A k-exact reconstruction-based high-order advection scheme on spherical Voronoi grids achieves high-order accuracy, low sensitivity to grid distortion, and performance comparable to existing MPAS schemes in moist shallow-water simulations.
Miura, An upwind-biased conservative advection scheme for spherical hexagonal–pentagonal grids, Monthly Weather Review 135 (2007) 4038– 4044
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A new high-order finite-volume advection scheme on spherical Voronoi grids and a comparative study in a mimetic finite-volume moist shallow-water model
A k-exact reconstruction-based high-order advection scheme on spherical Voronoi grids achieves high-order accuracy, low sensitivity to grid distortion, and performance comparable to existing MPAS schemes in moist shallow-water simulations.