We describe the structure of an original application of the method of moments to the Vlasov–Poisson system with non constant strong magnetic field in three dimensions of space. Using basis functions which are aligned with the magnetic field, one obtains a Friedrichs system where the kernel of the singular part is made explicit. A projection of the original model on this kernel yields what we call the reduced model. Basic numerical tests of the field illustrate the accuracy of our implementation. A new generating formula for Laguerre polynomials is obtained in the appendix as a byproduct of the analysis.
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Frédérique Charles 1; Bruno Després 1; Ruiyang Dai 1; Sever A. Hirstoaga 2
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@article{CRMECA_2023__351_S1_307_0,
author = {Fr\'ed\'erique Charles and Bruno Despr\'es and Ruiyang Dai and Sever A. Hirstoaga},
title = {Discrete moments models for {Vlasov} equations with non constant strong magnetic limit},
journal = {Comptes Rendus. M\'ecanique},
pages = {307--329},
publisher = {Acad\'emie des sciences, Paris},
volume = {351},
number = {S1},
year = {2023},
doi = {10.5802/crmeca.219},
language = {en},
}
TY - JOUR AU - Frédérique Charles AU - Bruno Després AU - Ruiyang Dai AU - Sever A. Hirstoaga TI - Discrete moments models for Vlasov equations with non constant strong magnetic limit JO - Comptes Rendus. Mécanique PY - 2023 SP - 307 EP - 329 VL - 351 IS - S1 PB - Académie des sciences, Paris DO - 10.5802/crmeca.219 LA - en ID - CRMECA_2023__351_S1_307_0 ER -
%0 Journal Article %A Frédérique Charles %A Bruno Després %A Ruiyang Dai %A Sever A. Hirstoaga %T Discrete moments models for Vlasov equations with non constant strong magnetic limit %J Comptes Rendus. Mécanique %D 2023 %P 307-329 %V 351 %N S1 %I Académie des sciences, Paris %R 10.5802/crmeca.219 %G en %F CRMECA_2023__351_S1_307_0
Frédérique Charles; Bruno Després; Ruiyang Dai; Sever A. Hirstoaga. Discrete moments models for Vlasov equations with non constant strong magnetic limit. Comptes Rendus. Mécanique, The scientific legacy of Roland Glowinski, Volume 351 (2023) no. S1, pp. 307-329. doi : 10.5802/crmeca.219. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.219/
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