2016/02/03 by Mahnaz Shokrpour Roudbari, Roudbari, Mahnaz Shokrpour, E. H. van Brummelen +3
Computer Science · Engineering · Materials Science · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Soft Condensed Matter (cond-mat.soft) #Solidification and crystal growth phenomena
paper · pdf · doi:10.48550/arxiv.1602.01809
openalex publication_date 2016/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider a multiscale phase-field model for capillarity-driven flows in porous media. The presented model constitutes a reduction of the conventional Navier-Stokes-Cahn-Hilliard phase-field model, valid in situations where interest is restricted to dynamical and equilibrium behavior in an aggregated sense, rather than a precise description of microscale flow phenomena. The model is based on averaging of the equation of motion, thereby yielding a significant reduction in the complexity of the underlying Navier-Stokes-Cahn-Hilliard equations, while retaining its macroscopic dynamical and equilibrium properties. Numerical results are presented for the representative 2-dimensional capillary-rise problem pertaining to two closely spaced vertical plates with both identical and disparate wetting properties. Comparison with analytical solutions for these test cases corroborates the accuracy of the presented multiscale model. In addition, we present results for a capillary-rise problem with a non-trivial geometry corresponding to a porous medium.