A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows

Abstract : We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which is cost effective and which takes into account the so-called added mass effect. Various test cases show that the method allows a significant reduction of the computational effort compared to relaxed fixed point algorithms. We present 2D and 3D fluid-structure simulations performed either with a simple 1D structure model or with shells in large displacements.
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ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2003, 37 (4), pp.631-647. 〈http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8203255〉. 〈10.1051/m2an:2003049〉
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Contributeur : Jean-Frédéric Gerbeau <>
Soumis le : samedi 5 mai 2012 - 09:47:19
Dernière modification le : vendredi 25 mai 2018 - 12:02:03

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Jean-Frédéric Gerbeau, Marina Vidrascu. A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2003, 37 (4), pp.631-647. 〈http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8203255〉. 〈10.1051/m2an:2003049〉. 〈hal-00694625〉

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