Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach

DOI10.1137/19M1287705zbMath1462.35045arXiv2002.02531OpenAlexW3005143266MaRDI QIDQ5857924

Peter Knabner, Stefan Metzger

Publication date: 8 April 2021

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02531

zbMATH Keywords

formal asymptoticstwo-scale expansiontransient layers

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Nonlinear higher-order PDEs (35G20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Homogenization of equations for miscible fluids ⋮ Upscaling of a Cahn–Hilliard Navier–Stokes model with precipitation and dissolution in a thin strip ⋮ Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects

Cites Work

• Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation
• Homogenization and porous media
• Homogenization of two-phase fluid flow in porous media via volume averaging
• Diffuse interface model for incompressible two-phase flows with large density ratios
• THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
• Curvature Measures
• Quasi–incompressible Cahn–Hilliard fluids and topological transitions
• Reciprocal Relations in Irreversible Processes. II.
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• Homogenization of two fluid flow in porous media
• A variational approach to moving contact line hydrodynamics
• Derivation of effective macroscopic Stokes–Cahn–Hilliard equations for periodic immiscible flows in porous media
• Multiscale Methods
• Mathematical Modeling

This page was built for publication: Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach