A Method to Derive Fluid-Structure Interaction Reduced-Order Models for Biomedical Applications*

We discuss a method to derive Fluid-Structure Interaction (FSI) Reduced-Order Models (ROMs) for biomedical applications. We use Proper Orthogonal Decomposition (POD) method, which is widely used in deriving ROMs based on results from Computational Fluid Dynamic (CFD), combined with the Immersed Boundary (IB) method. The IB method enhances the POD method to handle large-amplitude displacements without changing the mesh connectivity, thus consuming much less time compared with the topology-changing CFD methods. Another major advantage of the IB method is that it could directly be combined with the Snapshot-POD method to create FSI ROMs. We first conduct training CFD simulations with pre-defined structural motion using the IB method, and then use the snapshot POD method to generate POD modes of the flow field. Then we couple these POD modes with structural modes to create FSI ROMs.