An Energy Stable Monolithic Eulerian Fluid-Structure Finite Element Method

Abstract : When written in an Eulerian frame, the conservation laws of continuum mechanic are similar for fluids and solids leading to a single set of variables for a monolithic formulation; the only difference is in the expression of the stress tensors. Such monolithic formulations are well adapted to large displacement fluid-structure configurations, but stability is a challenging problem because of moving geometries. In this article the method and its discretization are presented, stability is discussed for an implicit in time finite element method in space by showing that energy decreases with time. The key numerical ingredient is the Galerkin-Characteric method coupled with a powerful mesh generator. A numerical section discusses implementation issues and presents a few simple tests. AMS classification 65M60 (74F10 74S30 76D05 76M25).
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International Journal for Numerical Methods in Fluids, Wiley, 2017, pp.1-17. 〈10.1002/fld.4388〉
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Dernière modification le : jeudi 11 janvier 2018 - 06:12:16

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Frédéric Hecht, Olivier Pironneau. An Energy Stable Monolithic Eulerian Fluid-Structure Finite Element Method . International Journal for Numerical Methods in Fluids, Wiley, 2017, pp.1-17. 〈10.1002/fld.4388〉. 〈hal-01326785v2〉

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