Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility
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 e...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::e55c30b5b0ff00b412948f667404294c |
| Acceso en línea: | https://hdl.handle.net/11441/187136 https://doi.org/10.1016/j.apnum.2024.11.005 |
| Access Level: | acceso abierto |
| Palabra clave: | Mass-conservation Discrete pointwise bounds Discrete energy stability Finite elements Discontinuous Galerkin Upwind scheme |
| Sumario: | 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. |
|---|