An Error Analysis of Streaklines as Curves

Kazuhiro Itakura*, Masahisa Tabata

*この研究の対応する著者

研究成果: Article査読

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.

本文言語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
16
1
出版ステータスPublished - 1999 2
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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