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- Title
Numerical entropy conservation without sacrificing Charney–Phillips grid optimal wave propagation.
- Abstract
Conservation of entropy or potential temperature and accurate representation of wave propagation without computational modes are both desirable properties for a numerical model of the atmosphere. However, they appear to require different model formulations, forcing model developers to choose between them. Here it is shown that, by a straightforward modification of the horizontal entropy fluxes, numerical entropy conservation can be achieved without sacrificing accurate wave propagation. The result is confirmed by a numerical linear normal mode analysis for a simple but suitably modified finite‐volume scheme, and by buoyant bubble and gravity‐wave test cases in a vertical slice model using a suitably modified conservative semi‐Lagrangian transport scheme.
- Subjects
THEORY of wave motion; ENTROPY; ATMOSPHERIC models; ENERGY conservation; FINITE volume method
- Publication
Quarterly Journal of the Royal Meteorological Society, 2022, Vol 148, Issue 747, p2755
- ISSN
0035-9009
- Publication type
Article
- DOI
10.1002/qj.4334