Upwind finite element scheme for high-Reynolds-number flows

Masahisa Tabata, Shoichi Fujima

研究成果: Article

32 引用 (Scopus)

抜粋

A new upwind finite element scheme for the incompressible Navier-Stokes equations at high Reynolds number is presented. The idea of the upwind technique is based on the choice of upwind and downwind points. This scheme can approximate the convection term to third-order accuracy when these points are located at suitable positions. From the practical viewpoint of computation, the algorithm of the pressure Poisson equation procedure is adopted in the framework of the finite element method. Numerical results of flow problems in a cavity and past a circular cylinder excellent dependene of solutions on the Reynolds number. The influence of rounding errors causing Karman vortex shedding is also discussed in the latter problem.

元の言語English
ページ(範囲)305-322
ページ数18
ジャーナルInternational Journal for Numerical Methods in Fluids
12
発行部数4
出版物ステータスPublished - 1991 1 1
外部発表Yes

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Condensed Matter Physics

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