Verification of a Fully Implicit Particle-in-Cell Method for the $v_\parallel$ Formalism of Electromagnetic Gyrokinetics in the XGC Code

التفاصيل البيبلوغرافية
العنوان: Verification of a Fully Implicit Particle-in-Cell Method for the $v_\parallel$ Formalism of Electromagnetic Gyrokinetics in the XGC Code
المؤلفون: 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.
سنة النشر: 2021
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - Plasma Physics
الوصف: 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case is compared to results obtained from other $\delta f$ gyrokinetic codes/schemes, whose verification has already been archived in the literature.
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0047842
URL الوصول: http://arxiv.org/abs/2106.06681
رقم الأكسشن: edsarx.2106.06681
قاعدة البيانات: arXiv