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TempestRemap is a conservative, consistent and monotone remapping package for arbitrary grid geometry with support for finite volumes and finite elements.
(Link) Paul A. Ullrich and Mark A. Taylor (2015) "Arbitrary-Order Conservative and Consistent Remapping and a Theory of Linear Maps: Part 1." Mon. Wea. Rev., 143, 2419–2440, doi: 10.1175/MWR-D-14-00343.1
(Link) Paul A. Ullrich, Darshi Devendran and Hans Johansen (2016) "Arbitrary-Order Conservative and Consistent Remapping and a Theory of Linear Maps, Part 2." Mon. Weather Rev., 144, 1529-1549, doi: 10.1175/MWR-D-15-0301.1.
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