A Newton method using exact jacobians for solving fluid-structure coupling

Authors:
Miguel Ángel Fernández;Marwan Moubachir
Affiliations:
ícole Polytechnique Fédérale de Lausanne, IACS, 1015 Lausanne, Switzerland;Institut National de Recherche en Informatique et en Automatique, OPALE, BP 93, 2004 route de Lucioles, 06902 Sophia-Antipolis, France
Venue:
Computers and Structures
Year:
2005

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Abstract

This paper aims at introducing a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. We provide a method which characteristic lies in the use of exact cross jacobians evaluation involving the shape derivative of the fluid state with respect to solid motion perturbations. Numerical tests based on an implementation inside a 3D fluid-structure interaction code show how the exactness of the cross jacobians computation guarantee the overall convergence of the Newton's loop.