Publications (23)
Parametric Finite Element Discretization of the Surface Stokes Equations
Hanne Hardering, Simon Praetorius
We study a higher-order surface finite element (SFEM) penalty-based discretization of the tangential surface Stokes problem. Several discrete formulations are investigated which ar…
The influence of finite size particles on fluid velocity and transport though porous media
Mirko Residori, Simon Praetorius, Pietro de Anna +1
Understanding the coupling between flow, hydrodynamic transport and dispersion of colloids with finite-size in porous media is a long-standing challenge. This problem is relevant f…
A Navier Stokes Phase Field Crystal Model for Colloidal Suspensions
Simon Praetorius, Axel Voigt
We develop a fully continuous model for colloidal suspensions with hydrodynamic interactions. The Navier Stokes Phase Field Crystal (NS-PFC) model combines ideas of dynamic density…
The Distributed and Unified Numerics Environment (DUNE), Version 2.10
Markus Blatt, Samuel Burbulla, Ansgar Burchardt +9
Version 2.10 of the Distributed and Unified Numerics Environment DUNE introduces a range of enhancements across its core and extension modules, with a continued emphasis on modern…
Liquid crystalline growth within a phase-field crystal model
Sai Tang, Simon Praetorius, Rainer Backofen +3
By using a phase-field crystal (PFC) model, the liquid-crystal growth of the plastic triangular phase is simulated with emphasis on crystal shape and topological defect formation.…
Tangential Errors of Tensor Surface Finite Elements
Hanne Hardering, Simon Praetorius
We discretize a tangential tensor field equation using a surface-finite element approach with a penalization term to ensure almost tangentiality. It is natural to measure the quali…