affiliation
University of Dundee
Main category
Natural Sciences (Physics)
Alternative category
Natural Sciences (Astrophysics and Astrononmy)
Abstract
Magnetic helicity is a conserved quantity under an ideal evolution. Here we present methods for simulating such topology conserving systems. We make use of Lagrangian grids and mimetic differential operators. It is shown that the magnetic field topology is exactly conserved. This method is then used to study equilibria of configurations like the Hopf fibration.
Further information
Further reading
https://doi.org/10.1137/140967404 https://arxiv.org/abs/1405.0942 https://doi.org/10.1088/0004-637X/808/2/134 https://arxiv.org/abs/1505.03043 https://doi.org/10.1063/1.4990076 https://arxiv.org/abs/1610.04719
Language
English
DOI
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