Accurately Charge-Conserving Scheme Of Current Assignment Based On The Current Continuity Integral Equation For Particle-In-Cell Simulations?

In this paper we present a high-accuracy charge conservation scheme of current assignment for particle-in-cell (PIC) simulations in two dimensional space. The current continuity integral equation is applied to set up a linear equation set about the assigned currents on edges of the cells through which a particle moves during a time step. The currents on the edges can be very accurately assigned by solving the linear equation set. This scheme can be used in Cartesian and cylindrical geometry, and is not affected by the form-factor of quasi-particle. It has been applied to the PIC simulation of Z-pinch of the current-carrying rarefied deuterium plasma shell without resorting to the electric field correction by solving Poisson equation. The simulated results reveal that the relative and absolute errors in satisfying the current continuity integral equation and Poisson equation are very tiny. (C) 2021 Elsevier B.V. All rights reserved.