| On the longitudinal smoothing of the tendency fields in the eight-layer hemispheric PE model (HEMPEP/8) - :12439 | National Weather Service (NWS)
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On the longitudinal smoothing of the tendency fields in the eight-layer hemispheric PE model (HEMPEP/8)
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    "In a latitude-longitude coordinate system, with the mathematical pole located at the geographic pole, the convergence of the meridians (as one moves northward) brings the grid points sufficiently close together that the CFL linear stability criterion (1) [delta]x/[delta]t > c ([delta]x = r cos [delta][lambda]) becomes impossible to satisfy without an inordinately short time step [delta]t. A number of solutions to this problem have been proposed which fall into two broad categories: 1) one may simply delete grid points from the grid as one moves north (Kurihara, (2)) such as to maintain an approximate constancy to the geographic distance between grid points or 2) one may perform some sort of smoothing to either the data fields or the tendency fields to suppress the growth of CFL unstable waves" - Page 1.

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