4 papers
Numerical investigation of a homogenized model with effective interface conditions for Stokes flow through porous membranes
Jonas Knoch, Pietro Italiano, Markus Gahn +2
We investigate numerically fluid flow through a thin porous layer, which is modelled as a lower-dimensional interface separating two bulk domains. At this interface, we impose effe…
Derivation and Numerical Simulation of a Thermodynamically Consistent Magneto Two-phase Flow Model
Eberhard Bänsch, Jonas Knoch, Nicolas Neuss +1
Motivated by Magnetic Drug Targeting (MDT), we derive a thermodynamically consistent two-phase model for the coupled dynamics of superparamagnetic iron oxide nanoparticles (SPIONs)…
Global well-posedness and numerical justification of an effective micro-macro model for reactive transport in elastic perforated media
Jonas Knoch, Markus Gahn, Maria Neuss-Radu
In this paper, we investigate an effective model for reactive transport in elastically deformable perforated media. This model was derived by formal asymptotic expansions in [25],…
Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium
Jonas Knoch, Markus Gahn, Maria Neuss-Radu +1
In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur i…