112 citations · 1.1k across the 65 of their papers we have counts for
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Hybridised multigrid preconditioners for a compatible finite element dynamical core
Jack D. Betteridge, Colin J. Cotter, Thomas H. Gibson +3
Compatible finite element discretisations for the atmospheric equations of motion have recently attracted considerable interest. Semi-implicit timestepping methods require the repe…
A compatible finite element discretisation for the nonhydrostatic vertical slice equations
C. J. Cotter, J. Shipton
We present a compatible finite element discretisation for the vertical slice compressible Euler equations, at next-to-lowest order (i.e., the pressure space is bilinear discontinuo…
Weighted-norm preconditioners for a multi-layer tide model
Colin J. Cotter, Robert C. Kirby, Hunter Morris
We derive a linearized rotating shallow water system modeling tides, which can be discretized by mixed finite elements. Unlike previous models, this model allows for multiple layer…
A new implementation of the geometric method for solving the Eady slice equations
Charlie P. Egan, David P. Bourne, Colin J. Cotter +4
We present a new implementation of the geometric method of Cullen & Purser (1984) for solving the semi-geostrophic Eady slice equations which model large scale atmospheric flows an…
The r-Camassa-Holm equation: smooth and singular solutions
C. J. Cotter, D. D. Holm, T. Pryer
This paper introduces the r-Camassa-Holm (r-CH) equation, which describes a geodesic flow on the manifold of diffeomorphisms acting on the real line induced by the W1,r metric. The…