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/inria-00071895
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Submitted on : Tuesday, May 23, 2006 - 7:11:03 PM
Last modification on : Sunday, March 31, 2019 - 1:18:38 AM
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  • HAL Id : inria-00071895, version 1

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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. [Research Report] RR-4691, INRIA. 2003. ⟨inria-00071895⟩

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