Imperial College London
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ProfessorColinCotter

Faculty of Natural Sciences, Department 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{Cotter:2016:10.1016/j.jcp.2016.02.021,
author = {Cotter, CJ and Kuzmin, D},
doi = {10.1016/j.jcp.2016.02.021},
journal = {Journal of Computational Physics},
pages = {363--373},
title = {Embedded discontinuous Galerkin transport schemes with  localised limiters},
url = {http://dx.doi.org/10.1016/j.jcp.2016.02.021},
volume = {311},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Motivated by finite element spaces used for representation of temperature in the compatible fi-nite element approach for numerical weather prediction, we introduce locally bounded transportschemes for (partially-)continuous finite element spaces. The underlying high-order transportscheme is constructed by injecting the partially-continuous field into an embedding discontinuousfinite element space, applying a stable upwind discontinuous Galerkin (DG) scheme, and projectingback into the partially-continuous space; we call this an embedded DG transport scheme. Weprove that this scheme is stable in L2 provided that the underlying upwind DG scheme is. Wethen provide a framework for applying limiters for embedded DG transport schemes. StandardDG limiters are applied during the underlying DG scheme. We introduce a new localised form ofelement-based flux-correction which we apply to limiting the projection back into the partiallycontinuousspace, so that the whole transport scheme is bounded. We provide details in the specificcase of tensor-product finite element spaces on wedge elements that are discontinuous P1/Q1 inthe horizontal and continuous P2 in the vertical. The framework is illustrated with numericaltests.
AU  - Cotter,CJ
AU  - Kuzmin,D
DO  - 10.1016/j.jcp.2016.02.021
EP  - 373
PY  - 2016///
SN  - 0021-9991
SP  - 363
TI  - Embedded discontinuous Galerkin transport schemes with  localised limiters
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2016.02.021
UR  - https://www.sciencedirect.com/science/article/pii/S0021999116000759?via%3Dihub
UR  - http://hdl.handle.net/10044/1/29387
VL  - 311
ER  -
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