Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach

Autor: Metzger, Stefan, Knabner, Peter
Rok vydání: 2020
Předmět:
Zdroj: Multiscale Modeling & Simulation 19 (2021), p. 320-343
Druh dokumentu: Working Paper
DOI: 10.1137/19M1287705
Popis: We extend the two-scale expansion approach of periodic homogenization to include time scales and thus can tackle the full instationary Navier-Stokes-Cahn-Hilliard model at the pore scale as microscale. Time scale separation allows us to keep microscale dynamics, responsible e.g. for hysteresis, and arrive at a numerically tractable micro-macro model including coupled generalized Darcy's laws.
Databáze: arXiv