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inria-00071895, version 1

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

Jean-Frédéric Gerbeau () 1, Marina Vidrascu () 2

N° RR-4691 (2003)

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.

  • 1:  BANG (INRIA Rocquencourt)
  • INRIA – Laboratoire Jacques-Louis Lions
  • 2:  MACS (INRIA Rocquencourt)
  • INRIA
  • Domain : Computer Science/Other
  • Keywords : FLUID-STRUCTURE INTERACTION / QUASI-NEWTON ALGORITHM / ADDED MASS EFFECT / BLOOD FLOWS
  • Internal note : RR-4691
 
  • inria-00071895, version 1
  • http://hal.inria.fr/inria-00071895
  • oai:hal.inria.fr:inria-00071895
  • From: Rapport De Recherche Inria <>
  • Submitted on: Tuesday, 23 May 2006 19:11:03
  • Updated on: Wednesday, 14 March 2007 13:17:46