在现代加速处理器上使用3中心和4中心的2粒子高斯式AO积分
Andrey Asadchev1, Edward F Valeev1
1Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA.
The Journal of chemical physics
|June 27, 2024
概括
我们优化了McMurchie-Davidson算法用于电子积分的GPU计算,实现25-70%的量子化学计算的峰值性能. 这使得复杂的原子轨道积分能够高角度时刻的高效处理.
科学领域:
- 计算化学计算化学
- 量子化学 是一个量子化学.
- 高性能计算 高性能计算
背景情况:
- 精确计算电子排斥积分对于量子化学至关重要.
- 之前的工作集中在麦克默奇-戴维森算法的矩阵形式,用于GPU上的高角动量积分.
- 需要高效的算法来处理大型原子轨道 (AO) 基础集.
研究的目的:
- 实施和优化McMurchie-Davidson (MD) 算法用于3和4中心的2粒子积分.
- 为图形处理单元 (GPU) 适应该算法,具有不同的角动量和收缩度.
- 评估GPU实现的性能及其对Hartree-Fock交换计算的应用.
主要方法:
- 为GPU量身定制的MD算法的三个变体的实现.
- 利用非常规的数据布局进行高效的计算.
- 在高斯原子轨道 (AOs) 上评估的积分,角矩高达l=6.6.
- 使用双重精度和持续的硬件利用来评估性能.
主要成果:
- 在理论硬件峰值的25%到70%之间实现了持续的性能.
- 证明了对具有高角度矩数 (l ≤ 6) 的 AO 的积分的高效评估.
- 对Hartree-Fock交易所运营商的初步实施进行了大规模计算 (>20,000 AOs) 的评估.
结论:
- 用GPU加速的MD算法为计算电子积分提供了显著的性能改进.
- 实现支持具有高角矩和不同收缩的复杂积分.
- 开发的代码是开源的LibintX库的一部分,可以进行先进的量子化学计算.
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