112 citations · 1.1k across the 65 of their papers we have counts for
6 papers · 1 filter
Optimal-transport-based mesh adaptivity on the plane and sphere using finite elements
Andrew T. T. McRae, Colin J. Cotter, Chris J. Budd
In moving mesh methods, the underlying mesh is dynamically adapted without changing the connectivity of the mesh. We specifically consider the generation of meshes which are adapte…
Vertical slice modelling of nonlinear Eady waves using a compatible finite element method
Hiroe Yamazaki, Jemma Shipton, Michael J. P. Cullen +2
A vertical slice model is developed for the Euler-Boussinesq equations with a constant temperature gradient in the direction normal to the slice (the Eady-Boussinesq model). The mo…
Scale-selective dissipation in energy-conserving finite element schemes for two-dimensional turbulence
Andrea Natale, Colin J. Cotter
We analyse the multiscale properties of energy-conserving upwind-stabilised finite element discretisations of the two-dimensional incompressible Euler equations. We focus our atten…
A Seamless Multilevel Ensemble Transform Particle Filter
Alastair Gregory, Colin Cotter
This paper presents a seamless algorithm for the application of the multilevel Monte Carlo (MLMC) method to the ensemble transform particle filter (ETPF). The algorithm uses a comb…
A variational H(div) finite element discretisation approach for perfect incompressible fluids
Andrea Natale, Colin J. Cotter
We propose a finite element discretisation approach for the incompressible Euler equations which mimics their geometric structure and their variational derivation. In particular, w…
High level implementation of geometric multigrid solvers for finite element problems: applications in atmospheric modelling
Lawrence Mitchell, Eike Hermann Müller
The implementation of efficient multigrid preconditioners for elliptic partial differential equations (PDEs) is a challenge due to the complexity of the resulting algorithms and co…