The LMARS Based Shallow-Water Dynamical Core on Generic Gnomonic Cubed-Sphere Geometry

Chen, Xi

doi:10.1029/2020MS002280

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The LMARS Based Shallow-Water Dynamical Core on Generic Gnomonic Cubed-Sphere Geometry

2021
By Chen, Xi
Source: Journal of Advances in Modeling Earth Systems, 13(1)

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Journal Title:

Journal of Advances in Modeling Earth Systems
Personal Author:

Chen, Xi
NOAA Program & Office:

OAR (Oceanic and Atmospheric Research) ; GFDL (Geophysical Fluid Dynamics Laboratory) ; CIMES (Cooperative Institute for Modeling the Earth System)

OAR (Oceanic and Atmospheric Research) ; GFDL (Geophysical Fluid Dynamics Laboratory) ; CIMES (Cooperative Institute for Modeling the Earth System) Less -
Description:

The rapidly increasing computing powers allow global atmospheric simulations with aggressively high resolutions, challenging traditional model design principles. This study presents a Low Mach number Approximate Riemann Solver (LMARS) based unstaggered finite-volume model for solving the shallow-water equations on arbitrary gnomonic cubed-sphere grids. Using a novel reference line-based grid-generation process, it unifies the representation of arbitrary gnomonic cubed-sphere grid projections and permits high-efficiency 1D reconstruction in the halo regions. The numerical discretization also extends a widely used pressure gradient algorithm with the LMARS viscous term, thus improves the model's stability for various numerical applications. The solver demonstrates a broad range of organic diffusion control without any explicit filters, validated by a comprehensive set of test cases. Lastly, a newly introduced splash on the sphere test verifies the solver's desirable dispersion properties and consistent performance among different grid types. This study paves a solid foundation for a new generation of global circulation models with kilometer horizontal scales.
Keywords:

[+]

Atmospheric models Cube‐sphere Grid Finite Volume Method Low Mach Number Approximate Riemann Solver (LMARS) Shallow Water Equations
Source:

Journal of Advances in Modeling Earth Systems, 13(1)
DOI:

https://doi.org/10.1029/2020MS002280
Document Type:

Journal Article
Funding:

Grant no. NA18OAR4320123
Rights Information:

CC BY-NC-ND
Compliance:

Submitted
Main Document Checksum:

[+]

urn:sha256:60c84278cfc079539267d2d1774b7bfb262663cccb9b577138394d419a437803
Download URL:

https://repository.library.noaa.gov/view/noaa/29597/noaa_29597_DS1.pdf
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The LMARS Based Shallow-Water Dynamical Core on Generic Gnomonic Cubed-Sphere Geometry

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