TY - JOUR
T1 - Splitting Schemes for a Navier-Stokes-Cahn-Hilliard Model for Two Fluids with Different Densities
AU - Francisco Guillén-González & Giordano Tierra
JO - Journal of Computational Mathematics
VL - 6
SP - 643
EP - 664
PY - 2014
DA - 2014/12
SN - 32
DO - http://doi.org/10.4208/jcm.1405-m4410
UR - https://global-sci.org/intro/article_detail/jcm/8407.html
KW - Two-phase flow, Diffuse-interface phase-field, Cahn-Hilliard, Navier-Stokes,
Energy stability, Variable density, Mixed finite element, Splitting scheme.
AB - <p style="text-align: justify;">In this work, we focus on designing efficient numerical schemes to approximate a thermodynamically consistent Navier-Stokes/Cahn-Hilliard problem given in [3] modeling the mixture of two incompressible fluids with different densities. The model is based on a diffuse-interface phase-field approach that is able to describe topological transitions like droplet coalescence or droplet break-up in a natural way. We present a splitting scheme, decoupling computations of the Navier-Stokes part from the Cahn-Hilliard one, which is unconditionally energy-stable up to the choice of the potential approximation. Some numerical experiments are carried out to validate the correctness and the accuracy of the scheme, and to study the sensitivity of the scheme with respect to different physical parameters.</p>