Conservative Charge and Current Deposition on Nonuniform 3D Cylindrical PIC Meshes with Residual Self-Field Diagnostics
Abstract
Particle-in-cell simulations on nonuniform cylindrical meshes require deposition schemes that respect cylindrical metrics while controlling numerical self-fields. This work develops cylindrical-volume-weighted charge and current deposition using nodal control volumes and swept-volume factors on logically structured stretched grids. Uniform-density and controlled-transport tests demonstrate accurate charge recovery, well-controlled current-density errors, and continuity residuals substantially lower than the corresponding current-density errors. Single-particle diagnostics show that charge-transport consistency alone does not ensure self-field cancellation; face-centered electric fields give the smallest residual, whereas cell-centered and shifted cell-centered layouts produce larger residuals.
Versions
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BibTeX
@misc{liu2026conservative,
title = {{Conservative Charge and Current Deposition on Nonuniform 3D Cylindrical PIC Meshes with Residual Self-Field Diagnostics}},
author = {Zhe Liu and Zhijun Zhou and Yinjian Zhao},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.09168},
eprint = {2606.09168},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.09168},
}
RIS
TY - UNPB
TI - Conservative Charge and Current Deposition on Nonuniform 3D Cylindrical PIC Meshes with Residual Self-Field Diagnostics
AU - Zhe Liu
AU - Zhijun Zhou
AU - Yinjian Zhao
PY - 2026
DA - 2026/06/08
PB - arXiv
DO - 10.48550/arxiv.2606.09168
UR - https://arxiv.org/abs/2606.09168
AB - Particle-in-cell simulations on nonuniform cylindrical meshes require deposition schemes that respect cylindrical metrics while controlling numerical self-fields. This work develops cylindrical-volume-weighted charge and current deposition using nodal control volumes and swept-volume factors on logically structured stretched grids. Uniform-density and controlled-transport tests demonstrate accurate charge recovery, well-controlled current-density errors, and continuity residuals substantially lower than the corresponding current-density errors. Single-particle diagnostics show that charge-transport consistency alone does not ensure self-field cancellation; face-centered electric fields give the smallest residual, whereas cell-centered and shifted cell-centered layouts produce larger residuals.
ER -