Convection in a Single Column -- Modelling, Algorithm and Analysis

TL;DR

This paper models idealized moist air convection in a single atmospheric column, providing exact solutions to analyze stability, behavior, and solution methods for simplified convection problems.

Contribution

It introduces a simplified model for moist convection in a single column and explores solution algorithms and stability analysis.

Findings

Exact solutions for the simplified convection model were obtained.

Column behavior and stability issues were identified.

Feasibility of general solution processes was explored.

Abstract

The group focused on a model problem of idealised moist air convection in a single column of atmosphere. Height, temperature and moisture variables were chosen to simplify the mathematical representation (along the lines of the Boussinesq approximation in a height variable defined in terms of pressure). This allowed exact simple solutions of the numerical and partial differential equation problems to be found. By examining these, we identify column behaviour, stability issues and explore the feasibility of a more general solution process.