Numerical analysis/Mathematical problems in mechanics
Splitting schemes for incompressible fluid/thin-walled structure interaction with unfitted meshes
[Schémas de couplage et maillages non compatibles pour l'interaction d'une structure mince avec un fluide incompressible]

Présenté par : Olivier Pironneau

Fernández, Miguel A.1, 2 ; Landajuela, Mikel1, 2
1 INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France
2 Sorbonne Universités, UPMC Univ Paris 6, Laboratoire Jacques-Louis-Lions, 4 Place Jussieu, 75252 Paris Cedex 05, France
Comptes Rendus. Mathématique, Tome 353 (2015) no. 7, pp. 647-652.

Nous présentons deux nouvelles classes de méthodes numériques avec des maillages non compatibles pour simuler l'interaction d'une structure mince avec un fluide incompressible. Le caractère semi-implicite ou explicite du couplage en temps dépend de l'ordre dans lequel les discrétisations spatiales et temporelles sont effectuées. Stabilité et précision optimale sont obtenues sans recourir à des conditions CFL restrictives ou à des itérations de correction.

We present two new classes of numerical methods for the solution to incompressible fluid/thin-walled structure interaction problems with unfitted meshes. The semi-implicit or explicit nature of the splitting in time is dictated by the order in which the spatial and time discretizations are performed. Stability and optimal accuracy are achieved without restrictive CFL conditions or correction iterations.

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Accepté le :
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DOI : 10.1016/j.crma.2015.04.003
Fernández, Miguel A. 1, 2 ; Landajuela, Mikel 1, 2

1 INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France
2 Sorbonne Universités, UPMC Univ Paris 6, Laboratoire Jacques-Louis-Lions, 4 Place Jussieu, 75252 Paris Cedex 05, France 
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     title = {Splitting schemes for incompressible fluid/thin-walled structure interaction with unfitted meshes},
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Fernández, Miguel A.; Landajuela, Mikel. Splitting schemes for incompressible fluid/thin-walled structure interaction with unfitted meshes. Comptes Rendus. Mathématique, Tome 353 (2015) no. 7, pp. 647-652. doi : 10.1016/j.crma.2015.04.003. http://www.numdam.org/articles/10.1016/j.crma.2015.04.003/

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☆ Work funded by the french National Research Agency (ANR) through the EXIFSI project (ANR-12-JS01-0004).