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Fully Eulerian Formulation for Fluid-structure Interactions

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Fluid-structure Interactions

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 118))

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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 \(\mathcal{F}(t)\) onto a fixed reference framework \(\hat{\mathcal{F}}\) 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 \(\mathcal{F}(t)\) and \(\mathcal{S}(t)\) connected by the moving interface \(\mathcal{I}(t)\). 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.

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  1. Institut Für Analysis und Numerik, Universität Magdeburg, Magdeburg, Germany

    Thomas Richter

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Richter, T. (2017). Fully Eulerian Formulation for Fluid-structure Interactions. In: Fluid-structure Interactions. Lecture Notes in Computational Science and Engineering, vol 118. Springer, Cham. https://doi.org/10.1007/978-3-319-63970-3_6

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