Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914808155078656 |
|---|---|
| author | Guillén-González, Francisco Tierra, Giordano |
| author_facet | Guillén-González, Francisco Tierra, Giordano |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14763 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility Guillén-González, Francisco Tierra, Giordano Numerical Analysis 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. |
| title | Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2405.14763 |