The Flux‐Differencing Discontinuous Galerkin Method Applied to an Idealized Fully Compressible Nonhydrostatic Dry Atmosphere
Name
J Adv Model Earth Syst - 2023 - Souza - The Flux‐Differencing Discontinuous Galerkin Method Applied to an Idealized Fully.pdf
Description
Published version
Size
3.64 MB
Format
Adobe PDF
Checksum (MD5)
8a97245415324fd4147ab2283026e8b5
Author(s)
Souza, AN
He, J
Bischoff, T
Waruszewski, M
Novak, L
Barra, V
Gibson, T
Sridhar, A
Kandala, S
Byrne, S
Date Issued
April 23, 2023
Journal
Journal of Advances in Modeling Earth Systems
Publisher
American Geophysical Union
Citation
Souza, A. N., He, J., Bischoff, T., Waruszewski, M., Novak, L., Barra, V., et al. (2023). The flux-differencing discontinuous Galerkin method applied to an idealized fully compressible nonhydrostatic dry atmosphere. Journal of Advances in Modeling Earth Systems, 15, e2022MS003527.
Version
Final published version
Abstract
Dynamical cores used to study the circulation of the atmosphere employ various numerical methods ranging from finite-volume, spectral element, global spectral, and hybrid methods. In this work, we explore the use of Flux-Differencing Discontinuous Galerkin (FDDG) methods to simulate a fully compressible dry atmosphere at various resolutions. We show that the method offers a judicious compromise between high-order accuracy and stability for large-eddy simulations and simulations of the atmospheric general circulation. In particular, filters, divergence damping, diffusion, hyperdiffusion, or sponge-layers are not required to ensure stability; only the numerical dissipation naturally afforded by FDDG is necessary. We apply the method to the simulation of dry convection in an atmospheric boundary layer and in a global atmospheric dynamical core in the standard benchmark of Held and Suarez (1994, https://doi.org/10.1175/1520-0477(1994)075〈1825:apftio〉2.0.co;2).
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
10.1029/2022ms003527
