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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Volume 11, issue 4
Geosci. Model Dev., 11, 1497–1515, 2018
https://doi.org/10.5194/gmd-11-1497-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Geosci. Model Dev., 11, 1497–1515, 2018
https://doi.org/10.5194/gmd-11-1497-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Development and technical paper 17 Apr 2018

Development and technical paper | 17 Apr 2018

Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models

David J. Gardner et al.

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Anderson, E., Bai, Z., Bischof, C., Blackford, S., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., and Sorensen, D.: LAPACK Users' Guide, Society for Industrial and Applied Mathematics, 3rd Edn., Philadelphia, PA, 425 pp., 1999.
Ascher, U. M., Ruuth, S. J., and Spiteri, R. J.: Implicit-explicit Runge–Kutta methods for time-dependent partial differential equations, Appl. Numer. Math., 25, 151–167, https://doi.org/10.1016/S0168-9274(97)00056-1, 1997.
Conde, S., Gottlieb, S., Grant, Z. J., and Shadid, J. N.: Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order, J. Sci. Comput., 73, 667–690, https://doi.org/10.1007/s10915-017-0560-2, 2017.
Devore, J. L.: Probability and Statistics for Engineering and the Sciences, 7th Edn., Thomson Brooks/Cole, 736 pp., 2008.
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As the computational power of supercomputing systems increases, and models for simulating the fluid flow of the Earth's atmosphere operate at higher resolutions, new approaches for advancing these models in time will be necessary. In order to produce the best possible result in the least amount of time, we evaluate a number of splittings, methods, and solvers on two test cases. Based on these results, we identify the most accurate and efficient approaches for consideration in production models.
As the computational power of supercomputing systems increases, and models for simulating the...
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