Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
We consider a semi-discrete and a practical fully discrete finite element approximation of a Cahn-Hilliard-Navier-Stokes system. This system arises in the modelling of multiphase fluid systems. We show order h error estimate between the solution of the system and the solution of the semi-discrete ap...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2008
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| _version_ | 1797077280699187200 |
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| author | Kay, D Styles, V Welford, R |
| author_facet | Kay, D Styles, V Welford, R |
| author_sort | Kay, D |
| collection | OXFORD |
| description | We consider a semi-discrete and a practical fully discrete finite element approximation of a Cahn-Hilliard-Navier-Stokes system. This system arises in the modelling of multiphase fluid systems. We show order h error estimate between the solution of the system and the solution of the semi-discrete approximation. We also show the convergence of the fully discrete approximation. Finally, we present an efficient implementation of the fully discrete scheme together with some numerical simulations. © European Mathematical Society 2008. |
| first_indexed | 2024-03-07T00:15:41Z |
| format | Journal article |
| id | oxford-uuid:7ac45e3a-ccc3-4e1c-9b88-1c384723d582 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:15:41Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:7ac45e3a-ccc3-4e1c-9b88-1c384723d5822022-03-26T20:46:09ZFinite element approximation of a Cahn-Hilliard-Navier-Stokes systemJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7ac45e3a-ccc3-4e1c-9b88-1c384723d582EnglishSymplectic Elements at Oxford2008Kay, DStyles, VWelford, RWe consider a semi-discrete and a practical fully discrete finite element approximation of a Cahn-Hilliard-Navier-Stokes system. This system arises in the modelling of multiphase fluid systems. We show order h error estimate between the solution of the system and the solution of the semi-discrete approximation. We also show the convergence of the fully discrete approximation. Finally, we present an efficient implementation of the fully discrete scheme together with some numerical simulations. © European Mathematical Society 2008. |
| spellingShingle | Kay, D Styles, V Welford, R Finite element approximation of a Cahn-Hilliard-Navier-Stokes system |
| title | Finite element approximation of a Cahn-Hilliard-Navier-Stokes system |
| title_full | Finite element approximation of a Cahn-Hilliard-Navier-Stokes system |
| title_fullStr | Finite element approximation of a Cahn-Hilliard-Navier-Stokes system |
| title_full_unstemmed | Finite element approximation of a Cahn-Hilliard-Navier-Stokes system |
| title_short | Finite element approximation of a Cahn-Hilliard-Navier-Stokes system |
| title_sort | finite element approximation of a cahn hilliard navier stokes system |
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