An idealized 1.5-layer isentropic model with convection and precipitation for satellite data assimilation research. Part II: model derivation

This is a Preprint and has not been peer reviewed. The published version of this Preprint is available: This is version 2 of this Preprint.


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Onno Bokhove, Luca Cantarello , Steven Tobias


In this part II paper we present the analytical derivation of the isentropic 1.5-layer shallow water model described and used in part I of this study. The mathematical derivation presented here is based on a combined asymptotic and slaved Hamiltonian analysis. The scaling assumptions throughout the paper are supported by real observations based on radiosonde data. Eventually, a fully consistent isentropic 1.5-layer model emerges from imposing fluid at rest and zero Montgomery potential in the upper layer of an isentropic two-layer model.



Applied Mathematics, Oceanography and Atmospheric Sciences and Meteorology, Physical Sciences and Mathematics


Shallow water, Hamiltonian dynamics, Isentropic model, 1.5-layer model, Shallow water models, 1.5-layer models, Isentropic models


Published: 2021-01-22 03:39

Last Updated: 2022-02-07 13:28

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CC BY Attribution 4.0 International

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Conflict of interest statement:
We do not have conflicts of interest to disclose

Data Availability (Reason not available):
The data shown in section 4 can be obtained from the referenced paper (Birner 2006) and from

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