MHD modifications and boundary conditions

I'm working on a plasma problem that involves MHD flow between two electrodes with a fixed voltage between the electrodes driving a constant current. It looks like Trixi would potentially be a very good tool for the problem, I'm just trying to estimate how much work I would need to put in to get it working. The hurdles I see right now are:

1) Accounting for finite resistivity in the plasma.

2) Applying boundary conditions to enforce the constant voltage.

The first one seems like a reasonable extension of the existing MHD implementation. The second one is more of a question for me. I haven't been able to think of any clever boundary conditions that would enforce the constant voltage. Recasting the equations in terms of potentials instead of fields is an option, but sounds like a heavy lift.

Curious what everybody thinks, let me know.

Start by reviewing Trixi's existing MHD implementation and how its boundary conditions are represented. Determine whether finite resistivity and fixed-voltage conditions can be specified within those existing entry points; the issue does not name files or tests, and completion criteria remain to be agreed.

Written by the indexing model from the issue text.