4 papers
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman +3
Discretization of Navier-Stokes' equations using pressure-robust finite element methods is considered for the high Reynolds number regime. To counter oscillations due to dominating…
Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem
Derk Frerichs, Christian Merdon
Non divergence-free discretisations for the incompressible Stokes problem may suffer from a lack of pressure-robustness characterised by large discretisations errors due to irrotat…
A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem
Mine Akbas, Thierry Gallouet, Almut Gassmann +2
A novel notion for constructing a well-balanced scheme - a gradient-robust scheme - is introduced and a showcase application for a steady compressible, isothermal Stokes equations…
Induced charge electroosmotic flow with finite ion size and solvation effects
Jürgen Fuhrmann, Clemens Guhlke, Christian Merdon +2
The most common mathematical models for electrolyte flows are based on the dilute solution assumption, leading to a coupled system of the Nernst--Planck--Poisson drift-diffusion eq…