Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Andrew T. T. McRae"'
Publikováno v:
Mathematics of Planet Earth ISBN: 9783030239565
In this chapter, we introduce some basic concepts for discretisation of geophysical fluid models, motivated by the compatible finite element framework. We begin by defining compatible finite element spaces in two dimensions, before using them to desc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53be3f8b6bb0b5b931bb09d3df2af167
https://doi.org/10.1007/978-3-030-23957-2_2
https://doi.org/10.1007/978-3-030-23957-2_2
Publikováno v:
Mathematics of Planet Earth ISBN: 9783030239565
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4885f142ee6c2388b5a0d2f5c3cf936
https://doi.org/10.1007/978-3-030-23957-2_3
https://doi.org/10.1007/978-3-030-23957-2_3
Publikováno v:
Mathematics of Planet Earth ISBN: 9783030239565
In this chapter we describe how to implement geophysical fluid dynamics models in Firedrake, focusing on two-dimensional models. The chapter is formed from code examples which highlight relevant aspects of the Firedrake modelling system. In particula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd211d16b88a314f7ed2476dfb75c8a5
https://doi.org/10.1007/978-3-030-23957-2_4
https://doi.org/10.1007/978-3-030-23957-2_4
Publikováno v:
Mathematics of Planet Earth ISBN: 9783030239565
As we move from two dimensional models, such as the shallow water equations discussed in the last chapter, to three dimensional models, the problem of efficient parallel iterative algorithms for implicit linear systems becomes an urgent priority. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a6bcf8bd7b3517e0579218ed7b3c343
https://doi.org/10.1007/978-3-030-23957-2_5
https://doi.org/10.1007/978-3-030-23957-2_5
Publikováno v:
Geoscientific Model Development, Vol 6, Iss 6, Pp 2099-2119 (2013)
Differential equations posed over immersed manifolds are of particular importance in studying geophysical flows; for instance, ocean and atmosphere simulations crucially rely on the capability to solve equations over the sphere. This paper presents t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c6e8862717f6db68810be74d0a35f00
https://www.geosci-model-dev.net/6/2099/2013/
https://www.geosci-model-dev.net/6/2099/2013/
Publikováno v:
McRae, A T T, Cotter, C J & Budd, C J 2018, ' Optimal-transport-based mesh adaptivity on the plane and sphere using finite elements ', SIAM Journal on Scientific Computing, vol. 40, no. 2, pp. A1121-A1148 . https://doi.org/10.1137/16M1109515
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 adapted to a scalar monitor function through equidistribution. Together with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ac6b3e7349dbf434d77a1964b7c421e
https://ora.ox.ac.uk/objects/uuid:8cd83e94-7701-4031-bb5c-d31ae0c604c9
https://ora.ox.ac.uk/objects/uuid:8cd83e94-7701-4031-bb5c-d31ae0c604c9
Publikováno v:
Budd, C J, McRae, A T T & Cotter, C J 2018, ' The scaling and skewness of optimally transported meshes on the sphere ', Journal of Computational Physics, vol. 375, pp. 540-564 . https://doi.org/10.1016/j.jcp.2018.08.028
Journal of Computational Physics
Journal of Computational Physics
In the context of numerical solution of PDEs, dynamic mesh redistribution methods (r-adaptive methods) are an important procedure for increasing the resolution in regions of interest, without modifying the connectivity of the mesh. Key to the success
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae636f84a9a21ba83fd6dc77bcdad5a0
Autor:
Colin J. Cotter, Andrew T. T. McRae
Publikováno v:
Quarterly Journal of the Royal Meteorological Society. 140:2223-2234
This article presents families of spatial discretizations of the nonlinear rotating shallow-water equations that conserve both energy and potential enstrophy. These are based on two-dimensional mixed finite-element methods and hence, unlike some fini
Autor:
Lawrence Mitchell, Gheorghe-Teodor Bercea, Luigi Nardi, Fabio Luporini, David A. Ham, Paul H. J. Kelly, Andrew T. T. McRae, Florian Rathgeber
We present a generic algorithm for numbering and then efficiently iterating over the data values attached to an extruded mesh. An extruded mesh is formed by replicating an existing mesh, assumed to be unstructured, to form layers of prismatic cells.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2ad42c8cff364cfe913150b9e567458
https://doi.org/10.5194/gmd-2016-140
https://doi.org/10.5194/gmd-2016-140
Publikováno v:
Journal of Advances in Modeling Earth Systems. 14(10)
Despite continuous improvements, precipitation forecasts are still not as accurate and reliable as those of other meteorological variables. A major contributing factor to this is that several key processes affecting precipitation distribution and int