Analytic construction of baroclinic tori by non-linear summation

TL;DR

This paper introduces an analytical method to construct stable baroclinic tori with significant vertical shear, aiding the study of background structure effects on instabilities in fluid dynamics.

Contribution

The paper presents a novel analytical approach for constructing stable baroclinic tori with vertical shear, expanding tools for stability analysis in fluid flows.

Findings

Constructed baroclinic tori with significant vertical shear

Tori are stable according to Solberg–Høiland criteria

Method facilitates investigation of background structure effects

Abstract

In this paper analytical method for constructing baroclinic flow is presented. Presented method allows the construction of baroclinic tori with significant vertical shear, which are stable by the Solberg--H{\o}iland criteria. The presented method can be useful in the investigations of the influence of background structure on vertical-shear- and entropy-driven instabilities.