A vertical-slice frontogenesis test case for compressible non-hydrostatic dynamical cores of atmospheric models
Author(s)
Yamazaki, Hiroe
Cotter, Colin J
Type
Journal Article
Abstract
A new test case is presented for evaluating the compressible dynamical cores of atmospheric models. The test case is based on a compressible vertical-slice model that can be obtained by simple modification of a standard three-dimensional (3D) compressible dynamical core. On the one hand, an advantage of the test case is that it is quasi-2D, so it can be run quickly on a standard workstation, enabling rapid experimentation with numerical schemes and discretisation choices. On the other hand, the test case exhibits frontogenesis, a challenging regime for numerical discretisations, which usually only arises in 3D model configurations for the compressible case. Numerical results of the test case using an implicit time-stepping method with a compatible finite-element discretisation are presented as a reference solution. An example comparison between advective and vector-invariant forms for the advective nonlinearity in the velocity equation demonstrates one possible use of the scheme. The comparison shows a Hollingsworth-like instability when the vector-invariant form is used.
Date Issued
2025-10-01
Date Acceptance
2025-06-02
Citation
Quarterly Journal of the Royal Meteorological Society, 2025, 151 (772)
ISSN
0035-9009
Publisher
Wiley
Journal / Book Title
Quarterly Journal of the Royal Meteorological Society
Volume
151
Issue
772
Copyright Statement
© 2025 The Author(s). Quarterly Journal of the Royal Meteorological Society published by John Wiley & Sons Ltd on behalf of Royal Meteorological Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
License URL
Subjects
DCMIP2016
EADY WAVES
frontogenesis
Meteorology & Atmospheric Sciences
model intercomparison
NONLINEAR EQUILIBRATION
numerical weather prediction
Physical Sciences
Science & Technology
vertical slice
Publication Status
Published
Article Number
e5039
Date Publish Online
2025-06-23