Time-explicit Darwin PIC algorithm

Barnes, D. C.

doi:10.1016/j.jcp.2022.111151

Time-explicit Darwin PIC algorithm

Journal Article · Thu Apr 14 00:00:00 EDT 2022 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2022.111151· OSTI ID:1870463

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Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

A new approach to Darwin particle-in-cell plasma simulation is described. Using a finite-element approach, the vector potential is assured to be exactly solenoidal. This allows writing the system of multi-species particles as an action-at-a-distance Hamiltonian system. Applying recently-developed explicit symplectic methods to this gives a time-explicit algorithm with all desired properties. Elliptic systems for the electrostatic and magneto-static portions of the problem are inverted efficiently by an algebraic multi-grid algorithm. The algorithm is implemented in a two-dimensional Cartesian-geometry code and tested by application to Weibel instability and to Alfvén wave dynamics. Results show the effectiveness of this approach. Extensions to arbitrary meshes and to a partially time-implicit scheme are briefly discussed.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1870463

Report Number(s):: SAND2022-4054J; 704683

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 462; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Darwin
Hamiltonian
Magnetostatic
PIC
Semi-implicit
Time-explicit

Time-explicit Darwin PIC algorithm

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References (19)

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