Abstract
We present new implicit-explicit (IMEX) finite volume schemes for numerical simulation of cloud dynamics. We use weakly compressible equations to describe fluid dynamics and a system of advection-diffusion-reaction equations to model cloud dynamics. In order to efficiently resolve slow dynamics we split the whole nonlinear system in a stiff linear part governing the acoustic and gravitational waves as well as diffusive effects and a non-stiff nonlinear part that models nonlinear advection effects. We use a stiffly accurate second order IMEX scheme for time discretization to approximate the stiff linear operator implicitly and the non-stiff nonlinear operator explicitly. Fast microscale cloud physics is approximated by small scale subtractions.
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Acknowledgements
The research leading to these results has been done within the subproject A2 of the Transregional Collaborative Research Center SFB/TRR 165 “Waves to Weather” funded by the German Science Foundation (DFG). The authors acknowledge the support of the Data Center ZDV in Mainz for providing computation time on MOGON cluster.
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Lukáčová-Medvid’ová, M., Rosemeier, J., Spichtinger, P., Wiebe, B. (2017). IMEX Finite Volume Methods for Cloud Simulation. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_20
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DOI: https://doi.org/10.1007/978-3-319-57394-6_20
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