Modeling of fluid-structure interactions with the space-time techniques

We provide an overview of the space-time finite element techniques developed by the Team for Advanced Flow Simulation and Modeling (T{black star}AFSM) for modeling of fluid-structure interaction problems. The core method is the Deforming- Spatial-Domain/Stabilized Space-Time formulation, complemented with the mesh update methods, including the Solid-Extension Mesh Moving Technique and Move- Reconnect-Renode Mesh Update Method. Also complementing the core method are the block-iterative, quasi-direct and direct coupling methods for the solution of the fully-discretized, coupled fluid and structural mechanics equations. Additionally, the Surface-Edge-Node Contact Tracking technique is introduced as a contact algorithm for the purpose of protecting the quality of the fluid mechanics mesh between the structural surfaces coming into contact. We present mesh-moving tests and numerical examples with incompressible flows and membrane and cable structures.