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Sixth International Conference on Computational Fluid Dynamics, ICCFD6, St Petersburg : Russie, Fédération De (2010)
A Conservative Coupling Method for Fluid-Structure Interaction in the Compressible Case
Laurent Monasse 1, 2, 3, Virginie Daru 2, 4, Christian Mariotti 3, Serge Piperno 1, Christian Tenaud 2
(2011)

We propose a general explicit coupling method between a Finite Volume method for compressible flow and a rigid body. The coupling strategy is based on the idea of Embedded Boundary methods (Pember et al., J. Comput. Phys. 120:278-304, 1995). The fluxes are computed everywhere in the Cartesian grid, and are modified at the solid boundaries to enforce fluid mass conservation. The coupling between the fluid and the solid is designed to ensure a balance in momentum and energy. We prove the exact numerical conservation of several simple uniform flows. An illustrative example of the liftoff of a cylinder by a shock wave is presented and compared with existing results.
1:  Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS)
Ecole des Ponts ParisTech
2:  Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [Orsay] (LIMSI)
CNRS : UPR3251 – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Paris XI - Paris Sud
3:  DAM Île-de-France (DAM/DIF)
CEA : DAM/DIF
4:  Laboratoire de Dynamique des Fluides (DynFluid)
Arts et Métiers ParisTech – Conservatoire National des Arts et Métiers (CNAM) : EA92
Mathematics/Probability

Physics/Mechanics/Mechanics of the fluids

Engineering Sciences/Mechanics/Fluids mechanics