A combined lattice-Boltzmann-finite element approach to modeling unsaturated poroelastic behavior of heterogeneous media

DOI10.1016/j.jcp.2021.110334OpenAlexW3154751471MaRDI QIDQ2124357

J.-L. Adia, Julien Yvonnet, Qi-Chang He, N. C. Tran, Julien Sanahuja

Publication date: 8 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-03224963/file/%5B90%5DPP.pdf

zbMATH Keywords

porous mediadryingshrinkagelattice-Boltzmann methodcapillary filmsunsaturated poroelasticity

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Homogenization, determination of effective properties in solid mechanics (74Qxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)

Cites Work

• Unnamed Item
• The Boltzmann equation and its applications
• A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability
• Immiscible cellular-automaton fluids.
• Computational homogenization of heterogeneous materials with finite elements
• Mesoscopic modelling of local phase transitions and apparent-slip phenomena in microflows
• Micromechanics of saturated and unsaturated porous media
• Simulating deformable particle suspensions using a coupled lattice-Boltzmann and finite-element method
• The Theory of Composites
• The Lattice Boltzmann Equation
• On the Effects of Reactant Flow Rarefaction on Heterogeneous Catalysis: a Regularized Lattice Boltzmann Study
• Microporomechanics
• Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
• Equations of state in a lattice Boltzmann model
• Note on N‐dimensional hermite polynomials
• On the kinetic theory of rarefied gases
• A front-tracking method for the computations of multiphase flow.