Imperial College London

ProfessorColinCotter

Faculty of Natural SciencesDepartment of Mathematics

Professor of Computational Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 3468colin.cotter

 
 
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Location

 

755Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Natale:2017:10.1002/qj.3063,
author = {Natale, A and Cotter, CJ},
doi = {10.1002/qj.3063},
journal = {Quarterly Journal of the Royal Meteorological Society},
pages = {1734--1745},
title = {Scale-selective dissipation in energy-conserving finite element schemes for two-dimensional turbulence},
url = {http://dx.doi.org/10.1002/qj.3063},
volume = {143},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We analyze the multiscale properties of energy-conserving upwind-stabilized finite-element discretizations of the two-dimensional incompressible Euler equations. We focus our attention on two particular methods: the Lie derivative discretization introduced by Natale and Cotter and the Streamline Upwind/Petrov–Galerkin (SUPG) discretization of the vorticity advection equation. Such discretizations provide control on enstrophy by modelling different types of scale interactions. We quantify the performance of the schemes in reproducing the non-local energy backscatter that characterizes two-dimensional turbulent flows.
AU - Natale,A
AU - Cotter,CJ
DO - 10.1002/qj.3063
EP - 1745
PY - 2017///
SN - 0035-9009
SP - 1734
TI - Scale-selective dissipation in energy-conserving finite element schemes for two-dimensional turbulence
T2 - Quarterly Journal of the Royal Meteorological Society
UR - http://dx.doi.org/10.1002/qj.3063
UR - http://hdl.handle.net/10044/1/48050
VL - 143
ER -