Imperial College London
Portrait Picture

ProfessorColinCotter

Faculty of Natural Sciences, Department of Mathematics

Professor of Computational Mathematics
 
 
 
//

Contact

 

+44 (0)20 7594 3468colin.cotter

 
 
//

Location

 

755Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Egan:2022:10.1016/j.jcp.2022.111542,
author = {Egan, CP and Bourne, DP and Cotter, CJ and Cullen, MJP and Pelloni, B and Roper, SM and Wilkinson, M},
doi = {10.1016/j.jcp.2022.111542},
journal = {Journal of Computational Physics},
pages = {1--30},
title = {A new implementation of the geometric method for solving the Eady slice equations},
url = {http://dx.doi.org/10.1016/j.jcp.2022.111542},
volume = {469},
year = {2022}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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, where the PDE is approximated by a particle system. An important property of the discretisation is that it is energy conserving. We restate the geometric method in the language of semi-discrete optimal transport theory and exploit this to develop a fast implementation that combines the latest results from numerical optimal transport theory with a novel adaptive time-stepping scheme. Our results enable a controlled comparison between the Eady-Boussinesq vertical slice equations and their semi-geostrophic approximation. We provide further evidence that weak solutions of the Eady-Boussinesq vertical slice equations converge to weak solutions of the semi-geostrophic Eady slice equations as the Rossby number tends to zero.
AU  - Egan,CP
AU  - Bourne,DP
AU  - Cotter,CJ
AU  - Cullen,MJP
AU  - Pelloni,B
AU  - Roper,SM
AU  - Wilkinson,M
DO  - 10.1016/j.jcp.2022.111542
EP  - 30
PY  - 2022///
SN  - 0021-9991
SP  - 1
TI  - A new implementation of the geometric method for solving the Eady slice equations
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2022.111542
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000859665600007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.sciencedirect.com/science/article/pii/S0021999122006040?via%3Dihub
UR  - http://hdl.handle.net/10044/1/100471
VL  - 469
ER  -
Download