论文标题

BGSDC积分器的性能用于计算核融合反应器中快速离子轨迹的性能

Performance of the BGSDC integrator for computing fast ion trajectories in nuclear fusion reactors

论文作者

Tretiak, Krasymyr, Buchanan, James, Akers, Rob, Ruprecht, Daniel

论文摘要

在融合反应堆中对中性束注射(NBI)进行建模需要计算大型颗粒的轨迹。放慢一秒钟的时间与纳秒时间步骤相结合,使这些模拟在计算上非常昂贵。本文探讨了BGSDC(一种新的数值时间步进方法)的性能,用于跟踪NBI在DIII-D和JET反应器中生成的离子。 BGSDC是Boris方法的高阶概括,将其与光谱递延校正和广义最小残留方法GMRE相结合。如果没有碰撞建模,可以准确量化数值漂移的情况,我们发现BGSDC可以以可比的成本或可比的成本以较低的成本提供比标准Boris集成符更高质量的粒子分布。对于碰撞模型,量化精度很困难,但我们表明BGSDC在比Boris更大的时间步骤中产生稳定的分布。

Modelling neutral beam injection (NBI) in fusion reactors requires computing the trajectories of large ensembles of particles. Slowing down times of up to one second combined with nanosecond time steps make these simulations computationally very costly. This paper explores the performance of BGSDC, a new numerical time stepping method, for tracking ions generated by NBI in the DIII-D and JET reactors. BGSDC is a high-order generalisation of the Boris method, combining it with spectral deferred corrections and the Generalized Minimal Residual method GMRES. Without collision modelling, where numerical drift can be quantified accurately, we find that BGSDC can deliver higher quality particle distributions than the standard Boris integrator at comparable cost or comparable distributions at lower cost. With collision models, quantifying accuracy is difficult but we show that BGSDC produces stable distributions at larger time steps than Boris.

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