[Users] Non-subcylcing AMR

[Steven R. Brandt]

I'm wondering what it would take to get nonsubcycling AMR.

I think this capability would be very valuable, as it would open up the 
possibility of doing elliptic solves on each time step (which is 
something I need to do).

It would also make adaptive time steps easier (something else I need).

Finally, it would help with another problem which I might be able to fix 
by restructuring.

My update equation computes the second derivative of a variable, and 
then syncs it so that I have the second derivative everywhere. Even 
though a sync is called after the derivative is computed, the ghost 
zones don't get filled in, and even if they did I'm not sure the values 
that Carpet would compute would make sense (as the data would have to 
come by prolongation). If we had a nonsubcycling AMR, I could sync 
whenever I wanted to within an evolution step and not worry about time 
levels. I may be able to fix this problem by restructuring the code, but 
I know I need nonsubcycling in the long run anyway.

How hard would it be to teach Carpet how to do this? How hard would it 
be for me to learn the relevant parts of Carpet to do this?

Cheers,
Steve