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.
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