A gaugecompatible Hamiltonian splitting algorithm for particleincell simulations using finite element exterior calculus
Abstract
A particleincell algorithm is derived with a canonical Poisson structure in the formalism of finite element exterior calculus. The resulting method belongs to the class of gaugecompatible splitting algorithms, which exactly preserve gauge symmetries and their associated conservation laws via the momentum map. We numerically demonstrate this time invariance of the momentum map and its usefulness in establishing precise initial conditions with a desired initial electric field and fixed background charge. The restriction of this canonical, finite element Poisson structure to the 1X2P $1\frac {1}{2}$dimensional phase space is also considered and simulated numerically.
 Publication:

Journal of Plasma Physics
 Pub Date:
 April 2022
 DOI:
 10.1017/S0022377822000290
 arXiv:
 arXiv:2110.10346
 Bibcode:
 2022JPlPh..88b8302G
 Keywords:

 plasma simulation;
 Physics  Plasma Physics
 EPrint:
 Journal of Plasma Physics, 88, no. 2 (2022): 835880202