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Penalization modeling of a limiter in the Tokamak edge plasma

机译:托卡马克边缘等离子体中的限制器的惩罚模型

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An original penalization method is applied to model the interaction of magnetically confined plasma with limiter in the frame of a minimal transport model for ionic density and parallel momentum. The limiter is considered as a pure particle sink for the plasma and consequently the density and the momentum are enforced to be zero inside. Comparisons of the numerical results with one-dimensional analytical solutions show a very good agreement. In particular, the penalization scheme followed in this paper tends to ensure an almost sonic plasma condition at the plasma-obstacle interface, Bohm-like criterion, with relatively weak dependence on the target Mach number profile within the obstacle. The new system being solved in a periodic obstacle free domain, an efficient pseudo-spectral algorithm based on a Fast Fourier transform is also proposed, and associated with an exponential filtering of the unphysical oscillations due to Gibbs phenomenon. Finally, the efficiency of the method is illustrated by investigating the flow spreading from the plasma core to the Scrape-Off Layer at the wall in a two-dimensional system with one, then two neighboring limiters.
机译:在离子密度和平行动量的最小传输模型的框架内,采用了原始的惩罚方法来模拟磁约束等离子体与限制器的相互作用。该限制器被认为是等离子体的纯粒子阱,因此其内部的密度和动量被强制为零。数值结果与一维解析解的比较显示出很好的一致性。尤其是,本文采用的惩罚方案倾向于确保在等离子体-障碍物界面的近似声波等离子体条件(类似于Bohm准则),并且对障碍物内目标马赫数分布的依赖性相对较弱。在周期无障碍域中求解该新系统,还提出了一种基于快速傅立叶变换的有效伪谱算法,该算法与因吉布斯现象引起的非物理振荡的指数滤波相关。最后,通过研究二维系统中从等离子体核心扩散到壁处的“刮除层”的流量来说明该方法的有效性,该二维系统具有一个,然后两个相邻的限制器。

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