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An upwind finite element scheme for high‐Reynolds‐number flows
Author(s) -
Tabata Masahisa,
Fujima Shoichi
Publication year - 1991
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650120402
Subject(s) - upwind scheme , reynolds number , mathematics , pressure correction method , finite element method , computational fluid dynamics , vortex shedding , compressibility , mathematical analysis , geometry , mechanics , turbulence , physics , discretization , thermodynamics
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 show excellent dependence of the solutions on the Reynolds number. The influence of rounding errors causing Karman vortex shedding is also discussed in the latter problem.