Feasibility of using the sixth order scheme is two-folds: 1) drastic error
reduction, and 2) no drastic CPU time increase. We use four quantities to
compare the errors: the maximum peak error velocity during the 10 day
integration (V
), the averaged peak error velocity during 5-10 day
integration (V
), the maximum peak error pressure gradient during the 10
day integration (PG), and the averaged peak error pressure gradient
during 5-10 day integration (PG). V (or PG) indicates the
maximum error during the geostrophic adjustment stage, and V (or
PG) shows the mean error after the adjustment. Usually, V
V, and PGPG
The performance of each scheme is listed in Table 1.