A mechanically consistent model for fluid–structure interactions with contact including seepage

We present a new approach for the mechanically consistent modelling and simulation of fluid–structure interactions (FSI) with contact. The fundamental idea consists combining relaxation contact conditions seepage through porous layer co-dimension one during For latter, Darcy model is considered in thin attached to solid boundary limit infinitesimal thickness. resulting computational both simple implement. FSI coupling are imposed weakly by means unified Nitsche approach. analyse detailed numerical studies thick- thin-walled solids, within fully Eulerian an immersed using fitted unfitted finite element discretisations.