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New applications for the Boris Spectral Deferred Correction algorithm for plasma simulations

Author

Listed:
  • Smedt, Kris
  • Ruprecht, Daniel
  • Niesen, Jitse
  • Tobias, Steven
  • Nättilä, Joonas

Abstract

The paper investigates two new use cases for the Boris Spectral Deferred Corrections (Boris-SDC) time integrator for plasma simulations. First, we show that using Boris-SDC as a particle pusher in an electrostatic particle-in-cell (PIC) code can, at least in the linear regime, improve simulation accuracy compared with the standard second order Boris method. In some instances, the higher order of Boris-SDC even allows a much larger time step, leading to modest computational gains. Second, we propose a modification of Boris-SDC for the relativistic regime. Based on an implementation of Boris-SDC in the RUNKO PIC code, we demonstrate for a relativistic Penning trap that Boris-SDC retains its high order of convergence for velocities ranging from 0.5c to >0.99c.

Suggested Citation

  • Smedt, Kris & Ruprecht, Daniel & Niesen, Jitse & Tobias, Steven & Nättilä, Joonas, 2023. "New applications for the Boris Spectral Deferred Correction algorithm for plasma simulations," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    • Handle: RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322007743
    DOI: 10.1016/j.amc.2022.127706
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