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A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes
Computer Methods in Applied Mechanics and Engineering ( IF 6.9 ) Pub Date : 2021-11-30 , DOI: 10.1016/j.cma.2021.114328
Mireille El Haddad 1 , Giordano Tierra 2
Affiliation  

In this work we use phase field ideas to derive a new thermodynamically consistent model to represent two-phase flows with different densities using an energetic variational approach. Moreover, we introduce three linear numerical schemes that decouple the computation of the system in several sub-steps in an energy-stable way. Additionally, we present several numerical results in order to show the validity of the model and the well behavior of the proposed schemes.



中文翻译:

具有不同密度的两相不可压缩流动的热力学一致模型。推导和有效的能量稳定数值方案

在这项工作中,我们使用相场思想推导出一个新的热力学一致模型,以使用能量变分方法表示具有不同密度的两相流。此外,我们介绍了三种线性数值方案,它们以能量稳定的方式在几个子步骤中解耦系统的计算。此外,我们提供了几个数值结果,以显示模型的有效性和所提出方案的井性能。

更新日期:2021-11-30
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