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.
Godunov, A difference method for numerical calculation of discon- tinuous solutions of the equations of hydrodynamics, Mat
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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.