Comparison of open boundary conditions realizations for continuous injection of an electron beam into a plasma in the case of the PIC and parabolic form-factors

Abstract

The paper is devoted to a comparison of methods for realizing open boundary conditions that allow continuous injection of a beam of charged particles into a plasma in the PIC model in the case of different particle form-factors, as well as with two variants of boundary conditions at plasma ends. It is shown that simulation results coincide for the PIC and parabolic form-factors for the problem of injecting an electron beam into a plasma in 1D geometry for all the boundary conditions under consideration. In 2D geometry, we find the discrepancy between these models, as well as the inapplicability of the Mur’s boundary conditions for electromagnetic fields simultaneously with the condition of equality of currents in boundary cells. The number of particles in a cell, which is necessary for convergence of calculations, for each method is determined.