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arXiv · 2307.05683

WHFast512: A symplectic N-body integrator for planetary systems optimized with AVX512 instructions

Pejvak Javaheri·Hanno Rein·Dan Tamayo
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Abstract

We describe the implementation of the symplectic N-body integrator WHFast512 using Single Instruction Multiple Data (SIMD) parallelism and 512-bit Advanced Vector Extensions (AVX512). We are able to speed up integrations of planetary systems by up to 4.7x compared to the non-vectorized version of WHFast. WHFast512 can integrate the Solar System with 8 planets for 5 billion years in less than 1.4 days. To our knowledge, this makes WHFast512 the fastest direct N-body integrator for systems of this kind. As an example, we present an ensemble of 40-Gyr integrations of the Solar System. Ignoring the Sun's post-main sequence evolution, we show that the instability rate is well captured by a diffusion model. WHFast512 is freely available within the REBOUND package.

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Pejvak Javaheri, Hanno Rein, Dan Tamayo. 2023-07-11. WHFast512: A symplectic N-body integrator for planetary systems optimized with AVX512 instructions. https://doi.org/10.21105/astro.2307.05683

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