Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points

Fujima Shoichi, Tabata Masahisa*, Fukasawa Yasuji

*この研究の対応する著者

研究成果: Article査読

19 被引用数 (Scopus)

抄録

A new upwind finite element scheme for the three-dimensional incompressible Navier-Stokes equations at high Reynolds numbers is presented. This three-dimensional scheme is a natural extension of the two-dimensional scheme (M. Tabata and S. Fujima, Internat. J. Numer. Methods Fluids 12 (1991) 305-322), and it has a potential to approximate the convection term in third-order accuracy. Stability domains in terms of a stabilizing parameter and the time increment appearing in the scheme are investigated numerically. The method of decomposition used for a tetrahedral element is also explained. Numerical results of flow problems in a lid-driven square cavity and past a circular cylinder are shown.

本文言語English
ページ(範囲)109-131
ページ数23
ジャーナルComputer Methods in Applied Mechanics and Engineering
112
1-4
DOI
出版ステータスPublished - 1994
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンスの応用
  • 計算力学
  • 工学(全般)

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