This is a Preprint and has not been peer reviewed. The published version of this Preprint is available: https://doi.org/10.1175/JAS-D-21-0023.1. This is version 2 of this Preprint.
An idealized 1.5-layer isentropic model with convection and precipitation for satellite data assimilation research. Part II: model derivation
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Authors
Onno Bokhove,
Luca Cantarello 
,
Steven Tobias
Abstract
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.
DOI
https://doi.org/10.31223/X5CP5M
Subjects
Applied Mathematics, Oceanography and Atmospheric Sciences and Meteorology, Physical Sciences and Mathematics
Keywords
Shallow water, Hamiltonian dynamics, Isentropic model, 1.5-layer model, Shallow water models, 1.5-layer models, Isentropic models
Dates
Published: 2021-01-22 20:39
Last Updated: 2022-02-08 06:28
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License
CC BY Attribution 4.0 International
Additional Metadata
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 http://weather.uwyo.edu/upperair/sounding.html
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