| Autor: |
Sturdevant, Benjamin J., Ku, S., Chacón, L., Chen, Y., Hatch, D., Cole, M. D. J., Sharma, A. Y., Adams, M. F., Chang, C. S., Parker, S. E., Hager, R. |
| Rok vydání: |
2021 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1063/5.0047842 |
| Popis: |
A fully implicit particle-in-cell method for handling the $v_\parallel$-formalism of electromagnetic gyrokinetics has been implemented in XGC. By choosing the $v_\parallel$-formalism, we avoid introducing the non-physical skin terms in Amp\`{e}re's law, which are responsible for the well-known ``cancellation problem" in the $p_\parallel$-formalism. The $v_\parallel$-formalism, however, is known to suffer from a numerical instability when explicit time integration schemes are used due to the appearance of a time derivative in the particle equations of motion from the inductive component of the electric field. Here, using the conventional $\delta f$ scheme, we demonstrate that our implicitly discretized algorithm can provide numerically stable simulation results with accurate dispersive properties. We verify the algorithm using a test case for shear Alfv\'{e}n wave propagation in addition to a case demonstrating the ITG-KBM transition. The ITG-KBM transition case is compared to results obtained from other $\delta f$ gyrokinetic codes/schemes, whose verification has already been archived in the literature. |
| Databáze: |
arXiv |
| Externí odkaz: |
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