Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility
Numerical Analysis
2024-05-24 v1 Numerical Analysis
Abstract
In this work we present two new numerical schemes to approximate the Navier-Stokes-Cahn-Hilliard system with degenerate mobility using finite differences in time and finite elements in space. The proposed schemes are conservative, energy-stable and preserve the maximum principle approximately (the amount of the phase variable being outside of the interval [0,1] goes to zero in terms of a truncation parameter). Additionally, we present several numerical results to illustrate the accuracy and the well behavior of the proposed schemes, as well as a comparison with the behavior of the Navier-Stokes-Cahn-Hilliard model with constant mobility.
Keywords
Cite
@article{arxiv.2405.14763,
title = {Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility},
author = {Francisco Guillén-González and Giordano Tierra},
journal= {arXiv preprint arXiv:2405.14763},
year = {2024}
}