论文标题

从孔到达西量表中多孔培养基中两相流的均质化:一种相田方法

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

论文作者

Metzger, Stefan, Knabner, Peter

论文摘要

我们将周期性均质化的两尺度扩展方法扩展到包括时间尺度,因此可以以微观尺度作为微观尺度来应对完整的Navier-Stokes-Stokes-Stokes-Cahn-Hilliard模型。时间尺度分离使我们能够保持微观动态,例如用于滞后,并得出一个数字上可拖动的微麦克罗模型,包括耦合的广义达西定律。

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.

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