用全波/福克-普朗克模型模拟高能离子和离子-回旋共振加热产生的增强聚变率

S. Frank, J. C. Wright, P. Rodriguez-Fernandez, N. T. Howard, P. Bonoli
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摘要

再现托卡马克中离子-回旋共振加热(ICRH)产生的快离子增强聚变率需要全波求解器和福克尔-普朗克求解器的自洽耦合,后者同时演化出多个共振离子物种。我们引入了一个新的自洽模型,该模型使用集成等离子体模拟器(IPS)迭代 TORIC 全波求解器和 CQL3D 福克-普朗克求解器。该模型利用在离子有限拉莫尔半径(FLR)限制下有效的准线性射频(RF)扩散算子,以及射频电场与由此产生的非麦克斯韦 FLR 介电张量,在平行和垂直速度空间中演化反弹平均离子分布函数。这样产生的非麦克斯韦 ICRH 模拟完全自洽、快速,并可与 TRANSP/GACODE/IPS-FASTRAN 等集成建模框架互操作。我们根据 Alcator C-Mod 中的实验数据对模型进行了验证,从而展示了模型的能力。然后,我们利用自洽的非麦克斯韦离子分布对 SPARC 进行了首次射频加热模拟,以研究利用离子回旋共振加热产生的快离子提高核聚变率的潜力。
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Simulating energetic ions and enhanced fusion rates from ion-cyclotron resonance heating with a full-wave/Fokker–Planck model
Reproducing fast-ion enhanced fusion rates from ion-cyclotron resonance heating (ICRH) in tokamaks requires the self-consistent coupling of a full-wave solver and a Fokker–Planck solver, which evolves multiple simultaneously resonant ion species. We introduce a new self-consistent model that iterates the TORIC full-wave solver with the CQL3D Fokker–Planck solver using the integrated plasma simulator (IPS). This model evolves the bounce-averaged ion distribution functions in both parallel and perpendicular velocity-space with a quasilinear radio frequency (RF) diffusion operator valid in the ion finite Larmor radius (FLR) limit and the RF electric fields with the resultant non-Maxwellian FLR dielectric tensor. This produces non-Maxwellian ICRH simulations that are fully self-consistent, fast, and interoperable with integrated modeling frameworks, such as TRANSP/GACODE/IPS-FASTRAN. We demonstrate our model's capabilities by validating it against experimental data in Alcator C-Mod. We then perform the first RF heating simulations of SPARC using self-consistent non-Maxwellian ion distributions to investigate the potential to enhance fusion rates using ion cyclotron resonance heating generated fast ions.
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