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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https://hal.inria.fr/hal-00694625
Contributor : Jean-Frédéric Gerbeau <>
Submitted on : Saturday, May 5, 2012 - 9:47:19 AM
Last modification on : Friday, May 24, 2019 - 5:31:44 PM

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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. ⟨10.1051/m2an:2003049⟩. ⟨hal-00694625⟩

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