15 citations · 28 across the 7 of their papers we have counts for
7 papers
Variational derivation of a moist thermal rotating shallow water model
Colin J. Cotter, Darryl D. Holm, Oliver D. Street
We introduce a new energy-conserving, moist shallow water model with thermal stratification and rotation. The model is derived from a variational principle, using a Lagrangian expr…
Entropic approximations of the semigeostrophic shallow water equations
Jean-David Benamou, Colin J. Cotter, Jacob J. M. Francis +1
We develop a discretisation of the semigeostrophic rotating shallow water equations, based upon their optimal transport formulation. This takes the form of a Moreau-Yoshida regular…
A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models
Hiroe Yamazaki, Colin Cotter
A new test case is presented for evaluating the compressible dynamical cores of the atmospheric models. The test case is based on a compressible vertical slice model that can be ob…
Examining Entropic Unbalanced Optimal Transport and Sinkhorn Divergences for Spatial Forecast Verification
Jacob J. M. Francis, Colin J. Cotter, Marion P. Mittermaier
An optimal transport (OT) problem seeks to find the cheapest mapping between two distributions with equal total density, given the cost of transporting density from one place to an…
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…
On the Calibration of Multilevel Monte Carlo Ensemble Forecasts
Alastair Gregory, Colin Cotter
Multilevel Monte Carlo can efficiently compute statistical estimates of discretized random variables, for a given error tolerance. Traditionally, only a certain statistic is comput…