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If we only allow triangles and quads we get convex polygons, but they are less regular:
TempestRemap
We not note that the TempestRemap package (github link) package uses an algorithm that understands both SE and FV grids (Ullrich & Taylor, MWR 2015) and can produce map files dirctly directly from the CAM-SE Native grid. These mapping files are usually more accurate since they take advantage of the SE discretization. If ACME adopts TempestRemap mapping files, we will not need to use the SE dual grid shown above.
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