Analysis of Dirichlet-Neumann and Neumann-Dirichlet: partitioned procedures in fluid-structure interaction problems

In recent decades, the development and application of respective modeling and simulation approaches for uid-structure interaction (FSI) problems have grasped much attention. While solving FSI problems, partitioned scheme shows its efficiency by using a modular algorithm in which the equations of fluid and structure are solved separately in an iterative manner through the exchange of suitable transmission conditions at the FS interface. The goal of this work is to verify in terms of the convergence behavior that using structure normal stress as the boundary condition along the FS interface in the fluid solver and hence prescribing displacement boundary condition for the structure is actually better than the opposite approach. In fact, the opposite approach has great numerical instabilities, especially when the iteration time step is small, but our proposed approach can reduced this instabilities and hence has a better convergence behavior.