Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4047-4060 |
| Number of pages | 14 |
| Journal | Monthly Weather Review |
| Volume | 137 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2009 Nov 1 |
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All Science Journal Classification (ASJC) codes
- Atmospheric Science
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High-order time-integration schemes with explicit time-splitting methods. / Park, Sang Hun; Lee, Tae Young.
In: Monthly Weather Review, Vol. 137, No. 11, 01.11.2009, p. 4047-4060.Research output: Contribution to journal › Article
TY - JOUR
T1 - High-order time-integration schemes with explicit time-splitting methods
AU - Park, Sang Hun
AU - Lee, Tae Young
PY - 2009/11/1
Y1 - 2009/11/1
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.
UR - http://www.scopus.com/inward/record.url?scp=77649332371&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77649332371&partnerID=8YFLogxK
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 -