A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
Journal article, 1990

In this paper a streamline diffusion finite element method is introduced for the time-dependent incompressible Navier-Stokes equations in a bounded domnain in R^2 and R^3 in the case of high Reynolds number flow. An error estimate is proved and numerical results are given. The method is based on a mixed velocity-pressure formulation using the same finite element discretization of space-time for the velocity and the pressure spaces, which consists of piecewise linear functions, together with certain least-squares modifications of the Galerkin variational formulation giving added stability without sacrificing accuracy.


Peter F G Hansbo


Anders Szepessy

Computer Methods in Applied Mechanics and Engineering

Vol. 84 1990 175-192

Subject Categories

Computational Mathematics

Fluid Mechanics and Acoustics

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