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An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
Author(s) -
Minjeaud Sebastian
Publication year - 2013
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21721
Subject(s) - discretization , mathematics , cahn–hilliard equation , convergence (economics) , scheme (mathematics) , navier–stokes equations , partial differential equation , mathematical analysis , time stepping , mechanics , physics , compressibility , economics , economic growth
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