15 citations · 28 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
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…