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A compatible finite-element discretisation for the moist compressible Euler equations

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Title: A compatible finite-element discretisation for the moist compressible Euler equations
Authors: Bendall, TM
Gibson, TH
Shipton, J
Cotter, CJ
Shipway, B
Item Type: Journal Article
Abstract: A promising development of the last decade in the numerical modelling of geophysical fluids has been the compatible finite‐element framework. Indeed, this will form the basis for the next‐generation dynamical core of the Met Office. For this framework to be useful for numerical weather prediction models, it must be able to handle descriptions of unresolved and diabatic processes. These processes offer a challenging test for any numerical discretisation, and have not yet been described within the compatible finite‐element framework. The main contribution of this article is to extend a discretisation using this new framework to include moist thermodynamics. Our results demonstrate that discretisations within the compatible finite‐element framework can be robust enough also to describe moist atmospheric processes. We describe our discretisation strategy, including treatment of moist processes, and present two configurations of the model using different sets of function spaces with different degrees of finite element. The performance of the model is demonstrated through several test cases. Two of these test cases are new cloudy‐atmosphere variants of existing test cases: inertia–gravity waves in a two‐dimensional vertical slice and a three‐dimensional rising thermal.
Issue Date: Oct-2020
Date of Acceptance: 16-May-2020
URI: http://hdl.handle.net/10044/1/82910
DOI: 10.1002/qj.3841
ISSN: 0035-9009
Publisher: Wiley
Start Page: 3187
End Page: 3205
Journal / Book Title: Quarterly Journal of the Royal Meteorological Society
Volume: 146
Issue: 732
Copyright Statement: © 2020 The Authors. Quarterly Journal of the Royal Meteorological Society published by John Wiley & Sons Ltd on behalf of the Royal Meteorological Society. This is an open access article under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Keywords: Science & Technology
Physical Sciences
Meteorology & Atmospheric Sciences
dynamical core
finite-element method
mimetic discretisation
moisture
SIMULATION
ADVECTION
ALGORITHM
Science & Technology
Physical Sciences
Meteorology & Atmospheric Sciences
dynamical core
finite-element method
mimetic discretisation
moisture
SIMULATION
ADVECTION
ALGORITHM
Meteorology & Atmospheric Sciences
0401 Atmospheric Sciences
0405 Oceanography
0406 Physical Geography and Environmental Geoscience
Publication Status: Published
Open Access location: https://arxiv.org/abs/1910.01857
Online Publication Date: 2020-06-07
Appears in Collections:Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences
Mathematics



This item is licensed under a Creative Commons License Creative Commons