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hal-00701792, version 1

A partitioned Newton method for the interaction of a fluid and a 3D shell structure

Miguel Ángel Fernández () a, 1, Jean-Frédéric Gerbeau (, http://www-rocq.inria.fr/who/Jean-Frederic.Gerbeau/) 1, Antoine Gloria () b, 2, 3, Marina Vidrascu () 4

European Journal of Computational Mechanics 19, 5-7 (2010) 479-512

Abstract: We propose a new fluid-structure algorithm based on a domain decomposition paradigm. The method is based on the principle ''linearize first, then decompose'' whereas the usual schemes are generally ''nonlinear in subdomains''. The proposed approach is more attractive when the complexity of the structure is high, which is the case with the structural model used in this study (nonlinear 3D shell). Another contribution of this paper is to investigate the use of a Neumann-Neumann preconditioner for the linearized problem. In particular, it is shown that when this preconditioner is adequately balanced, it tends to the Dirichlet-Neumann preconditioner because of the heterogeneity of the fluid-structure problem.

  • a –  INRIA Rocquencourt - REO
  • b –  Ecole Nationale des Ponts et Chaussées
  • 1:  REO (INRIA Paris-Rocquencourt)
  • INRIA – Laboratoire Jacques-Louis Lions
  • 2:  SIMPAF (INRIA Lille - Nord Europe)
  • INRIA – Université Lille I - Sciences et technologies – CNRS : UMR
  • 3:  Laboratoire Paul Painlevé (LPP)
  • CNRS : UMR8524 – Université Lille I - Sciences et technologies
  • 4:  MACS (INRIA Rocquencourt)
  • INRIA
  • Domain : Mathematics/Numerical Analysis
  • Keywords : fluid-structure interaction – 3D shell finite elements – domain decomposition – partitioned schemes – Newton algorithm
 
  • hal-00701792, version 1
  • http://hal.inria.fr/hal-00701792
  • oai:hal.inria.fr:hal-00701792
  • From: Jean-Frédéric Gerbeau <>
  • Submitted on: Saturday, 26 May 2012 15:36:40
  • Updated on: Wednesday, 6 June 2012 16:41:45