Keywords: domain decomposition method, multi-scale, fluid-structure interaction.

This work takes part in the prediction of failure for complex structures using refined material descriptions, like for example those used for composite materials. LMT-Cachan developed the LATIN method [1], this existing background motivated work to adapt those strategies to cases where the structure loading is induced by a fluid. Our goal is two-fold: to simulate the fluid flow with sufficient accuracy and to transfer the loading to the structure.

Among all the numerical fluid structure interaction methods we chose those using a fixed mesh. Despite easier interface capturing, moving mesh methods (eg. ALE) have the trade-off of costly remeshings. In order to keep a unique formalism for both fluid and solid, we propose to extend the LATIN method to a domain decomposition method for fluid flows.

In order to treat fluid-structure interaction, we propose to follow Baaijens and co-workers who adapted the distributed-Lagrange-multiplier/fictitious-domain method (DLM/FD) to fluid/elastic-body interactions [2]. Perspectives for fluid-structure interaction are presented: a fictitious domain method with penalty is proposed to cope with moving solid-fluid interfaces in the domain decomposition method.

1

P. Ladevèze, "Sur une famille d'algorithmes en mécanique des structures", Compte rendu de l'Académie des Sciences, 300, 41-44, 1985.

2

F.P.T. Baaijens, "A fictitious domain/mortar element method for fluid-structure interaction", International Journal for Numerical Methods in Engineering, 35, 743, 2001. doi:10.1002/1097-0363(20010415)35:7<743::AID-FLD109>3.0.CO;2-A

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