An Enhanced Parareal Algorithm for Partitioned Parabolic-Hyperbolic Coupling

Franz Chouly 1 Miguel Angel Fernández 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 present a parallel time‐marching scheme for coupled parabolic‐hyperbolic problems, as a prototype of fluid‐structure interaction problems involving a linear structure and a viscous fluid. No linearity assumption is made on the parabolic side. The classical Parareal scheme is applied to the parabolic part, while the modified algorithm proposed by Farhat et al. [1] is applied to the hyperbolic part. This hybrid Parareal treatment relies on the partitioned formulation of the coupled propagator. Numerical evidence shows that the resulting scheme is stable for a wide range of physical and discretization parameters.
Type de document :
Communication dans un congrès
International Conference on Numerical Analysis and Applied Mathematics 2009, Sep 2009, Rethymno, Crete, Greece. AIP, 1168, pp.1517-1520, 2009, AIP Conference Proceedings. 〈10.1063/1.3241387〉
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Soumis le : vendredi 22 février 2013 - 14:12:32
Dernière modification le : mardi 17 avril 2018 - 11:30:46

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Franz Chouly, Miguel Angel Fernández. An Enhanced Parareal Algorithm for Partitioned Parabolic-Hyperbolic Coupling. International Conference on Numerical Analysis and Applied Mathematics 2009, Sep 2009, Rethymno, Crete, Greece. AIP, 1168, pp.1517-1520, 2009, AIP Conference Proceedings. 〈10.1063/1.3241387〉. 〈hal-00793490〉

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