4 papers · 1 filter
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…
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes
Thomas Apel, Volker Kempf, Alexander Linke +1
Most classical finite element schemes for the (Navier-)Stokes equations are neither pressure-robust, nor are they inf-sup stable on general anisotropic triangulations. A lack of pr…
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…