An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model

Abstract : We propose an original scheme for the time discretization of a triphasic Cahn- Hilliard/Navier-Stokes model. This scheme allows an uncoupled resolution of the discrete Cahn-Hilliard and Navier-Stokes system, is unconditionally stable and preserves, at the discrete level, the main properties of the continuous model. The existence of discrete solutions is proved and a convergence study is performed in the case where the densities of the three phases are the same.
Document type :
Journal articles
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00577226
Contributor : Sebastian Minjeaud <>
Submitted on : Friday, October 21, 2011 - 11:08:13 AM
Last modification on : Tuesday, July 3, 2018 - 1:50:04 PM
Long-term archiving on : Sunday, January 22, 2012 - 2:26:48 AM

File

NUMPDE_11_M.pdf
Files produced by the author(s)

Identifiers

Citation

Sebastian Minjeaud. An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Numerical Methods for Partial Differential Equations, Wiley, 2013, 29 (2), pp. 584- 618. ⟨10.1002/num.21721⟩. ⟨hal-00577226v2⟩

Share

Metrics

Record views

494

Files downloads

421