Upwind finite element scheme for high-Reynolds-number flows

Masahisa Tabata, Shoichi Fujima

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)305-322
Number of pages18
JournalInternational Journal for Numerical Methods in Fluids
Volume12
Issue number4
Publication statusPublished - 1991 Jan 1
Externally publishedYes

Fingerprint

vortex shedding
high Reynolds number
circular cylinders
Poisson equation
Navier-Stokes equation
Reynolds number
finite element method
convection
Finite Element
cavities
Vortex shedding
Circular cylinders
Navier Stokes equations
Vortex Shedding
Rounding error
Incompressible Navier-Stokes Equations
Circular Cylinder
Poisson's equation
Finite element method
Convection

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

Cite this

Upwind finite element scheme for high-Reynolds-number flows. / Tabata, Masahisa; Fujima, Shoichi.

In: International Journal for Numerical Methods in Fluids, Vol. 12, No. 4, 01.01.1991, p. 305-322.

Research output: Contribution to journalArticle

Tabata, Masahisa ; Fujima, Shoichi. / Upwind finite element scheme for high-Reynolds-number flows. In: International Journal for Numerical Methods in Fluids. 1991 ; Vol. 12, No. 4. pp. 305-322.
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