Pressure-robust analysis of divergence-free and conforming FEM for
evolutionary incompressible Navier-Stokes flows
release_diuxdt23dreb7gzuwlfqhze6ze
by
Philipp W. Schroeder, Gert Lube
2017
Abstract
This article focusses on the analysis of a conforming finite element method
for the time-dependent incompressible Navier-Stokes equations. For
divergence-free approximations, in a semi-discrete formulation, we prove error
estimates for the velocity that hold independently of both pressure and
Reynolds number. Here, a key aspect is the use of the discrete Stokes
projection for the error splitting. Optionally, edge-stabilisation can be
included in the case of dominant convection. Emphasising the importance of
conservation properties, the theoretical results are complemented with
numerical simulations of vortex dynamics and laminar boundary layer flows.
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