基于赫尔米特插值的回旋平均算子优化
Optilization of the gyroaverage operator based on hermite interpolation
AI总结：
本文通过改进赫尔米特插值方法，优化回旋平均算子，降低计算成本并提升效率，适用于描述托卡马克等离子体湍流的gyrokinetic模型。
摘要：
gyrokinetic建模适用于描述托卡马克等离子体湍流，回旋平均算子是该方法的核心。在gyrokinetic代码中，回旋平均方案需要足够准确以避免破坏数据，同时要求计算成本低，因为它常用于主未知数5D引导中心分布函数和3D电势上。本文改进了Gysela代码中基于赫尔米特插值的回旋平均方案。初始实现占据了总执行时间的太大比例。回旋平均算子已重新公式化，现在表示为矩阵-向量积，并设置了一个缓存友好的算法。已研究了不同技术以将计算速度提高一倍以上。给出了算法的描述，以及所获性能的分析。
英文摘要：
Gyrokinetic modeling is appropriate for describing Tokamak plasma turbulence, and the gyroaverage operator is a cornerstone of this approach. In a gyrokinetic code, the gyroaveraging scheme needs to be accurate enough to avoid spoiling the data but also requires a low computation cost because it is applied often on the main unknown, the 5D guiding-center distribution function, and on the 3D electric potentials. In the present paper, we improve a gyroaverage scheme based on Hermite interpolation used in the Gysela code. This initial implementation represents a too large fraction of the total execution time. The gyroaverage operator has been reformulated and is now expressed as a matrix-vector product and a cache-friendly algorithm has been setup. Different techniques have been investigated to quicken the computations by more than a factor two. Description of the algorithms is given, together with an analysis of the achieved performance.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
