Modeling ternary fluids in contact with elastic membranes.
Modeling ternary fluids in contact with elastic membranes.
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模拟与弹性膜接触的三元流体。
DOI：
10.1103/physreve.103.022112
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Pepona M
中科院分区：
文献类型：
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作者：
Pepona M
本文提出了一个三元流体与弹性膜相互作用的热力学自洽模型。以下的流体相的自由能建模方法，我们推导出的三元流体流动和膜的动力学的控制方程。我们还提供了数值框架，模拟这样的流固耦合问题。它是基于格子玻尔兹曼方法的三元流体（欧拉描述）和有限差分表示的膜（拉格朗日描述）。三元流体和膜求解器通过浸没边界法耦合。为了验证的目的，我们考虑的松弛动力学的二维弹性胶囊放置在流体-流体界面。由表面张力和弹性力平衡得到的胶囊形状与用表面演化器得到的平衡数值解进行了比较。证明了该模型的伽利略不变性。所提出的方法是通用的，允许各种几何形状的模拟。为了证明这一点，我们解决了两个可变形胶囊之间形成的毛细桥的问题。
We present a thermodynamically consistent model of a ternary fluid interacting with elastic membranes. Following a free-energy modeling approach for the fluid phases, we derive the governing equations for the dynamics of the ternary fluid flow and membranes. We also provide the numerical framework for simulating such fluid-structure interaction problems. It is based on the lattice Boltzmann method for the ternary fluid (Eulerian description) and a finite difference representation of the membrane (Lagrangian description). The ternary fluid and membrane solvers are coupled through the immersed boundary method. For validation purposes, we consider the relaxation dynamics of a two-dimensional elastic capsule placed at a fluid-fluid interface. The capsule shapes, resulting from the balance of surface tension and elastic forces, are compared with equilibrium numerical solutions obtained bysurface evolver. Furthermore, the Galilean invariance of the proposed model is proven. The proposed approach is versatile, allowing for the simulation of a wide range of geometries. To demonstrate this, we address the problem of a capillary bridge formed between two deformable capsules.