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ABSTRACT
For realistic geodynamo simulations, one must solve the magnetohydrodynamic equations to follow time development of thermal convection motion of electrically conducting fluid in a rotating spherical shell. We have developed a new geodynamo simulation code by combining the finite difference method with the recently proposed spherical overset grid called Yin-Yang grid. We achieved performance of 15.2 Tflops (46% of theoretical peak performance) on 4096 processors of the Earth Simulator.
REFERENCES
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2
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[2] Shinichi Habata, Mitsuo Yokokawa, and Shigemune Kitawaki. The Earth Simulator System. NEC Res. & Develop., 44(1):21-26, 2003.
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3
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[3] Keisuke Hirai, Keiko Takahashi, Hidenori Aiki, Koji Goto, and Kunihiko Watanabe. Development of non-hydrostatic ocean circulation simulation code on the Earth Simulator. Proc. of The 2004 workshop on the solution of partial differential equations on the sphere, page 65, 2004.
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4
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[4] A. Kageyama, T. Sato, K. Watanabe, R. Horiuchi, T. Hayashi, Y. Todo, T.H. Watanabe, and H. Takamaru. Computer simulation of a magnetohydrodynamic dynamo. II. Phys. Plasmas, 2:1421-1431, 1995.
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5
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[5] Akira Kageyama, Marcia M. Ochi, and Tetsuya Sato. Flip-flop transitions of the magnetic intensity and polarity reversals in the magnetohydrodynamic dynamo. Phy. Rev. Lett., 82:5409-5412, 1999.
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6
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[6] Akira Kageyama and Tetsuya Sato. Generation mechanism of a dipole field by a magnetohydrodynamic dynamo. Phys. Rev. E, 55:4617-4626, 1997.
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7
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[7] Akira Kageyama and Tetsuya Sato. The "Yin-Yang Grid": An overset grid in spherical geometry. Geochem. Geophys. Geosys., in press; preprint: arXive:physics/0403123, 2004.
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Dimitri Komatitsch , Seiji Tsuboi , Chen Ji , Jeroen Tromp, A 14.6 billion degrees of freedom, 5 teraflops, 2.5 terabyte earthquake simulation on the Earth Simulator, Proceedings of the 2003 ACM/IEEE conference on Supercomputing, p.4, November 15-21, 2003
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9
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[9] Kenji Komine, Keiko Takahashi, and Kunihiko Watanabe. Development of a global non-hydrostatic simulation code using yin-yang grid system. Proc. of The 2004 workshop on the solution of partial differential equations on the sphere, pages 67-69, 2004.
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10
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[10] Masaru Kono and Paul H. Roberts. Recent geodynamo simulations and observations of the geomagnetic field. Rev. Geophys., 40:1013, 2002.
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11
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[11] Jinghong Li, Tetsuya Sato, and Akira Kageyama. Repeated and sudden reversals of the dipolefield generated by a spherical dynamo action. Science, 295: 1887-1890, 2002.
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12
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[12] Kengo Nakajima. Three-level hybrid vs. flat MPI on the Earth Simulator: Parallel iterative solvers for unstructured grids on GeoFEM platform. RIST/TOKYO GeoFEM Report, 2002-007, 2002.
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13
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[13] Marcia M. Ochi, Akira Kageyama, and Tetsuya Sato. Dipole and octapolefield reversals in a rotating spherical shell: Magnetohydrodynamic dynamo simulation. Physics of Plasmas, 6:777-787, 1999.
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14
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[14] Mitsuru Ohdaira, Keiko Takahashi, and Kunihiko Watanabe. Validation for the solution of shallow water equations in spherical geometry with overset grid system. Proc. of The 2004 workshop on the solution of partial differential equations on the sphere, page 71, 2004.
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Hitoshi Sakagami , Hitoshi Murai , Yoshiki Seo , Mitsuo Yokokawa, 14.9 TFLOPS three-dimensional fluid simulation for fusion science with HPF on the Earth Simulator, Proceedings of the 2002 ACM/IEEE conference on Supercomputing, p.1-14, November 16, 2002, Baltimore, Maryland
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16
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Satoru Shingu , Hiroshi Takahara , Hiromitsu Fuchigami , Masayuki Yamada , Yoshinori Tsuda , Wataru Ohfuchi , Yuji Sasaki , Kazuo Kobayashi , Takashi Hagiwara , Shin-ichi Habata , Mitsuo Yokokawa , Hiroyuki Itoh , Kiyoshi Otsuka, A 26.58 Tflops global atmospheric simulation with the spectral transform method on the Earth Simulator, Proceedings of the 2002 ACM/IEEE conference on Supercomputing, p.1-19, November 16, 2002, Baltimore, Maryland
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17
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[17] Joseph L. Steger, F. Carroll Dougherty, and John A. Benek. A Chimera grid scheme. Advances in Grid Generation, edited by K.N. Ghia and U. Ghia: 59-69, 1983.
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18
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Keiko Takahashi , Xindong Peng , Kenji Komine , Mitsuru Ohdaira , Yosuke Abe , Takeshi Sugimura , Keisuke Hirai , Koji Goto , Hiromitsu Fuchigami , Masayuki Yamada , Kunihiko Watanabe, Development of Nonhydrostatic Coupled Ocean-Atmosphere Simulation Code on the Earth Simulator, Proceedings of the High Performance Computing and Grid in Asia Pacific Region, Seventh International Conference on (HPCAsia'04), p.487-494, July 20-22, 2004
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[19] Peng Xindong, Feng Xiao, Keiko Takahashi, and Takashi Yabe. Conservative CIP transport in meteorological model. JSME International Journal, to be published, 2004.
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Mitsuo Yokokawa , Ken'ichi Itakura , Atsuya Uno , Takashi Ishihara , Yukio Kaneda, 16.4-Tflops direct numerical simulation of turbulence by a Fourier spectral method on the Earth Simulator, Proceedings of the 2002 ACM/IEEE conference on Supercomputing, p.1-17, November 16, 2002, Baltimore, Maryland
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[21] Masaki Yoshida and Akira Kageyama. Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell. Geophys. Res. Lett., 31:doi:10.1029/2004GL019970, 2004.
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