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Couplage Stokes/Darcy dans un cadre Level-set en grandes déformations pour la simulation des procédés d'élaboration par infusion de résine

Abstract : This work proposes a numerical model to simulate the manufacturing processes by resin infusion using the finite element method. This model allows to represent the resin flow into porous preforms, which are themselves subject to large deformations. In this study, a macroscopic description is used. The preforms are considered as a porous medium. The Stokes and the Darcy equations are used respectively to describe the resin flow into the liquid zone and into the preforms.The originality of the model consists in using one single unstructured mesh. The discretization is ensured by using a mixed velocity-pressure formulation. Indeed, a P1/P1 formulation is employed throughout the entire discretized domain, stabilized in the Darcy region with a multi-scale formulation and in the Stokes subdomain with a hierarchical-based bubble, i.e. a P1+/P1 finite element. Signed distance functions are used both to represent the Stokes-Darcy interface and to capture the moving flow front. Concerning the deformations of the preforms, an updated Lagrangian scheme is used. In the Lagrangian formulation, the behavior of the wet preforms is represented by using the Terzaghi model in which the dry preforms have a non-linear elastic behavior. The permeability depends on the porosity through the Carman-Kozeny relationship. This model has been implemented in Zset. Several numerical simulations of manufacturing processes by resin infusion are presented at the end of this manuscript.
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https://tel.archives-ouvertes.fr/tel-00609670
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Submitted on : Tuesday, July 19, 2011 - 4:48:35 PM
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  • HAL Id : tel-00609670, version 1

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Guillaume Pacquaut. Couplage Stokes/Darcy dans un cadre Level-set en grandes déformations pour la simulation des procédés d'élaboration par infusion de résine. Autre. Ecole Nationale Supérieure des Mines de Saint-Etienne, 2010. Français. ⟨NNT : 2010EMSE0591⟩. ⟨tel-00609670⟩

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