A framework to evaluate IMEX schemes for atmospheric models
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Abstract. We present a new evaluation framework for implicit and explicit (IMEX) Runge-Kutta timestepping schemes. The new framework uses a linearized nonhydrostatic system of normal modes. We utilize the framework to investigate stability of IMEX methods and their dispersion and dissipation for 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 2nd order low-storage IMEX Runge-Kutta methods with high CFL. We show that the new framework is more selective than the 2D acoustic system previously used in literature. Schemes that are stable for the 2D acoustic system are not stable for the system of normal modes.
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2020 ◽
Vol 34
(05)
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pp. 8131-8138
2005 ◽
Vol 203
(2)
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pp. 386-404
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2018 ◽
Vol 5
(1)
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2020 ◽
Keyword(s):
2014 ◽
Vol 140
(682)
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pp. 1654-1669
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