Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media
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粘性和粘弹性介质中可变形颗粒悬浮液的浸入式有限元方法

DOI:
10.1103/physreve.98.063316
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发表时间:
2018
期刊:
影响因子:
2.4
通讯作者:
Shaqfeh, Eric S. G.
Shaqfeh, Eric S. G.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Saadat, Amir;Guido, Christopher J.;Iaccarino, Gianluca;Shaqfeh, Eric S. G.

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粘性和粘弹性介质中的可变形弹性体构成了合成和生物复杂流体的很大一部分。我们提出了一种并行化的三维模拟方法,完全解决了在固体和流体域的动量平衡。浸没边界算法被称为浸没有限元法(IFEM),它准确地确定了在固体域的内力。该方法具有不需要重新划分网格、能处理有限雷诺数以及在流体域中考虑非线性粘弹性等优点。我们的算法是专为计算效率高的混合结构类型的多粒子悬浮液的模拟。IFEM中固体域的内力计算与基于有限体积的不可压缩流体求解器相结合,两者都针对分布式内存架构进行了大规模并行化。我们进行了广泛的案例研究,以确保我们的算法的保真度。即,在粘性和粘弹性介质中进行了一系列胶囊、红细胞和弹性固体可变形颗粒的单颗粒模拟。我们所有的结果是在良好的定量协议与相应的文献中报道的数据是基于不同的模拟平台。此外,我们评估的准确性多粒子模拟的血液悬浮液(血浆中的红细胞),有和没有血小板。最后,我们提出了在粘弹性介质中的多个固体可变形物体的模拟结果。
Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized three-dimensional simulation methodology which fully resolves the momentum balance in the solid and fluid domains. An immersed boundary algorithm is exploited known as the immersed-finite-element method (IFEM) which accurately determines the internal forces in the solid domain. The scheme utilized has the advantages of requiring no costly remeshing, handling finite Reynolds number, as well as incorporating nonlinear viscoelasticity in the fluid domain. Our algorithm is designed for computationally efficient simulation of multiparticle suspensions with mixed structure types. The internal force calculation in the solid domain in the IFEM is coupled with a finite volume based incompressible fluid solver, both of which are massively parallelized for distributed memory architectures. We performed extensive case studies to ensure the fidelity of our algorithm. Namely, a series of single particle simulations for capsules, red blood cells, and elastic solid deformable particles were conducted in viscous and viscoelastic media. All of our results are in excellent quantitative agreement with the corresponding reported data in the literature which are based on different simulation platforms. Furthermore, we assess the accuracy of multiparticle simulation of blood suspensions (red blood cells in plasma) with and without platelets. Finally, we present the results of a simulation of multiple solid deformable objects in a viscoelastic medium.
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发表时间: 2012
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