A highly scalable, algorithm-based fault-tolerant solver for gyrokinetic plasma simulations

Abstract

With future exascale computers expected to have millions of compute units distributed among thousands of nodes, system faults are predicted to become more frequent. Fault tolerance will thus play a key role in HPC at this scale. In this paper we focus on solving the 5-dimensional gyrokinetic Vlasov-Maxwell equations using the application code GENE as it represents a high-dimensional and resource-intensive problem which is a natural candidate for exascale computing. We discuss the Fault-Tolerant Combination Technique, a resilient version of the Combination Technique, a method to increase the discretization resolution of existing PDE solvers. For the first time, we present an efficient, scalable and fault-tolerant implementation of this algorithm for plasma physics simulations based on a manager-worker model and test it under very realistic and pessimistic environments with simulated faults. We show that the Fault-Tolerant Combination Technique - an algorithm-based forward recovery method - can tolerate a large number of faults with a low overhead and at an acceptable loss in accuracy. Our parallel experiments with up to 32k cores show good scalability at a relative parallel efficiency of 93.61%. We conclude that algorithm-based solutions to fault tolerance are attractive for this type of problems.