An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model. Issue 2 (27th April 2012)

• Record Type: Journal Article
• Authors: Minjeaud, Sebastian
• Is Part Of: Numerical methods for partial differential equations. Volume 29:Issue 2(2013:Mar.)
• Page Start: 584
• Page End: 618
• Publication Date: 2012-04-27
• Subjects: Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21721
• Languages: English
• ISSNs: 0749-159X

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>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, which 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. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq. 2013</p> </abstract>