3D robust iterative coupling of Stokes, Darcy and solid mechanics for low permeability media undergoing finite strains - Mines Saint-Étienne Access content directly
Journal Articles Finite Elements in Analysis & Design Year : 2015

3D robust iterative coupling of Stokes, Darcy and solid mechanics for low permeability media undergoing finite strains

Abstract

Stokes, Darcy and solid mechanics coupling is a matter of interest in many domains of engineering such as soil mechanics, bio-mechanics, and composites. The aim of this paper is to present a robust iterative method to deal with this coupling for low permeability media within the framework of industrial simulation, and especially for composite manufacturing processes. Stokes and Darcy problems are solved using a mixed velocity-pressure finite element using a mini-element formulation, and coupled together by the so-called Beavers-Joseph-Saffman conditions through their interface. This fluid formulation is then coupled to a non-linear solid mechanics formulation in finite deformations using Terzaghi's law at the pore level, and an explicit dependence of permeability with respect to porosity that is exactly computed from the solid mechanics kinematics. Then, those formulations are validated with test-cases and by the Method of the Manufactured Exact Solution (MMES) (Knupp and Salari, 2003[1]). Finally, a 3D curved transient example of application is presented.
Fichier principal
Vignette du fichier
dereims2015.pdf (1.86 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

emse-01145419 , version 1 (10-09-2021)

Licence

Attribution

Identifiers

Cite

Arnaud Dereims, Sylvain Drapier, Jean-Michel Bergheau, Patrick de Luca. 3D robust iterative coupling of Stokes, Darcy and solid mechanics for low permeability media undergoing finite strains. Finite Elements in Analysis & Design, 2015, 94, pp.1-15. ⟨10.1016/j.finel.2014.09.003⟩. ⟨emse-01145419⟩
71 View
66 Download

Altmetric

Share

Gmail Facebook X LinkedIn More