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

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Abstract

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.

Original languageEnglish
Pages (from-to)109-131
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume112
Issue number1-4
DOIs
Publication statusPublished - 1994
Externally publishedYes

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ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Engineering(all)

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