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A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure

Article dans une revue avec comité de lecture
Author
PUSCAS, Maria Adela
2567 Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique [CERMICS]
MONASSE, Laurent
2567 Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique [CERMICS]
ERN, Alexandre
2567 Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique [CERMICS]
TENAUD, Christian
247329 Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [LIMSI]
MARIOTTI, Christian
119523 DAM Île-de-France [DAM/DIF]
ccDARU, Virginie
134975 Laboratoire de Dynamique des Fluides [DynFluid]

URI
http://hdl.handle.net/10985/10315
DOI
10.1016/j.jcp.2015.04.012
Date
2015
Journal
Journal of Computational Physics

Abstract

The objective of this work is to present a conservative coupling method between an inviscid compressible fluid and a deformable structure undergoing large displacements. The coupling method combines a cut-cell Finite Volume method, which is exactly conservative in the fluid, and a symplectic Discrete Element method for the deformable structure. A time semi-implicit approach is used for the computation of momentum and energy transfer between fluid and solid, the transfer being exactly balanced. The coupling method is exactly mass-conservative (up to round-off errors in the geometry of cut-cells) and exhibits numerically a long-time energy-preservation for the coupled system. The coupling method also exhibits consistency properties, such as conservation of uniform movement of both fluid and solid, absence of numerical roughness on a straight boundary, and preservation of a constant fluid state around a wall having tangential deformation velocity. The performance of the method is assessed on test cases involving shocked fluid flows interacting with two and three-dimensional deformable solids undergoing large displacements.

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