Speaker
Martina Bukač, University of Notre Dame
Abstract
Fluid-structure interaction problems arise in many applications. In biomedicine, such models are used to describe the interaction between blood and arterial walls. Other applications include geomechanics and aerodynamics. The numerical simulation of fluid – structure interaction problems has received considerable attention, but still remains a significant challenge in the mathematical and computational sciences. Main difficulties stem from the intricate multiphysics nature of the problem, and strong nonlinearities. In this talk, we will present some recent advances in numerical approximation of fluid-structure interaction problems. In particular, we will present a strongly coupled partitioned method, which is second-order accurate in time. We will also present a partitioned method based on the recursive correction approach, where at each time step two additional problem solves are needed compared to a loosely coupled scheme. The advantage of this method is that its computational efficacy is comparable to the one of the loosely coupled scheme, but with accuracy compared to the one of strongly coupled methods.