Stratosphere Model Verification with Manufactured Geometry
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908743876214784 |
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| author | Lawen, Johannes Salman, George Bhardwaj, Akshita |
| author_facet | Lawen, Johannes Salman, George Bhardwaj, Akshita |
| contents | 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 $σ$--$p$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_00206 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stratosphere Model Verification with Manufactured Geometry Lawen, Johannes Salman, George Bhardwaj, Akshita Atmospheric and Oceanic Physics 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 $σ$--$p$ 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. |
| title | Stratosphere Model Verification with Manufactured Geometry |
| topic | Atmospheric and Oceanic Physics |
| url | https://arxiv.org/abs/2601.00206 |