In this work, we present a Fully Eulerian framework for ﬂuid-structure interaction (fsi) problems coupling the incompressible Navier-Stokes equations with a hyperelastic solid. The Fully Eulerian framework is a monolithic implicit variational formulation for the coupled problem. In contrast to the well-established Arbitrary Lagrangian Eulerian (ALE) coordinates, the Fully Eulerian framework formulates both subproblems, ﬂuid and solid, in Eulerian coordinates. This concept circumvents various diﬃculties connected to ALE coordinates since no artiﬁcial domain mapping is used. The formulation is an interface-capturing method and uses an extension of the solid’s deformation, the Initial Point Set, to detect the interface location. By construction, very large deformation as well as topology changes like contact of the solid to the domain boundary or other solid parts are possible.
|Faculties / Institutes:||The Faculty of Mathematics and Computer Science > Department of Applied Mathematics|
|Uncontrolled Keywords:||finite elements , fluid-structure interaction , Eulerian , monolithic , interface-capturing|