An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media

Liu C, Frank F, Thiele C, Alpak FO, Berg S, Chapman W, Riviere B (2020)


Publication Type: Journal article

Publication year: 2020

Journal

Book Volume: 400

Article Number: 108948

DOI: 10.1016/j.jcp.2019.108948

Abstract

Two-phase flow with viscosity contrast at the pore scale is modeled by a time-dependent Cahn–Hilliard–Navier–Stokes model and belongs to the class of diffuse interface method. The model allows for moving contact line and varying wettability. The numerical scheme utilizes an efficient pressure-correction projection algorithm, in conjunction with interior penalty discontinuous Galerkin schemes for space discretization developed within the framework of a distributed parallel pore-scale flow simulation system. The effect of viscosity contrast on the phase distribution is studied in relation with capillary forces and wettability. The algorithm is numerically robust and lends itself naturally to large-scale 3D numerical simulations.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Liu, C., Frank, F., Thiele, C., Alpak, F.O., Berg, S., Chapman, W., & Riviere, B. (2020). An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media. Journal of Computational Physics, 400. https://dx.doi.org/10.1016/j.jcp.2019.108948

MLA:

Liu, Chen, et al. "An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media." Journal of Computational Physics 400 (2020).

BibTeX: Download