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Monolithic approach of Stokes-Darcy coupling for LCM process modelling

Abstract : The present contribution is devoted to developing robust finite element solutions for coupling flows in both purely fluid region, ruled by Stokes equations, and fibrous preform region governed by a Darcy's law. Particularly the cases of low permeability of preform, down to 10(-15) m(2), are of interest to model LCM processes. Flows are solved using mixed finite elements stabilized with a sub-grid scale stabilization technique (ASGS). A special attention is paid to the interface conditions, namely normal stress and velocity continuity and tangential velocity constraint similar to a Beaver-Joseph-Saffinan's condition. The originality of the model consists in using one single mesh to represents the Stokes and the Darcy sub-domains (monolithic approach). A level set context is used to represent Stokes-Darcy interface and to capture the moving flow front. It is shown that provided a very special attention is paid to the coupling conditions, very precise results can be obtained. This monolithic approach is now perfectly robust due to the introduction of the ASGS sub-grid scale stabilization and leads to perform 3D complex shapes for manufacturing process by resin infusion.
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https://hal-emse.ccsd.cnrs.fr/emse-00959587
Contributor : Géraldine Fournier-Moulin <>
Submitted on : Friday, March 14, 2014 - 5:14:00 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:08 PM

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Lara Abouorm, Nicolas Moulin, Julien Bruchon, Sylvain Drapier. Monolithic approach of Stokes-Darcy coupling for LCM process modelling. CURRENT STATE-OF-THE-ART ON MATERIAL FORMING: NUMERICAL AND EXPERIMENTAL APPROACHES AT DIFFERENT LENGTH-SCALES, PTS 1-3, 2013, 554-557, pp.447-455. ⟨10.4028/www.scientific.net/KEM.554-557.447⟩. ⟨emse-00959587⟩

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