Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Degond:2016:10.1016/j.jcp.2016.11.018,
author = {Degond, PAA and Deluzet, F and Doyen, D},
doi = {10.1016/j.jcp.2016.11.018},
journal = {Journal of Computational Physics},
pages = {467--492},
title = {Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit},
url = {http://dx.doi.org/10.1016/j.jcp.2016.11.018},
volume = {330},
year = {2016}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - In this article, we design Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system inthe quasi-neutral limit, this limit being characterized by a Debye length negligible compared to the space scaleof the problem. These methods are consistent discretizations of the Vlasov-Maxwell system which, in thequasi-neutral limit, remain stable and are consistent with a quasi-neutral model (in this quasi-neutral model,the electric eld is computed by means of a generalized Ohm law). The derivation of Asymptotic-Preservingmethods is not straightforward since the quasi-neutral model is a singular limit of the Vlasov-Maxwell model.The key step is a reformulation of the Vlasov-Maxwell system which uni es the two models in a single setof equations with a smooth transition from one to another. As demonstrated in various and demandingnumerical simulations, the Asymptotic-Preserving methods are able to treat efficiently both quasi-neutralplasmas and non-neutral plasmas, making them particularly well suited for complex problems involving denseplasmas with localized non-neutral regions.
AU - Degond,PAA
AU - Deluzet,F
AU - Doyen,D
DO - 10.1016/j.jcp.2016.11.018
EP - 492
PY - 2016///
SN - 0021-9991
SP - 467
TI - Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit
T2 - Journal of Computational Physics
UR - http://dx.doi.org/10.1016/j.jcp.2016.11.018
UR - http://hdl.handle.net/10044/1/42561
VL - 330
ER -