论文标题

使用瞬间方法的改进Sugama碰撞操作员的数值实现

Numerical Implementation of the Improved Sugama Collision Operator Using a Moment Approach

论文作者

Frei, B. J., Ernst, S., Ricci, P.

论文摘要

Sugama等人最近引入的线性化陀螺仪(GK)和漂移运动(DK)改进的Sugama(IS)碰撞算子的数值实现。 [物理。报道了等离子体26,102108(2019)]。 IS碰撞操作员扩大了广泛使用的原始Sugama(OS)操作员的有效性[Sugama等,Phys。等离子体16,112503(2009)] Pfirsch-Schlüter碰撞制度。使用扰动的陀螺仪分布函数的HERMITE-LAGUERRE速度空间分解,我们称为陀螺仪方法,IS碰撞操作员以代数系数的形式编写,这些代数系数依赖于碰撞物种和孔子孔的质量和温度比率。进行了IS,OS和库仑碰撞算子之间的比较,表明在H模式基座条件下,在捕获电子模式(TEM)的情况下,IS碰撞操作员能够近似于库仑碰撞算子,而不是OS操作员。另外,IS运算符导致山脉流量(ZF)残留水平,该残留物在库仑和OS碰撞算子之间具有中间值。还显示IS操作员可以预测平行的电导率,该电导率接近库仑一个算子之一,而OS操作员可以将平行电子电流低于至少10%。最后,给出了IS,OS和库仑算子的最低阶陀螺仪的封闭分析公式,这些分析公式已准备好用来描述减少陀螺仪流体模型中的碰撞效应。

The numerical implementation of the linearized gyrokinetic (GK) and drift-kinetic (DK) improved Sugama (IS) collision operators, recently introduced by Sugama et al. [Phys. Plasmas 26, 102108 (2019)], is reported. The IS collision operator extends the validity of the widely-used original Sugama (OS) operator [Sugama et al., Phys. Plasmas 16, 112503 (2009)] to the Pfirsch-Schlüter collisionality regime. Using a Hermite-Laguerre velocity-space decomposition of the perturbed gyrocenter distribution function that we refer to as the gyro-moment approach, the IS collision operator is written in a form of algebraic coefficients that depend on the mass and temperature ratios of the colliding species and perpendicular wavenumber. A comparison between the IS, OS, and Coulomb collision operators is performed, showing that the IS collision operator is able to approximate the Coulomb collision operator in the case of trapped electron mode (TEM) in H-mode pedestal conditions better than the OS operator. In addition, the IS operator leads to a level of zonal flow (ZF) residual which has an intermediate value between the Coulomb and the OS collision operators. The IS operator is also shown to predict a parallel electrical conductivity that approaches the one of the Coulomb operator within less than 1%, while the OS operator can underestimate the parallel electron current by at least 10%. Finally, closed analytical formulae of the lowest-order gyro-moments of the IS, OS, and Coulomb operators are given that are ready to use to describe collisional effects in reduced gyro-moment fluid models.

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