A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction

The Dirichlet–Neumann scheme is the most common partitioned algorithm for fluid-structure interaction (FSI) and offers high flexibility concerning solvers employed two subproblems. Nevertheless, it not without shortcomings: to begin with, inherent added-mass effect often destabilizes numerical solution severely. Moreover, cannot be applied FSI problems in which an incompressible fluid fully enclosed by Dirichlet boundaries, as incapable of satisfying volume constraint. In last decade, interface quasi-Newton methods have proven control substantially speed up convergence adding a Newton-like update step coupling. They are, however, on incompressibility dilemma. As alternative, Robin-Neumann generalizes fluid's boundary condition Robin including Cauchy stresses. While this modification fact successfully tackles both drawbacks approach, price paid strong dependency weighting parameter, with very limited priori knowledge about good choices. This work proposes strategy merge these ideas benefit from their combined strengths. resulting quasi-Newton-accelerated compared Robin- variants. tests demonstrate that does only provide faster convergence, but also massively reduces influence mitigating main drawback algorithm.