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Robin-Neumann semi explicit and explicit schemes in fluid-structure interaction problems

Marina Vidrascu 1, 2 Miguel Angel Fernández 1 Jimmy Mullaert 1 
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We are interested in the simulation of blood flows in large arteries. In the frame of domain decomposition standard explicit coupling schemes can be viewed as one iteration in a Dirichlet-Neumann algorithm with a convenient first guess. For this class of problems, such coupling schemes are unstable due to the added mass effect. Implicit coupling schemes based on a Dirichlet-Neumann algorithm avoid these instabilities but are computationaly time consuming. Robin-Neumann schemes, recently introduced, guarantee stability and optimal first-order accuracy for a linear Stokes/thin-solid coupled system. In this explicit coupling schemes, the displacement is extrapolated in the fluid sub-step and then it is corrected in the solid. These algorithms will be presented in a fully non-linear framework for the coupling of the Navier-Stokes equations (in ALE form) with a non-linear shell structure or a three dimensional structure. Comparisons in terms of accuracy and efficiency with more standard schemes such as non-incremental explicit schemes and implicit schemes will be discussed.
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Contributor : Marina Vidrascu Connect in order to contact the contributor
Submitted on : Tuesday, December 17, 2013 - 5:38:42 PM
Last modification on : Friday, January 21, 2022 - 3:21:30 AM


  • HAL Id : hal-00920127, version 1


Marina Vidrascu, Miguel Angel Fernández, Jimmy Mullaert. Robin-Neumann semi explicit and explicit schemes in fluid-structure interaction problems. DD22 International Conference on Domain Decomposition Methods, Sep 2013, Lugano, Switzerland. ⟨hal-00920127⟩



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