Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration
In this work, we present a novel isogeometric analysis discretization for the Navier-Stokes-Cahn-Hilliard equation, which uses divergence-conforming spaces. Basis functions generated with this method can have higher-order continuity, and allow to directly discretize the higherorder operators present...
| Main Authors: | , , , , |
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| Format: | Conference Paper |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/51328 |
| _version_ | 1848758669674545152 |
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| author | Vignal, P. Sarmiento, A. Côrtes, A. Dalcin, L. Calo, Victor |
| author_facet | Vignal, P. Sarmiento, A. Côrtes, A. Dalcin, L. Calo, Victor |
| author_sort | Vignal, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this work, we present a novel isogeometric analysis discretization for the Navier-Stokes-Cahn-Hilliard equation, which uses divergence-conforming spaces. Basis functions generated with this method can have higher-order continuity, and allow to directly discretize the higherorder operators present in the equation. The discretization is implemented in PetIGA-MF, a high-performance framework for discrete differential forms. We present solutions in a twodimensional annulus, and model spinodal decomposition under shear flow. |
| first_indexed | 2025-11-14T09:47:40Z |
| format | Conference Paper |
| id | curtin-20.500.11937-51328 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:47:40Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-513282017-09-13T15:41:42Z Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration Vignal, P. Sarmiento, A. Côrtes, A. Dalcin, L. Calo, Victor In this work, we present a novel isogeometric analysis discretization for the Navier-Stokes-Cahn-Hilliard equation, which uses divergence-conforming spaces. Basis functions generated with this method can have higher-order continuity, and allow to directly discretize the higherorder operators present in the equation. The discretization is implemented in PetIGA-MF, a high-performance framework for discrete differential forms. We present solutions in a twodimensional annulus, and model spinodal decomposition under shear flow. 2015 Conference Paper http://hdl.handle.net/20.500.11937/51328 10.1016/j.procs.2015.05.228 http://creativecommons.org/licenses/by-nc-nd/4.0/ fulltext |
| spellingShingle | Vignal, P. Sarmiento, A. Côrtes, A. Dalcin, L. Calo, Victor Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration |
| title | Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration |
| title_full | Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration |
| title_fullStr | Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration |
| title_full_unstemmed | Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration |
| title_short | Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration |
| title_sort | coupling navier-stokes and cahn-hilliard equations in a two-dimensional annular flow configuration |
| url | http://hdl.handle.net/20.500.11937/51328 |