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This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.

Downloads

Download Preprint

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 12:39

Last Updated: 2021-01-22 20:39

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

Add a Comment

You must log in to post a comment.


Comments

There are no comments or no comments have been made public for this article.