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arXiv · 2601.00206

Stratosphere Model Verification with Manufactured Geometry

Johannes Lawen·George Salman·Akshita Bhardwaj
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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.

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Johannes Lawen, George Salman, Akshita Bhardwaj. 2026-01-01. Stratosphere Model Verification with Manufactured Geometry. https://arxiv.org/abs/2601.00206

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