학술논문

A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
Document Type
Working Paper
Source
Subject
Mathematics - Numerical Analysis
Mathematical Physics
65M22
Language
Abstract
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.
Comment: 26 Pages, 8 Figures, 1 Table