A 400 trillion-grid Vlasov Simulation on Fugaku Supercomputer: large-scale Distribution of Cosmic Relic Neutrinos in a Six-dimensional Phase Space
A 400 trillion-grid Vlasov Simulation on Fugaku Supercomputer: large-scale Distribution of Cosmic Relic Neutrinos in a Six-dimensional Phase Space
复制标题
DOI：
10.1145/3458817.3487401
复制
发表时间：
2021-10
期刊：
影响因子：
--
通讯作者：
K. Yoshikawa;Satoshi Tanaka;N. Yoshida
中科院分区：
文献类型：
--
作者：
K. Yoshikawa;Satoshi Tanaka;N. Yoshida
本文报道了在Fugaku超级计算机上进行的宇宙遗迹中微子的Vlasov模拟和冷暗物质的N体模拟。中微子的引力动力学之后，第一次，直接集成在一个六维相空间的弗拉索夫方程。我们最大的模拟以自洽的方式结合了400万亿网格上的弗拉索夫模拟和3300亿体计算，并准确地再现了宇宙中中微子的非线性动力学。新的高阶Vlasov求解器是通过结合一系列最先进的数值方案和充分利用A64 FX处理器上的SIMD指令来优化的。我们的模拟的时间解决方案是一个数量级短于最大的N体模拟。在Fugaku上，性能可扩展到147，456个节点（700万个CPU核心）;弱扩展和强扩展效率分别为82% - 96%和82% -93%。
We report a Vlasov simulation of cosmic relic neutrinos combined with N -body simulation of cold dark matter in the context of large-scale structure formation in the Universe performed on Fugaku supercomputer. Gravitational dynamics of the neutrinos is followed, for the first time, by directly integrating the Vlasov equation in a six-dimensional phase space. Our largest simulation combines the Vlasov simulation on 400 trillion grids and 330 billion-body calculations in a self-consistent manner, and reproduces accurately the nonlinear dynamics of neutrinos in the Universe. The novel high-order Vlasov solver is optimized by combining an array of state-of-the-art numerical schemes and fully utilizing the SIMD instructions on the A64FX processors. Time-To-Solution of our simulation is an order of magnitude shorter than the largest N-body simulations. The performance scales excellently with up to 147,456 nodes (7 million CPU cores) on Fugaku; the weak and strong scaling efficiencies are 82% - 96% and 82% - 93%, respectively.