一种用于耦合剖面与平衡演化的快速集成托卡马克建模方法
A Rapid Integrated Tokamak Modelling Approach for Coupled Profile and Equilibrium Evolution
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中文总结 AI 辅助
提出一种快速集成托卡马克建模方法，耦合平衡与电流扩散，在类似ITER场景中实现比传统求解器快两个数量级的模拟，并验证了储能精度。
中文摘要 AI 辅助
在等离子体加热和电流爬升期间，托卡马克的热状态和磁状态在不同时间尺度上演化。我们提出了一种快速集成托卡马克建模方法，该方法将变分固定边界Grad-Shafranov平衡与稀疏粒子和能量通量匹配以及弱形式电流扩散耦合起来。研究了一个类似ITER的纯氘场景：在80 MW电子回旋加热于起始时刻施加的条件下，电流在20秒内从10 MA爬升至15 MA，随后是20秒的平顶期，再在20秒内降至14 MA。台基顶部的环向电流密度在爬升期间增加了一倍以上，然后在平顶期随着电流向内重新分布而下降。热储能从185.52 MJ上升到252.70 MJ，并在最初几秒内接近其最终值。使用聚变合成引擎（FUSE）进行的独立计算在60秒时给出了0.02%的储能差异，而最大的剖面差异出现在核心电流密度处。将耦合间隔减半，在所选径向分辨率下，储能变化最多为0.006%。该60秒脉冲，通过600个0.1秒的耦合间隔推进，在Apple M4 Pro上耗时8.62秒，比传统集成托卡马克建模求解器快至少两个数量级。
英文摘要
During plasma heating and current ramps the thermal and magnetic states of a tokamak evolve on different timescales. We present a rapid integrated tokamak modelling approach, which couples a variational fixed-boundary Grad--Shafranov equilibrium to sparse particle and energy flux matching and to weak-form current diffusion. An ITER-like pure-deuterium scenario is examined: a current ramp from 10 to 15~MA over 20~s, a 20~s flat-top and a 20~s ramp-down to 14~MA, under 80~MW of electron-cyclotron heating applied at the start. The toroidal current density at the pedestal top more than doubles during the ramp-up and then decreases during the flat-top as current redistributes inward. Thermal stored energy rises from 185.52 to 252.70~MJ and approaches its final value within the first few seconds. An independent calculation with the Fusion Synthesis Engine (FUSE) gives a stored-energy difference of 0.02\% at 60~s, whereas the largest profile differences occur in the core current density. Halving the coupling interval changes stored energy by at most 0.006\% at the selected radial resolution. The 60~s pulse, advanced through 600 coupling intervals of 0.1~s, takes 8.62~s on an Apple M4 Pro, which is at least two orders of magnitude faster than conventional integrated tokamak modelling solvers.
发表机构
- Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics, Dalian University of Technology（大连理工大学物理学院材料束改性教育部重点实验室）
- Beijing VeloAlpha Technology Co., Ltd.（北京维洛阿尔法科技有限公司）
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