Review
Version 1
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Adaptive Wavelet Methods for Earth Systems Modelling
Version 1
: Received: 8 June 2021 / Approved: 9 June 2021 / Online: 9 June 2021 (12:18:45 CEST)
A peer-reviewed article of this Preprint also exists.
Kevlahan, N.K.-R. Adaptive Wavelet Methods for Earth Systems Modelling. Fluids 2021, 6, 236, doi:10.3390/fluids6070236. Kevlahan, N.K.-R. Adaptive Wavelet Methods for Earth Systems Modelling. Fluids 2021, 6, 236, doi:10.3390/fluids6070236.
Abstract
This paper reviews how dynamically adaptive wavelet methods can be designed to simulate atmosphere and ocean dynamics in both flat and spherical geometries. We highlight the special features that these models must have in order to be valid for climate modelling applications. These include exact mass conservation and various mimetic properties that ensure the solutions remain physically realistic, even in the under-resolved conditions typical of climate models. Particular attention is paid to the implementation of complex topography in adaptive models. Using \textsc{wavetrisk} as an example, we explain in detail how to build a semi-realistic global atmosphere or ocean model of interest to the geophysical community. We end with a discussion of the challenges that remain to developing a realistic dynamically adaptive atmosphere or ocean climate models. These include scale-aware subgrid scale parameterizations of physical processes, such as clouds. Although we focus on adaptive wavelet methods, many of the topics we discuss are relevant for adaptive mesh refinement (AMR).
Keywords
daptive mesh refinement; adaptive numerical methods; atmosphere modelling; climate modelling; Earth systems models; large-eddy simulation; ocean modelling; wavelets
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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