Fully eulerian formulation for fluid-structure interactions

Abstract

This chapter is devoted to an alternative monolithic formulation for fluid-structure interactions. While the ALE scheme was based on a mapping of the Eulerian fluid system (formula presented) onto a fixed reference framework (formula presented) to be coupled with the Lagrangian solid domain, the Fully Eulerian formulation goes the other way around. Both problems, fluid as well as solid are modeled on the moving Eulerian domains (formula presented) and (formula presented) connected by the moving interface (formula presented). The general approach is comparable. Both subproblems can be variationally coupled such that we arrive at a monolithic global system. A conceptual difference is in the kind of interface treatment.