Petascale turbulence simulation using a highly parallel fast multipole method

Details Petascale turbulence simulation using a highly parallel fast multipole method Petascale turbulence simulation using a highly parallel fast multipole method

2011-06-26

arxiv.org/abs/1106.5273v1

Computer Science

Numerical Analysis

Scientific paper

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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