Geometric Particle-in-Cell Simulations of the Vlasov--Maxwell System in Curvilinear Coordinates

DOI10.1137/20M1311934zbMath1466.65142arXiv2002.09386MaRDI QIDQ5857616

Eric Sonnendrücker, Katharina Kormann, Benedikt Perse

Publication date: 1 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09386

zbMATH Keywords

curvilinear coordinatesparticle-in-cellfinite element exterior calculusVlasov-Maxwellgeometric numerical methods

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Vlasov equations (35Q83) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items

Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes, A broken FEEC framework for electromagnetic problems on mapped multipatch domains, An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint, High-order structure-preserving algorithms for plasma hybrid models, Geometric particle-in-cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons, Quasi-Helmholtz decomposition, Gauss' laws and charge conservation for finite element particle-in-cell, Energy conserving particle-in-cell methods for relativistic Vlasov-Maxwell equations of laser-plasma interaction

Uses Software

• CPIC
• GEMPIC

Cites Work

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