First-principle Simulations of Bursting and Non-Bursting Alfvén Waves in ICRF Heated Tokamak Plasmas

Not scheduled
20m
Collective Phenomena

Speaker

Jialei Wang (National Institute for Fusion Science)

Description

Recurrent bursting Alfvénic instabilities, accompanied by a rapid and violent release of stored free energy, are deleterious to the plasma confinement and threaten vacuum vessel integrity. Unlike beam-driven Alfvén eigenmodes (AEs), which often exhibit bursting behavior [1], AEs during ion cyclotron resonance frequency (ICRF) heating typically maintain steady amplitudes [2,3], despite theoretical predictions suggesting the possibility of a bursting state [4,5]. This work reports the first comprehensive simulations of ICRF-induced AEs with fully relaxed minority ion distributions, where shear Alfvén wave (SAW) induced minority ion transport is self-consistently included during the tail formation. Bursting ICRF-induced AEs are obtained in multi-$n$ and single-$n$ simulations for a plasma with a low magnetic field $B_0=1.5\,\rm{T}$ and an ICRF resonance layer located at the magnetic axis, where $n$ is the toroidal mode number. The maximum minority ion beta in the non-bursting case reaches almost double that of the busting case. The results also show that resonance layer position and magnetic field strength play a decisive role in the occurrence of bursting ICRF-induced AEs, outweighing factors like RF power and multi-n interactions [6]. An increase in magnetic field strength can avoid the bursting of ICRF-induced AEs with a reduced minority ion transport, which benefits burning plasmas operating in strong magnetic fields.

Fig. 1 shows the bursting [top] and non-bursting [bottom] ICRF-induced AEs in a plasma with a low toroidal field $B_0=1.5\,\rm{T}$, with ICRF resonance layers located at the magnetic axis and located at the ρ⁄a=0.4 of the outer equatorial plane, respectively. The absorbed RF power is $6\,\rm{MW}$. A bursting mode is observed during the continuous hybrid simulation phase [$E_{kin}$ evolutions in blue] in the on-axis heating case. In these simulations, dominant harmonics with $𝑛 \le 8$ are retained. It should be noted that the ICRF-induced bursting mode can even be reproduced by considering only a single toroidal harmonic, which is very different from the results of beam-induced bursting mode [6]. The significant redistribution of minority ions can be noticed in both cases, indicating the necessity of including AE-induced transport in evaluating the ICRF heating. A much higher minority ion beta is achieved in the non-bursting case, but the stored minority ion energy is comparable between these two cases. The triggering mechanism of the bursting event will be presented at the conference. With a higher magnetic field $B_0=3.0\,\rm{T}$, the bursting AEs during on-axis heating will turn into a non-bursting state. The modes remain non-bursting even at a high RF power of $18\,\rm{MW}$.

Multi-phase simulations of ICRF-induced bursting (top) and non-bursting (bottom) events with a toroidal field of $B_0=1.5\,\rm{T}$. (Top) ICRF Resonance layer is located at the magnetic axis. (Bottom) ICRF Resonance layer is located at the $\rho/a=0.4$ of the outer equatorial plane. The middle and right panels show the minority hydrogen beta and mode structure at the selected moment, respectively. Kinetic energy evolutions with grey curves represent the phase with alternate classical and hybrid simulations, while the curves in blue indicate continuous hybrid simulations.

References
[1] Wong K L, Fonck R J, Paul S F, et al. Phys. Rev. Lett., 66, 1874 (1991).
[2] García-Muñoz M, Hicks N, Van Voornveld R, et al. Phys. Rev. Lett., 104, 185002 (2010).
[3] Kazakov Y O, Ongena J, Wright J C, et al. Nat. Phys., 13, 973 (2017).
[4] Berk H L, Breizman B N, Pekker M. Phys. Rev. Lett., 76,1256 (1996).
[5] Lilley M K, Breizman B N, Sharapov S E. Phys. Rev. Lett., 102, 195003 (2009).
[6] Bierwage A, Shinohara K, Todo Y, et al. Nat. Commun., 9, 3282 (2018).

Presentation type Oral

Author

Jialei Wang (National Institute for Fusion Science)

Co-authors

Prof. Yasushi Todo (National Institute for Fusion Science) Dr Ryohsuke Seki (National Institute for Fusion Science) Dr Andreas Bierwage (National Institutes for Quantum Science and Technology) Dr Naoto Tsujii (The University of Tokyo) Dr Kunihiro Ogawa (National Institute for Fusion Science) Dr Hao Wang (National Institute for Fusion Science) Dr Masahiko Sato (National Institute for Fusion Science) Prof. Zheng-Xiong Wang (Dalian University of Technology)

Presentation materials