22 citations · 38 across the 14 of their papers we have counts for
14 papers
Exploring physics-dynamics coupling using moist shallow water equations
Nell Hartney, Thomas M. Bendall, Jemma Shipton
One of the key choices for numerical models of geophysical fluids is how parametrisations of physical processes interact with the numerical methods that handle the resolved flow, k…
A conservative, discontinuous Galerkin, tracer transport scheme using compatible finite elements
Timothy C. Andrews, Thomas M. Bendall
This paper outlines a conservative transport scheme for scalar tracers within a compatible finite element model for geophysical fluid equations. Instead of using the advective tran…
A regional implementation of a mixed finite-element, semi-implicit dynamical core
Christine Johnson, Ben Shipway, Thomas Melvin +7
This paper explores how to adapt a new dynamical core to enable its use in one-way nested regional weather and climate models, where lateral boundary conditions (LBCs) are provided…
Exploring forms of the moist shallow water equations using a new compatible finite element discretisation
Nell Hartney, Thomas M. Bendall, Jemma Shipton
The moist shallow water equations offer a promising route for advancing understanding of the coupling of physical parametrisations and dynamics in numerical atmospheric models, an…
SWIFT: A Monotonic, Flux-Form Semi-Lagrangian Tracer Transport Scheme for Flow with Large Courant Numbers
Thomas M. Bendall, James Kent
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-Lagrangia…
A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
Thomas Melvin, Ben Shipway, Nigel Wood +11
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 me…
The impact of the explicit representation of convection on the climate of a tidally locked planet in global stretched-mesh simulations
Denis E. Sergeev, Ian A. Boutle, F. Hugo Lambert +5
Convective processes are crucial in shaping exoplanetary atmospheres but are computationally expensive to simulate directly. A novel technique of simulating moist convection on tid…
Physics-Dynamics-Chemistry Coupling Across Different Meshes in LFRic-Atmosphere: Formulation and Idealised Tests
Alex Brown, Thomas M. Bendall, Ian Boutle +2
The main components of an atmospheric model for numerical weather prediction are the dynamical core, which describes the resolved flow, and the physical parametrisations, which cap…
Simulations of idealised 3D atmospheric flows on terrestrial planets using LFRic-Atmosphere
Denis E. Sergeev, Nathan J. Mayne, Thomas Bendall +13
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 patterns specif…
Improving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elements
Thomas M Bendall, Golo A Wimmer
Within finite element models of fluids, vector-valued fields such as velocity or momentum variables are commonly discretised using the Raviart-Thomas elements. However, when using…
A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations
Thomas M. Bendall, Thomas H. Gibson, Jemma Shipton +2
We present new discretisation of the moist compressible Euler equations, using the compatible finite element framework identified in Cotter and Shipton (2012). The discretisation s…
Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation
Thomas M. Bendall, Colin J. Cotter, Darryl D. Holm
A famous feature of the Camassa-Holm equation is its admission of peaked soliton solutions known as peakons. We investigate this equation under the influence of stochastic transpor…
The Recovered Space Advection Scheme for Lowest-Order Compatible Finite Element Methods
Thomas M. Bendall, Colin J. Cotter, Jemma Shipton
We present a new compatible finite element advection scheme for the compressible Euler equations. Unlike the discretisations described in Cotter and Kuzmin (2016) and Shipton et al…
Statistical properties of an enstrophy conserving discretisation for the stochastic quasi-geostrophic equation
Thomas M. Bendall, Colin J. Cotter
A framework of variational principles for stochastic fluid dynamics was presented by Holm (2015), and these stochastic equations were also derived by Cotter et al. (2017). We prese…