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Wednesday, March 20
Stable Partitioned Solvers for Compressible
J. W. Banks, Lawrence Livermore National Laboratory, Livermore, Calif.
Fluid-Structure Interaction Problems
Computer Science and Mathematics Division Seminar
10:00 AM — 11:00 AM, Joint Institute for Computational Sciences (Building 5100), Auditorium (Room 128)
Contact: Clayton Webster (firstname.lastname@example.org), 865.574.3649
AbstractIn this talk, we discuss recent work concerning the development and analysis of stable, partitioned solvers for fluid-structure interaction (FSI) problems. In a partitioned approach, the solvers for each fluid or solid domain are isolated from each other and coupled only through the interface. This is in contrast to fully-coupled monolithic schemes, where the entire system is advanced by a single unified solver, typically by an implicit method. Added-mass instabilities, common to partitioned schemes, are addressed through the use of a newly developed interface projection technique. The overall approach is based on imposing the exact solution to local fluid-solid Riemann problems directly in the numerical method. Stability of the FSI coupling is discussed using normal-mode stability theory, and the new scheme is shown to be stable for a wide range of material parameters. For the rigid body case, the approach is shown to be stable even for bodies of no mass or rotational inertia. This difficult limiting case exposes interesting subtleties concerning the notion of added mass in fluid-structure problems at the continuous level.