Computer simulation using particles
Computer simulation using particles
Performance and optimization of direct implicit particle simulation
Journal of Computational Physics
Multi-scale particle-in-cell plasma simulation
Journal of Computational Physics
Bounded multi-scale plasma simulation: application to sheath problems
Journal of Computational Physics
Plasma Physics Via Computer
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality
Journal of Computational Physics
Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering
Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
A recent proof-of-principle study proposes an energy- and charge-conserving, nonlinearly implicit electrostatic particle-in-cell (PIC) algorithm in one dimension [9]. The algorithm in the reference employs an unpreconditioned Jacobian-free Newton-Krylov method, which ensures nonlinear convergence at every timestep (resolving the dynamical timescale of interest). Kinetic enslavement, which is one key component of the algorithm, not only enables fully implicit PIC as a practical approach, but also allows preconditioning the kinetic solver with a fluid approximation. This study proposes such a preconditioner, in which the linearized moment equations are closed with moments computed from particles. Effective acceleration of the linear GMRES solve is demonstrated, on both uniform and non-uniform meshes. The algorithm performance is largely insensitive to the electron-ion mass ratio. Numerical experiments are performed on a 1D multi-scale ion acoustic wave test problem.