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Accurate Parallel Algorithm for Tracking Inertial Particles in Large-Scale Direct Numerical Simulations of Turbulence

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9251))

Abstract

Statistics on the motion of small heavy (inertial) particles in turbulent flows with a high Reynolds number are physically fundamental to understanding realistic turbulent diffusion phenomena. An accurate parallel algorithm for tracking particles in large-scale direct numerical simulations (DNSs) of turbulence in a periodic box has been developed to extract accurate statistics on the motion of inertial particles. The tracking accuracy of the particle motion is known to primarily depend on the spatial resolution of the DNS for the turbulence and the accuracy of the interpolation scheme used to calculate the fluid velocity at the particle position. In this study, a DNS code based on the Fourier spectral method and two-dimensional domain decomposition method was developed and optimised for the K computer. An interpolation scheme based on cubic splines is implemented by solving tridiagonal matrix problems in parallel.

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Acknowledgement

This research used computational resources of the K computer provided by the RIKEN Advanced Institute for Computational Science through the HPCI System Research Project (Project ID: hp150174) and the supercomputer system at Nagoya University. The work is partially supported by “Joint Usage/Research Center for Interdisciplinary Large-scale Information Infrastructures” in Japan. This research was partly supported by KAKENHI, Grant Numbers: (B) 15H03603, and (C) 26390130.

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Correspondence to Takashi Ishihara .

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© 2015 Springer International Publishing Switzerland

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Ishihara, T., Enohata, K., Morishita, K., Yokokawa, M., Ishii, K. (2015). Accurate Parallel Algorithm for Tracking Inertial Particles in Large-Scale Direct Numerical Simulations of Turbulence. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2015. Lecture Notes in Computer Science(), vol 9251. Springer, Cham. https://doi.org/10.1007/978-3-319-21909-7_51

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  • DOI: https://doi.org/10.1007/978-3-319-21909-7_51

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21908-0

  • Online ISBN: 978-3-319-21909-7

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