本文研究了在H模基座上的反磁漂移对低$n$磁流体动力学不稳定性的影响,其中$n$为环模数,平衡时考虑了自举电流,稳定时考虑了旋转效应. AEGIS(Adaptive Eigenfunction Independent Solutions)码[L. J. Zheng,M. T. Kotschenreuther,J. Comp. Phys. { \bf 211},(2006)]扩展到包括抗磁漂移效应。这可以看作是考虑基座处压力梯度陡度的有限拉莫尔半径效应的最低阶近似。本文用VMEC程序[P. Hirshman和J.C. Whitson,Phys. Fluids { \bf 26},3553(1983)],其中考虑了自举电流。一般来说,抗磁漂移效应是稳定的。我们的研究结果表明,抗磁稳定的有效性敏感地依赖于安全系数值($q_s$)在安全系数反转或平台区。当$q_s$大于某个整数时,抗磁稳定性较弱,而当$q_s$小于或小于某个整数时,抗磁稳定性较强。我们还发现,抗磁漂移效应也敏感地依赖于旋转方向。相对于离子抗磁漂移方向,在同向旋转情况下的抗磁稳定性比在反向旋转情况下的强。
英文摘要:
The diamagnetic drift effects on the low-$n$ magnetohydrodynamic instabilities at the high-mode (H-mode) pedestal are investigated in this paper with the inclusion of bootstrap current for equilibrium and rotation effects for stability, where $n$ is the toroidal mode number. The AEGIS (Adaptive EiGenfunction Independent Solutions) code [L. J. Zheng, M. T. Kotschenreuther, J. Comp. Phys. {\bf 211}, (2006)] is extended to include the diamagnetic drift effects. This can be viewed as the lowest order approximation of the finite Larmor radius effects in consideration of the pressure gradient steepness at the pedestal. The H-mode discharges at Jointed European Torus (JET) is reconstructed numerically using the VMEC code [P. Hirshman and J. C. Whitson, Phys. Fluids {\bf 26}, 3553 (1983)], with bootstrap current taken into account. Generally speaking, the diamagnetic drift effects are stabilizing. Our results show that the effectiveness of diamagnetic stabilization depends sensitively on the safe factor value ($q_s$) at the safety-factor reversal or plateau region. The diamagnetic stabilization are weaker, when $q_s$ is larger than an integer; while stronger, when $q_s$ is smaller or less larger than an integer. We also find that the diamagnetic drift effects also depend sensitively on the rotation direction. The diamagnetic stabilization in the co-rotation case is stronger than in the counter rotation case with respect to the ion diamagnetic drift direction.