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A P1/P1 Finite Element Framework for Taking Into Account Capillary Effects in Biphasic Flow Simulations

Abstract : This work describes a computational strategy, based on a stabilised finite element method, to simulate bifluid flow with capillary effects in a fibrous microstructure. In this framework, triple junction equilibrium is imposed as a natural condition in the weak formulation of the Stokes problem. Two types of 2D microstructures are then considered, hexagonal and random, and studied in terms of numerical permeability and capillary pressure.
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https://hal.mines-ales.fr/hal-03522798
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Submitted on : Wednesday, January 12, 2022 - 11:57:48 AM
Last modification on : Wednesday, January 26, 2022 - 3:05:22 AM
Long-term archiving on: : Wednesday, April 13, 2022 - 7:58:47 PM

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Loïc Chevalier, Julien Bruchon, Nicolas Moulin, Pierre-Jacques Liotier, Sylvain Drapier. A P1/P1 Finite Element Framework for Taking Into Account Capillary Effects in Biphasic Flow Simulations. 14th WCCM-ECCOMAS Congress - World Congress on Computational Mechanic, Jan 2021, Virtual Congress, France. ⟨10.23967/wccm-eccomas.2020.032⟩. ⟨hal-03522798⟩

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