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Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
journal contribution
posted on 2023-06-08, 00:05 authored by David Kay, Vanessa StylesVanessa Styles, Richard WelfordWe 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.
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Publication status
- Published
Journal
Interfaces and Free BoundariesISSN
1463-9963External DOI
Issue
1Volume
10Page range
15-43Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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