A framework to evaluate IMEX schemes for atmospheric models
<p>We present a new evaluation framework for implicit and explicit (IMEX) Runge–Kutta time-stepping schemes. The new framework uses a linearized nonhydrostatic system of normal modes. We utilize the framework to investigate the stability of IMEX methods and their dispersion and dissipation o...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2020-12-01
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| Series: | Geoscientific Model Development |
| Online Access: | https://gmd.copernicus.org/articles/13/6467/2020/gmd-13-6467-2020.pdf |
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doaj-e5068a9417394458a16840e3733101192020-12-22T12:52:19ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032020-12-01136467648010.5194/gmd-13-6467-2020A framework to evaluate IMEX schemes for atmospheric modelsO. GubaM. A. TaylorA. M. BradleyP. A. BoslerA. Steyer<p>We present a new evaluation framework for implicit and explicit (IMEX) Runge–Kutta time-stepping schemes. The new framework uses a linearized nonhydrostatic system of normal modes. We utilize the framework to investigate the stability of IMEX methods and their dispersion and dissipation of gravity, Rossby, and acoustic waves. We test the new framework on a variety of IMEX schemes and use it to develop and analyze a set of second-order low-storage IMEX Runge–Kutta methods with a high Courant–Friedrichs–Lewy (CFL) number. We show that the new framework is more selective than the 2-D acoustic system previously used in the literature. Schemes that are stable for the 2-D acoustic system are not stable for the system of normal modes.</p>https://gmd.copernicus.org/articles/13/6467/2020/gmd-13-6467-2020.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
O. Guba M. A. Taylor A. M. Bradley P. A. Bosler A. Steyer |
| spellingShingle |
O. Guba M. A. Taylor A. M. Bradley P. A. Bosler A. Steyer A framework to evaluate IMEX schemes for atmospheric models Geoscientific Model Development |
| author_facet |
O. Guba M. A. Taylor A. M. Bradley P. A. Bosler A. Steyer |
| author_sort |
O. Guba |
| title |
A framework to evaluate IMEX schemes for atmospheric models |
| title_short |
A framework to evaluate IMEX schemes for atmospheric models |
| title_full |
A framework to evaluate IMEX schemes for atmospheric models |
| title_fullStr |
A framework to evaluate IMEX schemes for atmospheric models |
| title_full_unstemmed |
A framework to evaluate IMEX schemes for atmospheric models |
| title_sort |
framework to evaluate imex schemes for atmospheric models |
| publisher |
Copernicus Publications |
| series |
Geoscientific Model Development |
| issn |
1991-959X 1991-9603 |
| publishDate |
2020-12-01 |
| description |
<p>We present a new evaluation framework for implicit and explicit (IMEX) Runge–Kutta time-stepping schemes.
The new framework uses a linearized nonhydrostatic system of normal modes.
We utilize the framework to investigate the stability of IMEX methods and their dispersion and dissipation of gravity, Rossby, and acoustic waves.
We test the new framework on a variety of IMEX schemes and
use it to develop and analyze a set of second-order low-storage IMEX Runge–Kutta methods with a high Courant–Friedrichs–Lewy (CFL) number.
We show that the new framework is more selective than the 2-D acoustic system previously used in the literature.
Schemes that are stable for the 2-D acoustic system are not stable for the system of normal modes.</p> |
| url |
https://gmd.copernicus.org/articles/13/6467/2020/gmd-13-6467-2020.pdf |
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1724374278506283008 |