Geometric electrostatic particle-in-cell algorithm on unstructured meshes
| Autor: | Choong-Seock Chang, Benjamin Sturdevant, Zhenyu Wang, Hong Qin |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
FOS: Physical sciences Electron Condensed Matter Physics 01 natural sciences Physics - Plasma Physics 010305 fluids & plasmas Plasma Physics (physics.plasm-ph) Discrete exterior calculus Physics::Plasma Physics Normal mode Variational principle Dispersion relation 0103 physical sciences Boundary value problem Particle-in-cell 010306 general physics Adiabatic process Algorithm |
| Zdroj: | Journal of Plasma Physics. 87 |
| ISSN: | 1469-7807 0022-3778 |
| Popis: | We present a geometric particle-in-cell (PIC) algorithm on unstructured meshes for studying electrostatic perturbations with frequency lower than electron gyrofrequency in magnetized plasmas. In this method, ions are treated as fully kinetic particles and electrons are described by the adiabatic response. The PIC method is derived from a discrete variational principle on unstructured meshes. To preserve the geometric structure of the system, the discrete variational principle requires that the electric field is interpolated using Whitney 1-forms, the charge is deposited using Whitney 0-forms and the electric field is computed by discrete exterior calculus. The algorithm has been applied to study the ion Bernstein wave (IBW) in two-dimensional magnetized plasmas. The simulated dispersion relations of the IBW in a rectangular region agree well with theoretical results. In a two-dimensional circular region with fixed boundary condition, the spectrum and eigenmode structures of the IBW are obtained from simulations. We compare the energy conservation property of the geometric PIC algorithm derived from the discrete variational principle with that of previous PIC methods on unstructured meshes. The comparison shows that the new PIC algorithm significantly improves the energy conservation property. |
| Databáze: | OpenAIRE |
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