Topology conserving magnetic field relaxation using mimetic derivatives

by Simon Candelaresi (University of Glasgow)

Tuesday 2 Nov 2021, 15:00 → 16:00 Europe/Stockholm

https://stockholmuniversity.zoom.us/j/940229961

To study the ideal evolution, particularly the relaxation, of a magnetic field in a plasma, like in our Sun, we require a numerical method that is non-dissipative. Because Eulerian finite difference codes have numerical dissipation, we present a Lagrangian approach that is topology conserving and makes use of mimetic spatial derivatives. Compared to traditional finite difference derivatives, using mimetic derivatives we are able to reduce errors significantly. With that we can study the ideal relaxation of magnetic fields and present a few applications relevant to solar physics and fusion devices.

Candelaresi_2021-Nov-2.mp4