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Petascale turbulence simulation using a highly parallel fast multipole method

Rio Yokota, Tetsu Narumi, L. A. Barba, Kenji Yasuoka
Dept. of Mechanical Engineering, Boston University, Boston, MA 02215
arXiv:1106.5273v1 [cs.NA] (26 Jun 2011)

@article{Yokota:2011cs,

   author={Yokota, Rio and Narumi, Tetsu and Barba, L. A. and Yasuoka, Kenji},

   title={Petascale turbulence simulation using a highly parallel fast multipole method},

   year={2011},

   eprint={1106.5273},

   archivePrefix={arXiv},

   primaryClass={cs},

   SLACcitation={%%CITATION=1106.5273;%%}

}

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We present a 0.5 Petaflop/s calculation of homogeneous isotropic turbulence in a cube of 2048^3 particles, using a highly parallel fast multipole method (FMM) using 2048 GPUs on the TSUBAME 2.0 system. We compare this particle-based code with a spectral DNS code under the same calculation condition and the same machine. The results of our particle-based turbulence simulation match quantitatively with that of the spectral method. The calculation time for one time step is approximately 30 seconds for both methods; this result shows that the scalability of the FMM starts to become an advantage over FFT-based methods beyond 2000 GPUs.
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