Monotone and conservative Cascade Remapping between Spherical grids (CaRS): Regular latitude-longitude and cubed-sphere grids

A high-order monotone and conservative Cascade Remapping algorithm between Spherical grids (CaRS) is developed. This algorithm is specifically designed to remap between the cubed-sphere and regular latitude-longitude grids. The remapping approach is based on the conservative cascade method in which a two-dimensional remapping problem is split into two one-dimensional problems. This allows for easy implementation of high-order sub-grid-cell reconstructions as well as the application of advanced monotone filters. The accuracy of CaRS is assessed by remapping analytic fields from the regular latitude-longitude grid to the cubed-sphere grid. In terms of standard error measures, CaRS is found to be competitive compared to an existing algorithm when regridding from a fine to a coarse grid and more accurate when regridding from a coarse to a fine grid.