Multiple-component lattice Boltzmann equation for fluid-filled vesicles in flow.
Multiple-component lattice Boltzmann equation for fluid-filled vesicles in flow.
复制标题
流动中充满液体的囊泡的多分量格子玻尔兹曼方程。
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
C. M. Care
中科院分区：
文献类型：
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作者：
I. Halliday;S. Lishchuk;T. Spencer;G. Pontrelli;C. M. Care
我们记录的推导和实现扩展到二维，多分量晶格玻尔兹曼方程模型，具有拉普拉斯定律界面张力。扩展模型的表现方式是，它的不混相液滴和嵌入流体组分之间的边界可以用来描述一个体积恒定的囊泡，该囊泡由具有守恒长度、指定界面压缩性、弯曲刚度、首选曲率和界面张力的膜包围。我们描述了如何将这一结果应用于几个独立的囊泡。扩展格式是完全欧拉的，它代表了一个单一框架内的双向耦合囊泡膜和流动。与以前的方法不同，我们的方法完全不需要明确地跟踪膜或边界，并且不使用任何计算昂贵且复杂的界面跟踪和重划分。给出了验证数据，验证了该方法在模拟高体积分数可变形物体悬浮液流动中的有效性。
We document the derivation and implementation of extensions to a two-dimensional, multicomponent lattice Boltzmann equation model, with Laplace law interfacial tension. The extended model behaves in such a way that the boundary between its immiscible drop and embedding fluid components can be shown to describe a vesicle of constant volume bounded by a membrane with conserved length, specified interface compressibility, bending rigidity, preferred curvature, and interfacial tension. We describe how to apply this result to several, independent vesicles. The extended scheme is completely Eulerian, and it represents a two-way coupled vesicle membrane and flow within a single framework. Unlike previous methods, our approach dispenses entirely with the need explicitly to track the membrane, or boundary, and makes no use whatsoever of computationally expensive and intricate interface tracking and remeshing. Validation data are presented, which demonstrate the utility of the method in the simulation of the flow of high volume fraction suspensions of deformable objects.