Mathematics and Statistics
Recent Submissions
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A Poisson-bracket scheme for nonlinear shallow-water sloshing in an oscillating tank with irregular bottom surface
(Elsevier, 2024)The mass-, energy-, and potential-enstrophy-conserving Poisson bracket nu merical scheme introduced by Arakawa & Lamb (1981), and extended by Salmon (2004) and Stewart & Dellar (2016), is adapted to the problem of nonlinear ... -
Improved understanding and characterisation of climate hazards in the UK
(Springer Nature, 23 December 2023)This chapter describes new methods and datasets, developed through UK Climate Resilience Programme (UKCR) projects, to better understand climate hazards. We describe projections of hazards using new tools and provide ... -
A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
(Wiley, 2024)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 ... -
Geometric approaches to Lagrangian averaging
(Annual Reviews, 2024)Lagrangian averaging theories, most notably the Generalised Lagrangian Mean (GLM) theory of Andrews & McIntyre (1978a), have been primarily developed in Euclidean space and Cartesian coordinates. We re-interpret these ... -
On statistical zonostrophic instability and the effect of magnetic fields
(Cambridge University Press, 2024)Zonal flows are mean flows in the east–west direction, which are ubiquitous on planets, and can be formed through ‘zonostrophic instability’: within turbulence or random waves, a weak large-scale zonal flow can grow ...