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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Preprints
https://doi.org/10.5194/gmd-2020-178
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-2020-178
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

  23 Jul 2020

23 Jul 2020

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This preprint is currently under review for the journal GMD.

A framework to evaluate IMEX schemes for atmospheric models

Oksana Guba, Mark A. Taylor, Andrew M. Bradley, Peter A. Bosler, and Andrew Steyer Oksana Guba et al.
  • Sandia Natl. Laboratories, PO Box 5800, MS 1321, Albuquerque, NM, 87175 USA

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.

Oksana Guba et al.

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Oksana Guba et al.

Model code and software

E3SM-Project/sta-imex: v1.0.4 O. Guba and A. Steyer https://doi.org/10.5281/zenodo.3785712

Oksana Guba et al.

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