Name
Title | ||
|---|---|---|
Petascale turbulence simulation using a highly parallel fast multipole method on GPUs. |
Abstract | ||
|---|---|---|
This paper reports large-scale direct numerical simulations of homogeneous-isotropic fluid turbulence, achieving sustained performance of 1.08 petaflop/s on gpu hardware using single precision. The simulations use a vortex particle method to solve the Navier–Stokes equations, with a highly parallel fast multipole method (fmm) as numerical engine, and match the current record in mesh size for this application, a cube of 40963 computational points solved with a spectral method. The standard numerical approach used in this field is the pseudo-spectral method, relying on the fft algorithm as the numerical engine. The particle-based simulations presented in this paper quantitatively match the kinetic energy spectrum obtained with a pseudo-spectral method, using a trusted code. In terms of parallel performance, weak scaling results show the fmm-based vortex method achieving 74% parallel efficiency on 4096 processes (one gpu per mpi process, 3 gpus per node of the tsubame-2.0 system). The fft-based spectral method is able to achieve just 14% parallel efficiency on the same number of mpi processes (using only cpu cores), due to the all-to-all communication pattern of the fft algorithm. The calculation time for one time step was 108 s for the vortex method and 154 s for the spectral method, under these conditions. Computing with 69 billion particles, this work exceeds by an order of magnitude the largest vortex-method calculations to date. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cpc.2012.09.011 | Computer Physics Communications |
Keywords | Field | DocType |
Isotropic turbulence,Fast multipole method,Integral equations,gpu | Single-precision floating-point format,CUDA,Computer science,Vortex,Parallel computing,Computational science,Fast Fourier transform,Fast multipole method,Spectral method,Petascale computing,Numerical analysis | Journal |
Volume | Issue | ISSN |
184 | 3 | 0010-4655 |
Citations | PageRank | References |
20 | 1.67 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rio Yokota | 1 | 209 | 25.73 |
| Lorena A. Barba | 2 | 52 | 7.70 |
| T. Narumi | 3 | 177 | 21.12 |
| Kenji Yasuoka | 4 | 116 | 13.59 |