A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
CoRR(2024)
摘要
The reformulation of the Met Office's dynamical core for weather and climate
prediction previously described by the authors is extended to spherical domains
using a cubed-sphere mesh. This paper updates the semi-implicit mixed
finite-element formulation to be suitable for spherical domains. In particular
the finite-volume transport scheme is extended to take account of non-uniform,
non-orthogonal meshes and uses an advective-then-flux formulation so that
increment from the transport scheme is linear in the divergence. The resulting
model is then applied to a standard set of dry dynamical core tests and
compared to the existing semi-implicit semi-Lagrangian dynamical core currently
used in the Met Office's operational model.
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