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Space-Time Variable Code Generator and Solver
Currently in FillPatch & FillCoarsePatch, we are still using the built-in AMReX linear interpolation in time.
We should switch to the 4th order interpolation like we did for FillIntermediatePatch.
This applies when we're making a new fine level or remaking an existing fine level.
This change would make sure that when we need to interpolate from coarse to fill a subset of the fine level, we will first interpolate coarse data to 4th order in time, then interpolate in space to fill the fine cells.
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