In this work we propose and analyse a structure-preserving approximation of the non-isothermal Cahn-Hilliard-Navier-Stokes system using conforming finite elements in space and implicit time discretisation with convex-concave splitting. The system is first reformulated into a variational form which reveal the structure of the equations, which is then used in the subsequent approximation.
@article{arxiv.2402.00147,
title = {Structure-preserving approximation for the non-isothermal Cahn-Hilliard-Navier-Stokes system},
author = {Aaron Brunk and Dennis Schumann},
journal= {arXiv preprint arXiv:2402.00147},
year = {2024}
}