Overview
This work systematically compares various particle pushers, specifically focusing on explicit schemes used for integrating relativistic particle trajectories within Particle-in-Cell (PIC) simulations. A key aspect of the research is the identification of a class of these schemes that can be generalized to achieve arbitrarily high order accuracy. The study also presents a comparison between the fourth-order and second-order variants of these identified schemes.
Research Context
PIC simulations are an essential tool for investigating kinetic processes in plasma physics. Many systems analyzed with PIC simulations involve particles moving at relativistic velocities. Accurate integration of these relativistic particle trajectories is critical, as is understanding potential sources of error in these integrations. This understanding is necessary to appropriately evaluate the validity of simulation outcomes. Over several decades, numerous integration schemes for relativistic particle trajectories in PIC simulations have been introduced, primarily with the goal of enhancing numerical accuracy in specific simulation scenarios.
Approach
The research involved a comprehensive comparison of particle pushers. The focus was specifically on explicit schemes. Within this category, an important class of schemes was found to be generalizable to an arbitrary high order. The study then proceeded to compare the performance of the fourth-order variants of these generalizable schemes with their second-order counterparts.
Findings
- PIC simulations are vital for studying kinetic processes in plasma physics.
- Many systems investigated through PIC simulations involve relativistic particles.
- Correct integration of relativistic particle trajectories and knowledge of error sources are crucial for validating simulation results.
- Various new integration schemes for relativistic particle trajectories have been proposed to improve numerical accuracy in specific scenarios.
- An important class of explicit relativistic particle pushers is generalizable to arbitrary high order.
- A comparison was performed between the fourth-order and second-order variants of these generalizable schemes.