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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Eulerian Techniques for Fluid-Structure Interactions: Part I – Modeling and Simulation
verfasst von : Stefan Frei, Thomas Richter, Thomas Wick
Erschienen in: Numerical Mathematics and Advanced Applications - ENUMATH 2013
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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 system matrix when the interface moves. Finally, we focus on the time-discretization for this moving interface problem.