Fluidstructure partitioned procedures based on Robin transmission conditions
In this article we design new partitioned procedures for fluidstructure interaction problems, based on Robin-type transmission conditions. The choice of the coefficient in the Robin conditions is justified via simplified models. The strategy is effective whenever an incompressible fluid interacts with a relatively thin membrane, as in hemodynamics applications. We analyze theoretically the new iterative procedures on a model problem, which represents a simplified blood-vessel system. In particular, the RobinNeumann scheme exhibits enhanced convergence properties with respect to the existing partitioned procedures. The theoretical results are checked using numerical experimentation.
partitioned procedures transmission conditions fluidstructure interaction hemodynamics robin boundary conditions added-mass effect