A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Cartesian geometry

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Title: A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Cartesian geometry
Authors: Melvin, T
Benacchio, T
Shipway, B
Wood, N
Thuburn, J
Cotter, C
Item Type: Journal Article
Abstract: To meet the challenges posed by future generations of massively parallel supercomputers a reformulation of the dynamical core for the Met Office’s weather and climate model is presented. This new dynamical core uses explicit finite‐volume type discretisations for the transport of scalar fields coupled with an iterated‐implicit, mixed finite‐element discretisation for all other terms. The target model aims to maintain the accuracy, stability and mimetic properties of the existing Met Office model independent of the chosen mesh while improving the conservation properties of the model. This paper details that proposed formulation and, as a first step towards complete testing, demonstrates its performance for a number of test cases in (the context of) a Cartesian domain. The new model is shown to produce similar results to both the existing semi‐implicit semi‐Lagrangian model used at the Met Office and other models in the literature on a range of bubble tests and orographically forced flows in two and three dimensions.
Issue Date: 1-Oct-2019
Date of Acceptance: 3-Dec-2018
DOI: 10.1002/qj.3501
ISSN: 0035-9009
Publisher: Wiley
Start Page: 2835
End Page: 2853
Journal / Book Title: Quarterly Journal of the Royal Meteorological Society
Volume: 145
Issue: 724
Copyright Statement: © 2019 Royal Meteorological Society. This is the accepted version of the following article: Melvin, T. , Benacchio, T. , Shipway, B. , Wood, N. , Thuburn, J. and Cotter, C. (2019), A mixed finite‐element, finite‐volume, semi‐implicit discretisation for atmospheric dynamics: Cartesian geometry. Q J R Meteorol Soc. Accepted Author Manuscript., which has been published in final form at
Sponsor/Funder: Natural Environment Research Council (NERC)
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: NE/K006789/1
Keywords: Meteorology & Atmospheric Sciences
0401 Atmospheric Sciences
0405 Oceanography
0406 Physical Geography and Environmental Geoscience
Publication Status: Published
Embargo Date: 2020-02-10
Online Publication Date: 2019-02-10
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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