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

Published online by Cambridge University Press:  15 November 2003

Jean-Frédéric Gerbeau  and
Marina Vidrascu
Jean-Frédéric Gerbeau
Affiliation:
INRIA Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. Jean-Frederic.Gerbeau@inria.fr.
Marina Vidrascu
Affiliation:
INRIA Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. Jean-Frederic.Gerbeau@inria.fr.
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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.

Keywords

Fluid-structure interactionquasi-Newton algorithmadded mass effectblood flows.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 4: Special issue on Biological and Biomedical Applications , July 2003 , pp. 631 - 647
Copyright
© EDP Sciences, SMAI, 2003

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