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

Abstract : This report 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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https://hal.inria.fr/inria-00071496
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Submitted on : Tuesday, May 23, 2006 - 5:45:34 PM
Last modification on : Thursday, January 20, 2022 - 5:32:15 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:19:47 PM

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  • HAL Id : inria-00071496, version 1

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Miguel Angel Fernández, Marwan Moubachir. A Newton method using exact jacobians for solving fluid-structure coupling. [Research Report] RR-5087, INRIA. 2004. ⟨inria-00071496⟩

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