### 抄録

A streakline is a visible curve consisting of fluid particles which emerged continuously from a fixed point in a given flow field. In many cases we do not know the exact velocity field but can get an approximate velocity field. The computation of streaklines includes the discretization error as well as the error caused by the approximate velocity field. We give an error analysis of streaklines as curves in terms of τ and h, discretization parameters of the streakline and of the velocity field. We show that, when the velocity field is approximated piecewise linearly, a computation scheme based on the Heun method is the best choice to approximate streaklines from the viewpoint of accuracy and efficiency. We present simulation results of streaklines emerging from the surface of a circular cylinder at Reynolds numbers 100 and 10000.

元の言語 | English |
---|---|

ページ（範囲） | 1-23 |

ページ数 | 23 |

ジャーナル | Japan Journal of Industrial and Applied Mathematics |

巻 | 16 |

発行部数 | 1 |

出版物ステータス | Published - 1999 2 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### これを引用

*Japan Journal of Industrial and Applied Mathematics*,

*16*(1), 1-23.

**An Error Analysis of Streaklines as Curves.** / Itakura, Kazuhiro; Tabata, Masahisa.

研究成果: Article

*Japan Journal of Industrial and Applied Mathematics*, 巻. 16, 番号 1, pp. 1-23.

}

TY - JOUR

T1 - An Error Analysis of Streaklines as Curves

AU - Itakura, Kazuhiro

AU - Tabata, Masahisa

PY - 1999/2

Y1 - 1999/2

N2 - A streakline is a visible curve consisting of fluid particles which emerged continuously from a fixed point in a given flow field. In many cases we do not know the exact velocity field but can get an approximate velocity field. The computation of streaklines includes the discretization error as well as the error caused by the approximate velocity field. We give an error analysis of streaklines as curves in terms of τ and h, discretization parameters of the streakline and of the velocity field. We show that, when the velocity field is approximated piecewise linearly, a computation scheme based on the Heun method is the best choice to approximate streaklines from the viewpoint of accuracy and efficiency. We present simulation results of streaklines emerging from the surface of a circular cylinder at Reynolds numbers 100 and 10000.

AB - A streakline is a visible curve consisting of fluid particles which emerged continuously from a fixed point in a given flow field. In many cases we do not know the exact velocity field but can get an approximate velocity field. The computation of streaklines includes the discretization error as well as the error caused by the approximate velocity field. We give an error analysis of streaklines as curves in terms of τ and h, discretization parameters of the streakline and of the velocity field. We show that, when the velocity field is approximated piecewise linearly, a computation scheme based on the Heun method is the best choice to approximate streaklines from the viewpoint of accuracy and efficiency. We present simulation results of streaklines emerging from the surface of a circular cylinder at Reynolds numbers 100 and 10000.

KW - Error analysis

KW - Flows past a circular cylinder

KW - Hausdorff distance

KW - One-step methods for ordinary differential equations

KW - Streaklines

UR - http://www.scopus.com/inward/record.url?scp=0347156356&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347156356&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0347156356

VL - 16

SP - 1

EP - 23

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

SN - 0916-7005

IS - 1

ER -