Has there been any sort of study of AMR versus a uniform grid in ASPECT vis-a-vis the number of iterations for a given tolerance when one uses *IMPES*? I’m responding to this request from a reviewer with regards to when we *only* use AMR on an interface, which is being tracked with the Volume-of-Fluid interface tracking algorithm.

A more quantitative analysis should be carried out which analyzes the benefit of

AMR. In other words for a given tolerance, how many iterations are required for

solving~(32) and~(33)? with AMR? without AMR?

A grid refinement study should be carried out with / without AMR acceleration.

Jon Robey has made the computations with AMR and on a uniform grid where the uniform grid size h is the minimum size, say h_{min} allowed for the AMR algorithm and for AMR the entire interface is refined on a grid of (square) cells of size h_{min}.

We measured the wall clock time