Simplified two-layer models of precipitating atmosphere and their properties

@article{Lambaerts2011SimplifiedTM,
  title={Simplified two-layer models of precipitating atmosphere and their properties},
  author={Julien Lambaerts and Guillaume Lapeyre and Vladimir Zeitlin and François Bouchut},
  journal={Physics of Fluids},
  year={2011},
  volume={23},
  pages={046603}
}
We derive a two-layer rotating shallow-water model for a moist atmosphere with water vapor condensation and related diabatic heating. Moist convection is represented by additional mass exchanges between the layers, which are determined from the moist enthalpy conservation principle, and related to the precipitation. Various boundary conditions at the lower and upper boundaries may be used. We show that the model reproduces in appropriate limits the main simplified models used previously in the… 
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