Zobrazeno 1 - 10
of 190
pro vyhledávání: '"Cotter, Colin J."'
Accurate transport algorithms are crucial for computational fluid dynamics and more accurate and efficient schemes are always in development. One dimensional limiting is commonly employed to suppress nonphysical oscillations. However, the application
Externí odkaz:
http://arxiv.org/abs/2402.08395
We study parameterisation-independent closed planar curve matching as a Bayesian inverse problem. The motion of the curve is modelled via a curve on the diffeomorphism group acting on the ambient space, leading to a large deformation diffeomorphic me
Externí odkaz:
http://arxiv.org/abs/2307.04909
When estimating quantities and fields that are difficult to measure directly, such as the fluidity of ice, from point data sources, such as satellite altimetry, it is important to solve a numerical inverse problem that is formulated with Bayesian con
Externí odkaz:
http://arxiv.org/abs/2304.06058
Autor:
Cotter, Colin J.
This article surveys research on the application of compatible finite element methods to large scale atmosphere and ocean simulation. Compatible finite element methods extend Arakawa's C-grid finite difference scheme to the finite element world. They
Externí odkaz:
http://arxiv.org/abs/2302.13337
Autor:
Betteridge, Jack D., Cotter, Colin J., Gibson, Thomas H., Griffith, Matthew J., Melvin, Thomas, Müller, Eike H.
Compatible finite element discretisations for the atmospheric equations of motion have recently attracted considerable interest. Semi-implicit timestepping methods require the repeated solution of a large saddle-point system of linear equations. Prec
Externí odkaz:
http://arxiv.org/abs/2210.11797
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 layers stratified by density. Like the single-layer case~\cite{kirby2021pre
Externí odkaz:
http://arxiv.org/abs/2207.02116
Autor:
Egan, Charlie P., Bourne, David P., Cotter, Colin J., Cullen, Mike J. P., Pelloni, Beatrice, Roper, Steven M., Wilkinson, Mark
Publikováno v:
Journal of Computational Physics, Volume 469, 111542 (2022)
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 and frontogenesis. The geometric method is a Lagrangian discretisation,
Externí odkaz:
http://arxiv.org/abs/2203.04903
Adaptive meshes have the potential to improve the accuracy and efficiency of atmospheric modelling by increasing resolution where it is most needed. Mesh re-distribution, or r-adaptivity, adapts by moving the mesh without changing the connectivity. T
Externí odkaz:
http://arxiv.org/abs/2108.00805
Publikováno v:
In Computers and Mathematics with Applications 1 April 2024 159:155-172
Autor:
Bock, Andreas, Cotter, Colin J.
We study the problem of diffeomorphometric geodesic landmark matching where the objective is to find a diffeomorphism that via its group action maps between two sets of landmarks. It is well-known that the motion of the landmarks, and thereby the dif
Externí odkaz:
http://arxiv.org/abs/2103.14076