A new representation of the Coriolis terms on the Arakawa C grid is proposed. The approximation dumps the grid-scale noise that arises because of spatial averaging of the Coriolis terms when the grid spacing is larger than the deformation radius. The proposed approximation can also be applied in C-grid schemes with semi-implicit treatment of the Coriolis terms. The new scheme is analyzed in the context of the linear inertial-gravity waves and its advantageous behavior is demonstrated with respect to the conventional technique.
Monthly Weather Review
Nechaev, D. A.,
(2004). On the Approximation of the Coriolis terms in C-grid Models. Monthly Weather Review, 132(9), 2283-2289.
Available at: https://aquila.usm.edu/fac_pubs/3023