TL;DR
This paper presents a high-performance, portable implementation of spectral Poisson solvers, demonstrating improved accuracy and efficiency on diverse supercomputing architectures, including GPUs and CPUs.
Contribution
It introduces a performance portable implementation of the Vico-Greengard spectral Poisson solver with memory optimizations, outperforming traditional methods in accuracy and scalability.
Findings
Vico-Greengard method achieves higher accuracy with coarser grids.
Memory footprint reduction benefits GPU implementations.
Strong scaling efficiencies above 50% on multiple supercomputers.
Abstract
Vico et al. (2016) suggest a fast algorithm for computing volume potentials, beneficial to fields with problems requiring the solution of the free-space Poisson's equation, such as beam and plasma physics. Currently, the standard is the algorithm of Hockney and Eastwood (1988), with second order in convergence at best. The algorithm proposed by Vico et al. converges spectrally for sufficiently smooth functions i.e. faster than any fixed order in the number of grid points. We implement a performance portable version of the traditional Hockney-Eastwood and the novel Vico-Greengard Poisson solver as part of the IPPL (Independent Parallel Particle Layer) library. For sufficiently smooth source functions, the Vico-Greengard algorithm achieves higher accuracy than the Hockney-Eastwood method with the same grid size, reducing the computational demands of high resolution simulations since one…
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