MHD Example

[lukem12345]

I derived and implemented a vorticity-based formulation of magnetohydrodynamics for Matt which was then pair-programmed. This current script is based off a copy-paste of my vorticity-based solver of Navier-Stokes. The reference for the usual formulation of the ideal MHD equations was Gillespie’s paper on the subject.

We should specify some initial conditions to demonstrate interesting dynamics, possibly one of the test cases considered by Gillespie.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 66.77%. Comparing base (e6ff9e9) to head (868964f).
Report is 4 commits behind head on main.

Additional details and impacted files

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- Coverage   66.92%   66.77%   -0.16%     
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+ Hits          429      430       +1     
- Misses        212      214       +2     

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[jpfairbanks]

This paper is cited by Gillespie and has more numerical scenarios to model. https://arxiv.org/abs/1707.03227

[lukem12345]

For completion's sake, this is a sophisticated FEEC model of magnetic advection-diffusion with finite volume conservation laws for the fluid https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/126185/eth-49726-02.pdf