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Mathematics of Climate and Weather Forecasting

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A model for warm clouds with implicit droplet activation, avoiding saturation adjustment

Nikolas Porz
  • Corresponding author
  • Institute for Atmospheric Physics, Johannes Gutenberg University, Mainz, Germany
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Martin Hanke / Manuel Baumgartner / Peter Spichtinger
Published Online: 2018-12-31 | DOI: https://doi.org/10.1515/mcwf-2018-0003


The representation of cloud processes inweather and climate models is crucial for their feedback on atmospheric flows. Since there is no general macroscopic theory of clouds, the parameterization of clouds in corresponding simulation software depends crucially on the underlying modeling assumptions. In this study we present a new model of intermediate complexity (a one-and-a-half moment scheme) for warm clouds, which is derived from physical principles. Our model consists of a system of differential-algebraic equations which allows for supersaturation and comprises intrinsic automated droplet activation due to a coupling of the droplet mass- and number concentrations tailored to this problem. For the numerical solution of this system we recommend a semi-implicit integration scheme, with effcient solvers for the implicit parts. The new model shows encouraging numerical results when compared with alternative cloud parameterizations, and it is well suited to investigate model uncertainties and to quantify predictability of weather events in moist atmospheric regimes.

Keywords: Cloud model; numerical methods


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About the article

Received: 2018-07-20

Accepted: 2018-12-09

Published Online: 2018-12-31

Published in Print: 2018-12-01

Citation Information: Mathematics of Climate and Weather Forecasting, Volume 4, Issue 1, Pages 50–78, ISSN (Online) 2353-6438, DOI: https://doi.org/10.1515/mcwf-2018-0003.

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© by Nikolas Porz, et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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