Accelerating Particle-in-Cell Kinetic Plasma Simulations via Reduced-Order Modeling of Space-Charge Dynamics using Dynamic Mode Decomposition

Abstract

We present a data-driven reduced-order modeling of the space-charge dynamics for electromagnetic particle-in-cell (EMPIC) plasma simulations based on dynamic mode decomposition (DMD). The dynamics of the charged particles in kinetic plasma simulations such as EMPIC is manifested through the plasma current density defined along the edges of the spatial mesh. We showcase the efficacy of DMD in modeling the time evolution of current density through a low-dimensional feature space. Not only do such DMD-based predictive reduced-order models help accelerate EMPIC simulations, they also have the potential to facilitate investigative analysis and control applications. We demonstrate the proposed DMD-EMPIC scheme for reduced-order modeling of current density, and speed-up in EMPIC simulations involving electron beam under the influence of magnetic field, virtual cathode oscillations, and backward wave oscillator.

References in corpus (10)

• Dynamic Mode Decomposition for Large and Streaming Datasets
• Physics-constrained, low-dimensional models for MHD: First-principles and data-driven approaches
• Implementation of a hybrid particle code with a PIC description in r-z and a gridless description in $\varphi$ into OSIRIS
• Data-driven discovery of reduced plasma physics models from fully-kinetic simulations
• Characterizing Magnetized Plasmas with Dynamic Mode Decomposition
• Elimination of Numerical Cherenkov Instability in flowing-plasma Particle-In-Cell simulations by using Galilean coordinates
• Detection and Prediction of Equilibrium States in Kinetic Plasma Simulations via Mode Tracking using Reduced-Order Dynamic Mode Decomposition
• The use of the Biorthogonal Decomposition for the identification of zonal flows at TJ-II
• Kinetic instability in inductively oscillatory plasma equilibrium
• Overcoming timestep limitations in boosted-frame Particle-In-Cell simulations of plasma-based acceleration