TY - GEN
T1 - 16.4-TFLOPS direct numerical simulation of turbulence by a Fourier spectral method on the Earth Simulator
AU - Yokokawa, Mitsuo
AU - Itakura, Ken'ichi
AU - Uno, Atsuya
AU - Ishihara, Takashi
AU - Kaneda, Yukio
N1 - Funding Information:
The authors would like to express their deepest condolences in connection with the late Mr. Hajime Miyoshi, who initiated and directed the ES project. They would also like to thank Dr. Tetsuya Sato, the director of the Earth Simulator Center, for his warm encouragement of this study. The authors would also like to thank Mr. Minoru Saito of NEC Informatic Systems, Ltd. for his contribution in developing the code and to thank all the members of ESRDC and ESC who were engaged in the development of the ES for valuable discussions and comments.
Publisher Copyright:
© 2002 IEEE.
PY - 2002
Y1 - 2002
N2 - The high-resolution direct numerical simulations (DNSs) of incompressible turbulence with numbers of grid points up to 40963 have been executed on the Earth Simulator (ES). The DNSs are based on the Fourier spectral method, so that the equation for mass conservation is accurately solved. In DNS based on the spectral method, most of the computation time is consumed in calculating the three-dimensional (3D) Fast Fourier Transform (FFT), which requires huge-scale global data transfer and has been the major stumbling block that has prevented truly high-performance computing. By implementing new methods to efficiently perform the 3D-FFT on the ES, we have achieved DNS at 16.4 Tflops on 20483 grid points. The DNS yields an energy spectrum exhibiting a wide inertial subrange, in contrast to previous DNSs with lower resolutions, and therefore provides valuable data for the study of the universal features of turbulence at large Reynolds number.
AB - The high-resolution direct numerical simulations (DNSs) of incompressible turbulence with numbers of grid points up to 40963 have been executed on the Earth Simulator (ES). The DNSs are based on the Fourier spectral method, so that the equation for mass conservation is accurately solved. In DNS based on the spectral method, most of the computation time is consumed in calculating the three-dimensional (3D) Fast Fourier Transform (FFT), which requires huge-scale global data transfer and has been the major stumbling block that has prevented truly high-performance computing. By implementing new methods to efficiently perform the 3D-FFT on the ES, we have achieved DNS at 16.4 Tflops on 20483 grid points. The DNS yields an energy spectrum exhibiting a wide inertial subrange, in contrast to previous DNSs with lower resolutions, and therefore provides valuable data for the study of the universal features of turbulence at large Reynolds number.
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U2 - 10.1109/SC.2002.10052
DO - 10.1109/SC.2002.10052
M3 - Conference contribution
AN - SCOPUS:85117201228
T3 - Proceedings of the International Conference on Supercomputing
BT - Proceedings of the IEEE/ACM SC 2002 Conference, SC 2002
PB - Association for Computing Machinery
T2 - 2002 IEEE/ACM Conference on Supercomputing, SC 2002
Y2 - 16 November 2002 through 22 November 2002
ER -