Design of an optimized Schwarz domain decomposition method for Navier-Stokes equations

Eric Blayo 1 Antoine Rousseau 1, * David Cherel 1
* Auteur correspondant
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : In this work we present optimized interface conditions for the Schwarz domain decomposition algorithm for the Navier-Stokes equations. We start with a presentation of the perfectly absorbing conditions in the linear case. These conditions, which are not tractable in practice, are studied in order to derive some relevant approximations. A family of such approximate conditions are proposed, and their coefficients are then optimized in order to minimize the convergence rate of the Schwarz algorithm. These conditions are then implemented and validated in a numerical model on the well known test case of the driven cavity.
Type de document :
Communication dans un congrès
DD22 - International Conference on Domain Decomposition Methods, Sep 2013, Lugano, Switzerland. 2013
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https://hal.inria.fr/hal-00923888
Contributeur : Antoine Rousseau <>
Soumis le : dimanche 5 janvier 2014 - 20:56:23
Dernière modification le : mercredi 11 avril 2018 - 01:58:51

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  • HAL Id : hal-00923888, version 1

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Eric Blayo, Antoine Rousseau, David Cherel. Design of an optimized Schwarz domain decomposition method for Navier-Stokes equations. DD22 - International Conference on Domain Decomposition Methods, Sep 2013, Lugano, Switzerland. 2013. 〈hal-00923888〉

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