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A Lattice Boltzmann dynamic-Immersed Boundary scheme for the transport of deformable inertial capsules in low-Re flows
Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2020-11-02 , DOI: 10.1016/j.camwa.2020.09.017
Alessandro Coclite , Sergio Ranaldo , Giuseppe Pascazio , Marco D. de Tullio

In this work, a dynamic-Immersed–Boundary method combined with a BGK-Lattice–Boltzmann technique is developed and critically discussed. The fluid evolution is obtained on a three-dimensional lattice with 19 reticular velocities (D3Q19 computational molecule) while the immersed body surface is modeled as a collection of Lagrangian points responding to an elastic potential and a bending resistance. A moving least squares reconstruction is used to accurately interpolate flow quantities and the forcing field needed to enforce the boundary condition on immersed bodies. The proposed model is widely validated against well known benchmark data for rigid and deformable objects. Rigid transport is validated by computing the settling of a sphere under gravity for five different conditions. Then, the tumbling of inertial particles with different shape is considered, recovering the Jefferey orbit for a prolate spheroid. Moreover, the revolution period for an oblate spheroid and for a disk-like particle is obtained as a function of the Reynolds number. The existence of a critical Reynolds number is demonstrated for both cases above which revolution is inhibited. The transport of deformable objects is also considered. The steady deformation of a membrane under shear for three different values of the mechanical stiffness is assessed. Then, the tumbling of a weakly-deformable spheroid under shear is systematically analyzed as a function strain stiffness, bending resistance and membrane mass.



中文翻译:

用于低Re流中可变形惯性胶囊运输的莱迪思玻尔兹曼动力浸没边界方案

在这项工作中,结合了BGK-Lattice-Boltzmann技术的动态浸入边界方法得到了发展并进行了严格的讨论。在带有19个网状速度(D3Q19计算分子)的三维晶格上获得流体演化,而将浸入的体表建模为响应弹性势和抗弯性的拉格朗日点的集合。移动最小二乘重建用于精确地插补流量和在浸没物体上施加边界条件所需的强制场。所提出的模型已针对刚性和可变形物体的众所周知基准数据进行了广泛验证。通过计算在五个不同条件下重力作用下的球体沉降,可以验证刚性传输。然后,考虑了不同形状的惯性粒子的翻滚,恢复了呈椭球形的Jefferey轨道。此外,获得扁球形体和盘状颗粒的旋转周期,这是雷诺数的函数。两种情况下都证明了存在一个关键的雷诺数,在以上两种情况下都禁止旋转。还考虑了变形物体的运输。对于三个不同的机械刚度值,评估了薄膜在剪切作用下的稳态变形。然后,系统地分析了在剪切作用下可变形球体的坍落度,并将其作为应变刚度,抗弯性和膜质量的函数。扁球形和圆盘状颗粒的旋转周期是雷诺数的函数。两种情况下都证明了存在一个关键的雷诺数,在以上两种情况下都禁止旋转。还考虑了变形物体的运输。对于三个不同的机械刚度值,评估了薄膜在剪切作用下的稳态变形。然后,系统地分析了在剪切作用下可变形球体的坍落度,并将其作为应变刚度,抗弯性和膜质量的函数。扁球体和盘状颗粒的旋转周期是雷诺数的函数。两种情况下都证明了存在一个关键的雷诺数,在以上两种情况下都禁止旋转。还考虑了变形物体的运输。对于三个不同的机械刚度值,评估了薄膜在剪切作用下的稳态变形。然后,系统地分析了在剪切作用下可变形球体的坍落度,并将其作为应变刚度,抗弯性和膜质量的函数。对于三个不同的机械刚度值,评估了薄膜在剪切作用下的稳态变形。然后,系统地分析了在剪切作用下可变形球体的坍落度,并将其作为应变刚度,抗弯性和膜质量的函数。对于三个不同的机械刚度值,评估了薄膜在剪切作用下的稳态变形。然后,系统地分析了在剪切作用下可变形球体的坍落度,并将其作为应变刚度,抗弯性和膜质量的函数。

更新日期:2020-11-03
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