Abstract
Quasi-Newton methods have proven to be an efficient way to couple partitioned solvers in fluid-structure interaction problems, as they are able to stabilize cases with high added-mass, as well as accelerate the convergence. However, these methods assume that the coupled system is a complete black-box, whereas often, its behavior is well approximated by a surrogate model. Such a model may be obtained by coarsening the system, simplifying the physics, reverting to analytical approximations or considering the system at a previous point in time. The principal idea of this work is to use an initial solution and a Jacobian provided by the surrogate model, to expedite the convergence even further. This article presents a new framework for the inclusion of surrogate models in quasi-Newton methods and positions several existing methods with respect to it.
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