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todo

-              v3
+              v4
 JC - Another option is to increase the transition radius for the magnetic field from r_p/2 to closer to r_p.  This will take a little calculus to make sure it is done correctly... see https://astrobear.pas.rochester.edu/trac/blog/johannjc06302015 for the equations currently implemented in the problem module.  In terms of increasing the resolution - you may be able to just add additional levels of AMR - would need to see plots of the mesh (sliced through the midplane) with density overlayed to see how it is currently refined.
 I believe just increasing the resolution should be ok - higher resolution is forced out to about 4R,,p,,, and it doesn't seem to want to resolve a ton outside of that, so shouldn't increase computational time more than necessary. Here's a slice near the midplane:
+I believe just increasing the resolution should be ok - higher resolution is forced out to about 4R,,p,,, and it doesn't seem to want to resolve a ton outside of that, so shouldn't increase computational time more than necessary. Here's a slice near the midplane, zoomed in a bit:
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