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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 Welford
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.

History

Publication status

  • Published

Journal

Interfaces and Free Boundaries

ISSN

1463-9963

Issue

1

Volume

10

Page range

15-43

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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