Experimental validation of momentum transport theory in the core of H-mode plasmas in the ASDEX Upgrade tokamak

C. F. B. Zimmermann, C. Angioni, R. McDermott, B. P. Duval, R. Dux, E. Fable, A. Salmi, U. Stroth, T. Tala, G. Tardini, T. Pütterich
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Abstract

This study employs the established momentum transport analysis at ASDEX Upgrade [Zimmermann et al., Nucl. Fusion 63, 124003 (2023)] to investigate the parametric variations of the momentum transport coefficients in the core of H-mode plasmas. These experimental results are compared to a comprehensive database of gyrokinetic calculations. Generally, good agreement between predicted and measured diffusive and convective transport coefficients is found. The predicted and measured Prandtl numbers correlate most dominantly with the magnetically trapped particle fraction. The experimentally inferred pinch numbers strongly depend on the logarithmic density gradient and magnetic shear, consistent with the theoretical predictions of the Coriolis pinch. The intrinsic torque from residual stress in the inner core is small, scales with the local logarithmic density gradient, and the data indicate a possible sign reversal. In the outer periphery of the core, the intrinsic torque is always co-current-directed and scales with the pressure gradient. This is consistent with prior experimental findings and global, non-linear gyrokinetic predictions. It suggests that profile shearing effects generate the intrinsic torque in the inner core. Toward the outer core, most likely, effects from E×B-shearing become more influential. These results offer the first comprehensive picture of this transport channel in the core plasma and contribute to validating the corresponding theoretical understanding. The derived scaling laws are used to construct a reduced momentum transport model, which has been validated against an additional dataset. This demonstrates that the model captures the essential contributions to momentum transport in the core of H-mode plasmas.
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ASDEX 升级型托卡马克中 H 模式等离子体核心动量传输理论的实验验证
本研究利用在 ASDEX 升级项目[Zimmermann 等人,Nucl. Fusion 63, 124003 (2023)]中建立的动量传输分析来研究 H 模式等离子体核心中动量传输系数的参数变化。这些实验结果与陀螺动力学计算的综合数据库进行了比较。一般来说,预测和测量的扩散和对流传输系数之间具有良好的一致性。预测和测量的普朗特尔数主要与磁捕获粒子分数相关。实验推断出的挤压数很大程度上取决于对数密度梯度和磁剪切力,这与科里奥利挤压的理论预测一致。内核残余应力产生的固有扭矩很小,与当地的对数密度梯度成比例,数据表明可能存在符号反转。在内核外围,固有扭矩始终是同向流动的,并与压力梯度成比例关系。这与之前的实验结果和全局非线性陀螺动力学预测相一致。这表明,剖面剪切效应产生了内核的固有扭矩。在外核,很可能是 E×B 剪切效应的影响更大。这些结果首次全面描述了内核等离子体中的这一传输通道,并有助于验证相应的理论认识。推导出的缩放定律被用于构建一个简化的动量传输模型,该模型已通过一个额外的数据集进行了验证。这表明该模型捕捉到了 H 模式等离子体内核动量传输的基本贡献。
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