by John, V., Tabata, M., Tobiska, L..
Series: 1998-03, Preprints
We propose a new method for computing drag and lift acting
on bodies in channel flows by means of nonconforming finite
element approximations to the incompressible Navier--Stokes
equations. For the new formulas, a-priori error estimates
are given which cover both the standard nonconforming
finite element method and also stabilized discretizations
of upwind type to handle the case of higher Reynolds
numbers. For a two-dimensional DFG benchmark problem of a
laminar flow around a cylinder, numerical results of the
drag and the lift are presented. The numerical tests
confirm our theoretical results.
Navier-Stokes equations, drag and lift, nonconforming finie element methods