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

An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
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DOI:
10.1002/num.21721
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发表时间:
2013-03
影响因子:
3.9
通讯作者:
S. Minjeaud
S. Minjeaud
中科院分区:
数学3区
文献类型:
--
作者:
S. Minjeaud

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我们提出了一个原始的计划的三相Cahn-Hilliard/Navier-Stokes模型的时间离散化。该方案允许离散Cahn-Hilliard和Navier-Stokes系统的解耦解决方案,该系统是无条件稳定的,并且在离散水平上保留了连续模型的主要性质。证明了离散解的存在性,并在三相密度相同的情况下研究了其收敛性。© 2012 Wiley Periodicals,Inc.数值方法偏微分方程。2013
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