A mixed finite‐element, finite‐volume, semi‐implicit discretisation for atmospheric dynamics: Spherical geometry

T Melvin, B Shipway, N Wood… - Quarterly Journal of …, 2024 - Wiley Online Library
Our previously described reformulation of the Met Office's dynamical core for weather and
climate prediction is extended to spherical domains using a cubed‐sphere mesh. We update …

Physics–dynamics–chemistry coupling across different meshes in LFRic‐Atmosphere: Formulation and idealised tests

A Brown, TM Bendall, I Boutle, T Melvin… - Quarterly Journal of …, 2024 - Wiley Online Library
The main components of an atmospheric model for numerical weather prediction are the
“dynamical core,” which describes the resolved flow, and the “physical parametrisation,” …

Compatible finite element methods for geophysical fluid dynamics

CJ Cotter - Acta Numerica, 2023 - cambridge.org
This article surveys research on the application of compatible finite element methods to
large-scale atmosphere and ocean simulation. Compatible finite element methods extend …

Simulations of idealised 3D atmospheric flows on terrestrial planets using LFRic-Atmosphere

DE Sergeev, NJ Mayne, T Bendall… - Geoscientific Model …, 2023 - gmd.copernicus.org
Abstract We demonstrate that LFRic-Atmosphere, a model built using the Met Office's
GungHo dynamical core, is able to reproduce idealised large-scale atmospheric circulation …

Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering

D Lee, AF Martín, K Ricardo - Quarterly Journal of the Royal …, 2024 - Wiley Online Library
Implicit solvers for atmospheric models are often accelerated via the solution of a
preconditioned system. For block preconditioners, this typically involves the factorisation of …

Consistent, conservative, and efficient advection updatesfor iterative‐implicit atmospheric solvers

J Thuburn - Quarterly Journal of the Royal Meteorological …, 2024 - Wiley Online Library
Atmospheric model dynamical cores that iterate towards a Crank–Nicolson‐like implicit time‐
stepping scheme are attractive for operational prediction because their excellent stability …

A compatible finite element discretisation for moist shallow water equations

N Hartney, TM Bendall, J Shipton - arXiv preprint arXiv:2409.07182, 2024 - arxiv.org
The moist shallow water equations offer a promising route for advancing understanding of
the coupling of physical parametrisations and dynamics in numerical atmospheric models …

Potential based Thermodynamics with Consistent Conservative Cascade Transport for Implicit Large Eddy Simulation: PTerodaC3TILES version 1.0

J Thuburn - Geoscientific Model Development Discussions, 2024 - gmd.copernicus.org
A new computational fluid dynamics code for Large-Eddy Simulation (LES) of the
atmospheric boundary layer and convection is presented and made available. A key novelty …

SWIFT: A Monotonic, Flux-Form Semi-Lagrangian Tracer Transport Scheme for Flow with Large Courant Numbers

TM Bendall, J Kent - arXiv preprint arXiv:2405.20006, 2024 - arxiv.org
Local conservation of mass and entropy are becoming increasingly desirable properties for
modern numerical weather and climate models. This work presents a Flux-Form Semi …