We present a three-dimensional (3-D) particle-in-cell (PIC) model and parallel code for the self-consistent motion of charged ultrarelativistic beams (${\it\gamma}\sim 10^{3}{-}10^{5}$) in supercolliders. We use the 3-D set of Maxwell’s equations for the electromagnetic fields, and the Vlasov equation for the distribution function of the beam particles. The model incorporates automatically the longitudinal effects, which can play a significant role in the cases of super-high densities. We present numerical results for the dynamics of two focused ultrarelativistic beams with a size ratio 10:1:100. The results demonstrate high efficiency of the proposed computational methods and algorithms, which are applicable to a variety of problems in relativistic plasma physics.
The work is devoted to a parallel realization of a hybrid model for study of plasma dynamics in axially symmetric open magnetic traps. The model is based on MHD approximation for electron component of the plasma and on the kinetic approach for ion component. In the model the particle-in-cells method (PIC) with explicit numerical schemes on staggered grids for the cylindrical coordinate system is applied. The permanent injection of the particles, the long characteristic times, the necessary grid resolution and the conditional stability of the method required development of parallel version of the algorithm. In the parallelization we use the mixed decomposition with static load balancing. We present the parallel algorithm as well as results of the computational experiments on plasma dynamics in regime of diamagnetic confinement in an open magnetic trap.
The report provides a brief overview of the numerical models used to solve plasma physics problems. The necessity of using hybrid models is shown, and a hybrid model that can be used in computer modeling of plasma flows in open magnetic systems is considered in more detail. The features of using hybrid models in two-dimensional cylindrical coordinates are given. To solve the equations of particle motion, the Boris algorithm is considered and its improvement is proposed based on the analytical solution of equations at a time step. We present a number of results of numerical simulation of the interaction of plasma flows obtained on the basis of a hybrid model. The calculations were performed in relation to the conditions of laboratory experiments with laser plasma at the KI-1 facility of the ILF SB RAS and the conditions of the diamagnetic regime at the CAT facility of the INP SB RAS.
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