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Performance Tuning of Vlasov Code for Space Plasma on the K Computer

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 474))

Abstract

Space plasma is a collisionless, multi-scale, and highly nonlinear medium. Thus computer simulations are essential for full understanding of space plasma. In the present study, we develop a high-performance parallel Vlasov (collisionless Boltzmann) simulation code which is the first-principle method for collisionless space plasma. The performance tuning of the code has been made on various supercomputer systems such as the K computer, FX10 and CX400 supercomputer systems. The performance efficiency of more than 15% is achieved on these systems.

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References

  1. Ghizzo, A., Huot, F., Bertrand, P.: A non-periodic 2D semi-Lagrangian Vlasov code for aser-plasma interaction on parallel computer. J. Comput. Phys. 186, 47–69 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Schmitz, H., Grauer, R.: Kinetic Vlasov simulations of collisionless magnetic reconnection. Phys. Plasmas 13, 092309 (10pp.) (2006)

    Google Scholar 

  3. Idomura, Y., Ida, M., Kano, T., Aiba, N., Tokuda, S.: Conservative global gyrokinetic toroidal full-f five-dimensional Vlasov simulation. Comput. Phys. Commun. 179, 391–403 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Umeda, T., Fukazawa, K., Nariyuki, Y., Ogino, T.: A scalable full electromagnetic Vlasov solver for cross-scale coupling in space plasma. IEEE Trans. Plasma Sci. 40, 1421–1428 (2012)

    Article  Google Scholar 

  5. Idomura, Y., Nakata, M., Yamada, S., Machida, M., Imamura, T., Watanabe, T., Nunami, M., Inoue, H., Tsutsumi, S., Miyoshi, I., Shida, N.: Communication-overlap techniques for improved strong scaling of gyrokinetic Eulerian code beyond 100k cores on the K-computer. Int. J. High Perform. Comput. Appl. 28, 73–86 (2013)

    Article  Google Scholar 

  6. Umeda, T., Fukazawa, K.: Performance measurement of parallel Vlasov code for space plasma on scalar-type supercomputer systems with large number of cores. In: Tan, G., Yeo, G.K., Turner, S.J., Teo, Y.M. (eds.) AsiaSim 2013. CCIS, vol. 402, pp. 561–569. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  7. Shoucri, M., Gagne, R.R.J.: Numerical solution of the vlasov equation by transform methods. J. Comput. Phys. 22, 238–242 (1976)

    Article  Google Scholar 

  8. Cheng, C.Z., Knorr, G.: The integration of the Vlasov equation in configuration space. J. Comput. Phys. 22, 330–351 (1976)

    Article  Google Scholar 

  9. Minoshima, T., Matsumoto, Y., Amano, T.: Multi-moment advection scheme for Vlasov simulations. J. Comput. Phy. 230, 6800–6823 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Umeda, T., Togano, K., Ogino, T.: Structures of diffusion regions in collisionless magnetic reconnection. Phys. Plasmas 17, 052103 (6pp.) (2010)

    Google Scholar 

  11. Zenitani, S., Umeda, T.: Some remarks on the diffusion regions in magnetic reconnection. Phys. Plasmas 21, 034503 (5pp.) (2014)

    Google Scholar 

  12. Umeda, T., Miwa, J., Matsumoto, Y., Nakamura, T.K.M., Togano, K., Fukazawa, K., Shinohara, I.: Full electromagnetic Vlasov code simulation of the Kelvin-Helmholtz instability. Phys. Plasmas 17, 052311 (10pp.) (2010)

    Google Scholar 

  13. Umeda, T., Ueno, S., Nakamura, T.K.M.: Ion kinetic effects to nonlinear processes of the Kelvin-Helmholtz instability. Plasma Phys. Contr. Fusion 56, 075006 (11pp.) (2014)

    Google Scholar 

  14. Umeda, T., Kimura, T., Togano, K., Fukazawa, K., Matsumoto, Y., Miyoshi, T., Terada, N., Nakamura, T.K.M., Ogino, T.: Vlasov simulation of the interaction between the solar wind and a dielectric body. Phys. Plasmas 18, 012908 (7pp.) (2011)

    Google Scholar 

  15. Umeda, T.: Effect of ion cyclotron motion on the structure of wakes: A Vlasov simulation. Earth Planets Space 64, 231–236 (2012)

    Article  Google Scholar 

  16. Umeda, T., Ito, Y.: Entry of solar-wind ions into the wake of a small body with a magnetic anomaly: A global Vlasov simulation. Planet. Space Sci. 93-94, 35–40 (2014)

    Article  Google Scholar 

  17. Umeda, T., Togano, K., Ogino, T.: Two-dimensional full-electromagnetic Vlasov code with conservative scheme and its application to magnetic reconnection. Comput. Phys. Commun. 180, 365–374 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  18. Umeda, T.: A conservative and non-oscillatory scheme for Vlasov code simulations. Earth Planets Space 60, 773–779 (2008)

    Article  Google Scholar 

  19. Umeda, T., Nariyuki, Y., Kariya, D.: A non-oscillatory and conservative semi-Lagrangian scheme with fourth-degree polynomial interpolation for solving the Vlasov equation. Comput. Phys. Commun. 183, 1094–1100 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  20. Schmitz, H., Grauer, R.: Comparison of time splitting and backsubstitution methods for integrating Vlasov’s equation with magnetic fields. Comput. Phys. Commun. 175, 86–92 (2006)

    Article  MATH  Google Scholar 

  21. Yee, K.S.: Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antenn. Propagat. AP-14, 302–307 (1966)

    Google Scholar 

  22. High Performance Computing Infrastructure Portal Site, https://www.hpci-office.jp/folders/english

  23. K computer RIKEN Advanced Institute for Computational Science, http://www.kcomputer.jp/en/kcomputer/

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Umeda, T., Fukazawa, K. (2014). Performance Tuning of Vlasov Code for Space Plasma on the K Computer. In: Tanaka, S., Hasegawa, K., Xu, R., Sakamoto, N., Turner, S.J. (eds) AsiaSim 2014. AsiaSim 2014. Communications in Computer and Information Science, vol 474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45289-9_12

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  • DOI: https://doi.org/10.1007/978-3-662-45289-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45288-2

  • Online ISBN: 978-3-662-45289-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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