Date of Award
Doctor of Philosophy (PhD)
Dr. Hyesuk Lee
Dr. Leo Rebholz
Dr. Eleanor Jenkins
Dr. Timo Heister
Fluid-structure interaction (FSI) is ubiquitous in both manufacturing and nature. At the same time, models describing this phenomenon are highly sensitive and nonlinear. Providing an analytical solution to these models for a realistic set of initial and boundary conditions has proven to be intractable.
Within the domain of computational simulation, signiﬁcant eﬀort has been invested in de-veloping numerical methods to approximate solutions using these models. Current eﬀorts to date have included monolithic and partitioned schemes.
In this dissertation, a novel partitioned approach is detailed in the context of Galerkin ﬁnite elements using body ﬁtted meshes. It capitalizes upon the continuity of traction force on the interface shared between ﬂuid and structure subdomains. Introducing a Neumann control in lieu of this shared traction force, the problem is decoupled and permits solving ﬂuid and structure subproblems both independently and simultaneously.
Kuberry, Paul Allen, "An Optimization-Based Approach to Decoupling Fluid-Structure Interaction" (2015). All Dissertations. 1487.