Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are "black boxes". It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasi-Newton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).
Bibliographical noteFunding Information:
The authors gratefully acknowledge the funding of Joris Degroote and Peter Bruggeman by a Ph.D. fellowship of the Research Foundation-Flanders (FWO). Joris Degroote acknowledges a grant for a long stay abroad at the Massachusetts Institute of Technology (MIT) of the Research Foundation-Flanders. Jan Vierendeels acknowledges the funding by Research Project G027508 of the Research Foundation-Flanders and the Ghent University Association.
- Aitken relaxation
- Fluid-structure interaction
- Least-squares model