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001049166 1001_ $$0P:(DE-Juel1)195613$$aMuralikrishnan, Sriramkrishnan$$b0$$eCorresponding author$$ufzj
001049166 245__ $$aError Analysis and Parallel Scaling Study of a Parareal Parallel-in-Time Integration Algorithm for Particle-in-Fourier Schemes
001049166 260__ $$aPhiladelphia, Pa.$$bSIAM$$c2025
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001049166 520__ $$aWe propose a parareal based time parallelization scheme in the phase-space for the particle-in-Fourier (PIF) discretization of the Vlasov–Poisson system used in kinetic plasma simulations. We use PIF with a coarse tolerance for the nonuniform fast Fourier transforms, or the standard particle-in-cell scheme, combined with temporal coarsening, as coarse propagators. This is different from the typical spatial coarsening of particles and/or Fourier modes for parareal, which are not possible or effective for PIF schemes. We perform an error analysis of the algorithm and verify the results numerically with Landau damping, two-stream instability, and Penning trap test cases in 3D-3V. We also implement the space-time parallelization of the PIF schemes in the open-source, performance-portable library IPPL and conduct scaling studies up to 1536 A100 GPUs on the JUWELS booster supercomputer. The space-time parallelization utilizing the parareal algorithm for the time parallelization provides up to 4–6 times speedup compared to spatial parallelization alone and achieves a push rate of around 1 billion particles per second for the benchmark plasma mini-apps considered.
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001049166 7001_ $$0P:(DE-Juel1)132268$$aSpeck, Robert$$b1$$ufzj
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