### 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.

Original language | English |
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Title of host publication | Parallel Computing Technologies - 13th International Conference, PaCT 2015, Proceedings |

Editors | Victor Malyshkin |

Publisher | Springer Verlag |

Pages | 522-527 |

Number of pages | 6 |

ISBN (Print) | 9783319219080 |

DOIs | |

Publication status | Published - 2015 |

Event | 13th International Conference on Parallel Computing Technologies, PaCT 2015 - Petrozavodsk, Russian Federation Duration: Aug 31 2015 → Sep 4 2015 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9251 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 13th International Conference on Parallel Computing Technologies, PaCT 2015 |
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Country | Russian Federation |

City | Petrozavodsk |

Period | 8/31/15 → 9/4/15 |

### Keywords

- Cubic spline interpolation
- Large-scale DNS of turbulence
- Parallel computation
- Particle tracking

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Parallel Computing Technologies - 13th International Conference, PaCT 2015, Proceedings*(pp. 522-527). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9251). Springer Verlag. https://doi.org/10.1007/978-3-319-21909-7_51