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We report on the successful completion of a 2 trillion particle cosmologicalsimulation to z=0 run on the Piz Daint supercomputer (CSCS, Switzerland), using4000+ GPU nodes for a little less than 80h of wall-clock time or 350,000 nodehours. Using multiple benchmarks and performance measurements on the US OakRidge National Laboratory Titan supercomputer, we demonstrate that our codePKDGRAV3, delivers, to our knowledge, the fastest time-to-solution forlarge-scale cosmological N-body simulations. This was made possible by usingthe Fast Multipole Method in conjunction with individual and adaptive particletime steps, both deployed efficiently (and for the first time) onsupercomputers with GPU-accelerated nodes. The very low memory footprint ofPKDGRAV3 allowed us to run the first ever benchmark with 8 trillion particleson Titan, and to achieve perfect scaling up to 18000 nodes and a peakperformance of 10 Pflops.

PKDGRAV3: Beyond Trillion Particle Cosmological Simulations for the Next Era of Galaxy Surveys