Stratosphere Model Verification with Manufactured Geometry

TL;DR

This paper introduces an exact solution for a stratosphere model with a dynamic lower boundary driven by the troposphere, enabling more realistic boundary interactions and natural domain evolution.

Contribution

It presents a novel formulation of the stratospheric dynamical core with a moving boundary, integrating ALE updates and ensuring physical consistency.

Findings

The model preserves pressure-gradient calculations with a moving boundary.

Analytical properties such as well-posedness and energetics are highlighted.

A verification path using standard test cases and reanalysis data is outlined.

Abstract

We propose an exact solution for a stratosphere dynamical core formulated in geopotential/pressure coordinates with a time-evolving lower boundary supplied by the troposphere. Rather than constraining the stratospheric circulation via specified dynamics (``nudging'') to a reanalysis, we treat the tropopause as a moving geometric boundary. The stratospheric domain thus expands, contracts, and undulates in response to tropospheric variability while preserving familiar hybrid $\sigma$--$p$ structure and pressure-gradient calculations. The approach integrates naturally with arbitrary Lagrangian--Eulerian (ALE) updates and conservative remap to maintain positive layer thickness and tracer monotonicity. We outline the formulation, highlight analytical properties (well-posedness, energetics, wave propagation), and sketch a verification/validation path based on modified standard test cases and reanalysis-driven experiments.