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Two-dimensional evaluation of atham-fluidity, a nonhydrostatic atmospheric model using mixed continuous/discontinuous finite elements and anisotropic grid optimization

Published version
Peer-reviewed

Change log

Authors

Savre, J 
Percival, J 
Pain, C 

Abstract

jats:titleAbstract</jats:title>jats:pThis paper presents the first attempt to apply the compressible nonhydrostatic Active Tracer High-Resolution Atmospheric Model–Fluidity (ATHAM-Fluidity) solver to a series of idealized atmospheric test cases. ATHAM-Fluidity uses a hybrid finite-element discretization where pressure is solved on a continuous second-order grid while momentum and scalars are computed on a first-order discontinuous grid (also known as jats:inline-formula<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="mwr-d-15-0398.1-inf1.gif" mimetype="image" xlink:type="simple" /></jats:inline-formula>). ATHAM-Fluidity operates on two- and three-dimensional unstructured meshes, using triangular or tetrahedral elements, respectively, with the possibility to employ an anisotropic mesh optimization algorithm for automatic grid refinement and coarsening during run time. The solver is evaluated using two-dimensional-only dry idealized test cases covering a wide range of atmospheric applications. The first three cases, representative of atmospheric convection, reveal the ability of ATHAM-Fluidity to accurately simulate the evolution of large-scale flow features in neutral atmospheres at rest. Grid convergence without adaptivity as well as the performances of the Hermite–Weighted Essentially Nonoscillatory (Hermite-WENO) slope limiter are discussed. These cases are also used to test the grid optimization algorithm implemented in ATHAM-Fluidity. Adaptivity can result in up to a sixfold decrease in computational time and a fivefold decrease in total element number for the same finest resolution. However, substantial discrepancies are found between the uniform and adapted grid results, thus suggesting the necessity to improve the reliability of the approach. In the last three cases, corresponding to atmospheric gravity waves with and without orography, the model ability to capture the amplitude and propagation of weak stationary waves is demonstrated. This work constitutes the first step toward the development of a new comprehensive limited area atmospheric model.</jats:p>

Description

Keywords

37 Earth Sciences, 3701 Atmospheric Sciences

Journal Title

Monthly Weather Review

Conference Name

Journal ISSN

0027-0644
1520-0493

Volume Title

144

Publisher

American Meteorological Society
Sponsorship
Natural Environment Research Council (NE/H002987/1)
Natural Environment Research Council (NE/N013727/1)
Engineering and Physical Sciences Research Council (EP/N010221/1)
European Commission (603663)
This research has received funding from the European Union Seventh Framework Program (FP7/2007-2013) under Grant agreement 603663 for the research project PEARL (Preparing for Extreme And Rare events in coastaL regions). The EPSRC multiphase program grant MEMPHIS is also acknowledged.