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Comptes Rendus Mathématique
Volume 353, n° 7
pages 647-652 (juillet 2015)
Doi : 10.1016/j.crma.2015.04.003
Received : 15 September 2014 ;  accepted : 7 April 2015
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
 

Miguel A. Fernández a, b , Mikel Landajuela a, b
a INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France 
b Sorbonne Universités, UPMC Univ Paris 6, Laboratoire Jacques-Louis-Lions, 4 Place Jussieu, 75252 Paris Cedex 05, France 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.

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



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