Particle-In-Cell Electrostatic Numerical Algorithm

Abstract

Existing global models of interaction between the solar wind (SW) and the local interstellar medium (LISM) describe the heliosphere that arises as a result of this interaction. There is a strong motivation to develop a kinetic model using the Particle-in-Cell (PIC) method to describe phenomena which appear in the heliosphere. This is however a long term scientific goal. This paper describes an electrostatic Particle-in-Cell numerical model developed in the Institute of Aviation in Warsaw, which includes mechanical and charge exchange collisions between particles in the probabilistic manner using Direct Simulation Monte Carlo method. This is the first step into developing simulations of the heliosphere incorporating kinetic effects in collisionless plasmas. In this paper we focus only on presenting the work, which have been done on the numerical PIC algorithm.

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

“…[9,10]. The numerical methods of approximate solving of continuous boundary-initial problems include the finite difference method (FDM) [11], smoothed particle hydrodynamics (SPH) method [12,13], finite point method [10,14], and particle-in-cell (PIC) method) [10,15]. Scientific conferences on plastic working allow for the exchange of experiences and views of scientists.…”

Interstellar medium magnetic field in bow shock modelling

“…The impact of the interstellar (IS) magnetic field on bow shock shape, intensity and radiation properties has been a subject of research for almost 30 years, mainly using magnetohydrodynamic (MHD) models (Pogorelov and Semenov, 1997; Ratkiewicz et al , 1998), because the base theory of shock waves can be considered a part of fluid mechanics modelling. During the past few years, IS magnetic field has been implemented into kinetic particle-in-cell (PIC) models (Yang et al , 2016; Konior, 2017), but although particle interactions at the scale of the astrospheres or heliosphere may be properly described using the family of hybrid-kinetic PIC codes, this type of modelling is still under development (Ratkiewicz and Kotlarz, 2016; Konior et al , 2018).…”