Mechanically Consistent Modelling and Simulation of Fluid-Structure Interactions with Contact
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We present a mechanically consistent model for the numerical simulation of fluid-structure interactions (FSI) with contact. The main novelty compared to previous works is the consideration of seepage through a porous layer of co-dimension one during contact. For the latter, a Darcy model is considered in a thin porous layer attached to a solid boundary in the limit of infinitesimal thickness. To obtain a stable and efficient numerical algorithm, we use a relaxation of the contact conditions and a weak imposition of the FSI coupling and contact conditions by means of a unified Nitsche approach. The approach is tested in detailed numerical studies within a fully Eulerian finite element discretisation.
