HOMME uses fully unstructured quadrilateral based finite element meshes on the sphere, such as the cubed-sphere mesh for quasi-uniform resolution.
Employing Spectral Element (SE) and Discontinuous Galerkin (DG) methods to solve the shallow water or the dry/moist primitive equations, HOMME is an extremely scalable and efficient dynamical core.
HOMME is the default dynamical core of the Community Atmosphere Model (CAM) and the Community Earth System Model (CESM)."
https://www.homme.ucar.edu/
Many-Core Optimization of the CESM - https://www2.cisl.ucar.edu/sites/default/files/Dennis_Slides.pdf
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