@misc{10498/35726,
year = {2024},
month = {11},
url = {http://hdl.handle.net/10498/35726},
abstract = {In this paper, we present a new computational framework to approximate a Cahn–Hilliard--Navier--Stokes model with variable density and degenerate mobility that preserves the mass of the
mixture, the pointwise bounds of the density and the decreasing energy. This numerical scheme
is based on a finite element approximation for the Navier–Stokes fluid flow with discontinuous
pressure and an upwind discontinuous Galerkin scheme for the Cahn–Hilliard part. Finally, several
numerical experiments such as a convergence test and some well-known benchmark problems are
conducted.},
publisher = {Elsevier},
keywords = {Mass-conservation},
keywords = {Discrete pointwise bounds},
keywords = {Discrete energy stability},
keywords = {Finite elements},
keywords = {Discontinuous Galerkin},
keywords = {Upwind scheme},
title = {Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility},
doi = {10.1016/j.apnum.2024.11.005},
author = {Acosta Soba, Daniel and Guillén González, Francisco and Rodríguez Galván, José Rafael and Wang, J.},
}