66 citations · 190 across the 11 of their papers we have counts for
4 papers · 2 filters
A structure-preserving approximation of the discrete split rotating shallow water equations
Werner Bauer, Jörn Behrens, Colin J. Cotter
We introduce an efficient split finite element (FE) discretization of a y-independent (slice) model of the rotating shallow water equations. The study of this slice model provides…
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…
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise
Colin Cotter, Dan Crisan, Darryl Holm +2
This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algori…
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…