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

Free access article

Issue		ESAIM: M2AN Volume 37, Number 4, July-August 2003 Biological and Biomedical Applications


Page(s)		631 - 647
DOI		10.1051/m2an:2003049

M2AN, Vol. 37, N°4, pp. 631-647
DOI: 10.1051/m2an:2003049

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

Jean-Frédéric Gerbeau and Marina Vidrascu

INRIA Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. Jean-Frederic.Gerbeau@inria.fr.

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.

Mathematics Subject Classification. 65M60, 74K25, 76D05, 76Z05.

Key words: Fluid-structure interaction, quasi-Newton algorithm, added mass effect, blood flows.

© EDP Sciences, SMAI 2003

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