Eulerian techniques for fluid-structure interactions: Part i-modeling and simulation

Abstract

This contribution is the first part of two papers on the Fully Eulerian formulation for fluid-structure interactions. We derive a monolithic variational formulation for the coupled problem in Eulerian coordinates. Further, we present the Initial Point Set method for capturing the moving interface. For the discretization of this interface problem, we introduce a modified finite element scheme that is locally fitted to the moving interface while conserving structure and connectivity of the systemmatrix when the interfacemoves. Finally, we focus on the time-discretization for this moving interface problem.