TY - JOUR
T1 - High-order time-integration schemes with explicit time-splitting methods
AU - Park, Sang Hun
AU - Lee, Tae Young
PY - 2009/11
Y1 - 2009/11
N2 - New high-order time-integration schemes for fully elastic models are presented. The new schemes, for- mulated using the Richardson extrapolation that employs leapfrog-type schemes, can give a good performance for linear model problems and ensure overall stability when they are combined with a forward-backward scheme for fast waves. The new and existing schemes show differences in the order of accuracy. Thus, they can be useful for investigating the impacts of time-integration scheme accuracy on the performance of numerical models. The high-order schemes are found to play an important role in the improvement of high-resolution simulations, according to idealized tests. The new schemes are less efficient than other well-known schemes at moderate spatial resolutions. However, the new schemes can be more efficient than the existing schemes when the resolution becomes very high.
AB - New high-order time-integration schemes for fully elastic models are presented. The new schemes, for- mulated using the Richardson extrapolation that employs leapfrog-type schemes, can give a good performance for linear model problems and ensure overall stability when they are combined with a forward-backward scheme for fast waves. The new and existing schemes show differences in the order of accuracy. Thus, they can be useful for investigating the impacts of time-integration scheme accuracy on the performance of numerical models. The high-order schemes are found to play an important role in the improvement of high-resolution simulations, according to idealized tests. The new schemes are less efficient than other well-known schemes at moderate spatial resolutions. However, the new schemes can be more efficient than the existing schemes when the resolution becomes very high.
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U2 - 10.1175/2009MWR2885.1
DO - 10.1175/2009MWR2885.1
M3 - Article
AN - SCOPUS:77649332371
VL - 137
SP - 4047
EP - 4060
JO - Monthly Weather Review
JF - Monthly Weather Review
SN - 0027-0644
IS - 11
ER -