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Analysis of the energy dissipation laws in multi-component phase field models
Communications in Mathematical Sciences ( IF 1.2 ) Pub Date : 2020-01-01 , DOI: 10.4310/cms.2020.v18.n3.a13
Arkadz Kirshtein 1 , James Brannick 1 , Chun Liu 2
Affiliation  

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the coupled systems of partial differential equations that comprise the resulting models. The issue of algebraic and dynamic consistency is investigated. In addition, the two approaches that are presented are compared analytically and numerically.

中文翻译:

多分量相场模型能量耗散规律分析

在本文中,讨论了使用扩散界面法模拟三分量流体流动的两种方法。当使用能量变分框架来推导包含所得模型的偏微分方程的耦合系统时,所提出模型的热力学一致性得以保留。研究了代数和动态一致性问题。此外,对提出的两种方法进行了分析和数值比较。
更新日期:2020-01-01
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