2D Field Loop Advection

Background on the problem

For Background and problem setup see ​http://www.astro.virginia.edu/VITA/ATHENA/field-loop.html

And for a movie of what the solution should look like see ​http://www.youtube.com/watch?v=ztaoT1yPloc

Details of test

This test is run in order to verify that the ConstrainedTransport method to evolve magnetic fields is working correctly.

Since this problem should evolve in a well-defined way, any major deviations from this evolution signal a possible bug somewhere in one or more of the integration schemes.

Results

This is determined by the state of the system at the end of the simulation having a relative error with respect to the analytic solution not being greater than 1% .

Reference Chombo	New Chombo
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​Test Log