Abstract
As an entry for the 2009 Gordon Bell price/performance prize, we present the results of two different hierarchical N-body simulations on a cluster of 256 graphics processing units (GPUs). Unlike many previous N-body simulations on GPUs that scale as O(N2), the present method calculates the O(N log N) treecode and O(N) fast multipole method (FMM) on the GPUs with unprecedented efficiency. We demonstrate the performance of our method by choosing one standard application - a gravitational N-body simulation - and one non-standard application - simulation of turbulence using vortex particles. The gravitational simulation using the treecode with 1,608,044,129 particles showed a sustained performance of 42.15 TFlops. The vortex particle simulation of homogeneous isotropic turbulence using the periodic FMM with 16,777,216 particles showed a sustained performance of 20.2 TFlops. The overall cost of the hardware was 228,912 dollars. The maximum corrected performance is 28.1TFlops for the gravitational simulation, which results in a cost performance of 124 MFlops/$. This correction is performed by counting the Flops based on the most efficient CPU algorithm. Any extra Flops that arise from the GPU implementation and parameter differences are not included in the 124 MFlops/$.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, SC '09 |
| DOIs | |
| Publication status | Published - 2009 |
| Event | Conference on High Performance Computing Networking, Storage and Analysis, SC '09 - Portland, OR, United States Duration: 2009 Nov 14 → 2009 Nov 20 |
Other
| Other | Conference on High Performance Computing Networking, Storage and Analysis, SC '09 |
|---|---|
| Country | United States |
| City | Portland, OR |
| Period | 09/11/14 → 09/11/20 |
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ASJC Scopus subject areas
- Computer Networks and Communications
- Computer Science Applications
Cite this
42 TFlops hierarchical N-body simulations on GPUs with applications in both astrophysics and turbulence. / Hamada, Tsuyoshi; Narumi, Tetsu; Yokota, Rio; Yasuoka, Kenji; Nitadori, Keigo; Taiji, Makoto.
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, SC '09. 2009. 1654123.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - 42 TFlops hierarchical N-body simulations on GPUs with applications in both astrophysics and turbulence
AU - Hamada, Tsuyoshi
AU - Narumi, Tetsu
AU - Yokota, Rio
AU - Yasuoka, Kenji
AU - Nitadori, Keigo
AU - Taiji, Makoto
PY - 2009
Y1 - 2009
N2 - As an entry for the 2009 Gordon Bell price/performance prize, we present the results of two different hierarchical N-body simulations on a cluster of 256 graphics processing units (GPUs). Unlike many previous N-body simulations on GPUs that scale as O(N2), the present method calculates the O(N log N) treecode and O(N) fast multipole method (FMM) on the GPUs with unprecedented efficiency. We demonstrate the performance of our method by choosing one standard application - a gravitational N-body simulation - and one non-standard application - simulation of turbulence using vortex particles. The gravitational simulation using the treecode with 1,608,044,129 particles showed a sustained performance of 42.15 TFlops. The vortex particle simulation of homogeneous isotropic turbulence using the periodic FMM with 16,777,216 particles showed a sustained performance of 20.2 TFlops. The overall cost of the hardware was 228,912 dollars. The maximum corrected performance is 28.1TFlops for the gravitational simulation, which results in a cost performance of 124 MFlops/$. This correction is performed by counting the Flops based on the most efficient CPU algorithm. Any extra Flops that arise from the GPU implementation and parameter differences are not included in the 124 MFlops/$.
AB - As an entry for the 2009 Gordon Bell price/performance prize, we present the results of two different hierarchical N-body simulations on a cluster of 256 graphics processing units (GPUs). Unlike many previous N-body simulations on GPUs that scale as O(N2), the present method calculates the O(N log N) treecode and O(N) fast multipole method (FMM) on the GPUs with unprecedented efficiency. We demonstrate the performance of our method by choosing one standard application - a gravitational N-body simulation - and one non-standard application - simulation of turbulence using vortex particles. The gravitational simulation using the treecode with 1,608,044,129 particles showed a sustained performance of 42.15 TFlops. The vortex particle simulation of homogeneous isotropic turbulence using the periodic FMM with 16,777,216 particles showed a sustained performance of 20.2 TFlops. The overall cost of the hardware was 228,912 dollars. The maximum corrected performance is 28.1TFlops for the gravitational simulation, which results in a cost performance of 124 MFlops/$. This correction is performed by counting the Flops based on the most efficient CPU algorithm. Any extra Flops that arise from the GPU implementation and parameter differences are not included in the 124 MFlops/$.
UR - http://www.scopus.com/inward/record.url?scp=74049152899&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=74049152899&partnerID=8YFLogxK
U2 - 10.1145/1654059.1654123
DO - 10.1145/1654059.1654123
M3 - Conference contribution
AN - SCOPUS:74049152899
SN - 9781605587448
BT - Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, SC '09
ER -