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

Miguel Angel Fernández 1 Marwan Moubachir 2 
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
2 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
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.
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Submitted on : Wednesday, June 6, 2012 - 7:11:49 PM
Last modification on : Wednesday, August 31, 2022 - 5:06:29 PM

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Miguel Angel Fernández, Marwan Moubachir. A Newton method using exact jacobians for solving fluid-structure coupling. Computers & Structures, 2005, 83 (2-3), pp.127-142. ⟨10.1016/j.compstruc.2004.04.021⟩. ⟨hal-00705110⟩



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