Implicit reduced Vlasov–Fokker–Planck–Maxwell model based on high-order mixed elements

0548831 - FZÚ 2022 RIV US eng J - Journal Article
Nikl, Jan - Göthel, I. - Kuchařík, M. - Weber, Stefan A. - Bussmann, M.
Implicit reduced Vlasov–Fokker–Planck–Maxwell model based on high-order mixed elements.
Journal of Computational Physics. Roč. 434, June (2021), č. článku 110214. ISSN 0021-9991. E-ISSN 1090-2716
R&D Projects: GA MŠMT EF16_019/0000789; GA MŠMT EF15_003/0000449; GA MŠMT LQ1606
Grant - others:OP VVV - ADONIS(XE) CZ.02.1.01/0.0/0.0/16_019/0000789; OP VVV - HiFi(XE) CZ.02.1.01/0.0/0.0/15_003/0000449
Research Infrastructure: ELI Beamlines III - 90141
Institutional support: RVO:68378271
Keywords : Fokker–Planck * finite element method * non-local transport * implicit scheme * laser plasma
OECD category: Physical chemistry
Impact factor: 4.645, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.jcp.2021.110214

Detailed description of the transport processes in plasma is crucial for many disciplines. When the mean-free-path of the electrons is comparable or exceeds a characteristic length scale of the plasma profile, non-local behaviorcan be observed. Predictions of the diffusion theory are not valid and non-local electric and magnetic fields are generated. Kinetic modelingof these phenomena on time scales several orders of magnitude longer than the electron–electron collision time has proven to be cumbersome due to prohibitive requirements on the time step and violation of the conservation laws in the classical explicit Vlasov–Fokker–Planck methods. Therefore, a multi-dimensional conservative implicit Vlasov–Fokker–Planck–Maxwell method is proposed, where the distribution function is approximated by a truncated Cartesian tensor expansion.
Permanent Link: http://hdl.handle.net/11104/0324883