In this work, we present an adaptive ﬁnite element method for the numerical simulation of stationary ﬂuid-structure interaction problems. The coupled system is given in a variational and monolithic Arbitrary Lagrangian Eulerian framework. We derive methods for goal-oriented error estimation and mesh adaptation with the dual weighted residual method. Key to applying this error estimator is the underlying canonic variational formulation of the ﬂuid-structure interaction problem by mapping the ﬂow problem to ALE coordinates. The developed method is applied to two and three dimensional stationary benchmark problems coupling the incompressible Navier-Stokes equations with a nonlinear hyper-elastic material law.
|Faculties / Institutes:||The Faculty of Mathematics and Computer Science > Department of Applied Mathematics|
|Uncontrolled Keywords:||fluid-structure interaction , DWR , goal-oriented error estimation , adaptive finite elements , ALE|