An octree-based immersogeometric approach for modeling inertial migration of particles in channels

An octree-based immersogeometric approach for modeling inertial migration of particles in channels
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基于八叉树的浸没几何方法,用于模拟通道中粒子的惯性迁移

DOI:
10.1016/j.compfluid.2020.104764
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发表时间:
2021
期刊:
影响因子:
2.8
通讯作者:
Ganapathysubramanian, Baskar
Ganapathysubramanian, Baskar
中科院分区:
工程技术3区
文献类型:
--
作者:
Xu, Songzhe;Gao, Boshun;Lofquist, Alec;Fernando, Milinda;Hsu, Ming-Chen;Sundar, Hari;Ganapathysubramanian, Baskar

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在本文中,我们开发了一个可扩展的,自适应细化,基于八叉树的有限元方法与immersogeometric分析跟踪惯性迁移的颗粒在微通道。流体物理建模使用基于残差的变分多尺度方法,和粒子的运动被建模为刚体运动。一个并行的,分层细化八叉树网格作为背景网格,在其上采用变分一致的浸没几何配方跟踪流体中的粒子运动。八叉树背景网格上的immersogeometric分析的适应开发,以使一个给定的表面正交点的背景元素的有效搜索,以及在处理器上的表面正交点的分布,以减少内存开销和更好地并行化的表面组件。提出了一种基于八叉树的自适应网格加密算法,该算法适用于浸入几何方法中的输入输出测试。我们的八叉树为基础的immersogeometric方法进行了验证,使用一个基准的情况下,一个球体在静止的流体中,具有良好的协议。此外,良好的强(和弱)的超级计算资源的可扩展性,这个基准测试的情况下,多达16,384个进程被证明。所提出的方法进一步部署探索粒子迁移在直和收敛-发散通道。这个例子说明了潜在的八叉树为基础的immersogeometric方法,有效地跟踪粒子运动在复杂的通道流-一个问题,具有不同的应用程序。
In this paper, we develop a scalable, adaptively refined, octree-based finite element approach with immersogeometric analysis to track inertial migration of particles in microchannels. Fluid physics is modeled using a residual-based variational multiscale method, and the particle movement is modeled as rigid body motion. A parallel, hierarchically refined octree mesh is employed as the background mesh, on which a variationally consistent immersogeometric formulation is adopted for tracking the particle motion in the fluid. Adaptations of immersogeometric analysis on an octree background mesh are developed to enable efficient searching of background element for a given surface quadrature point, as well as a distribution of surface quadrature points over processors to reduce memory overhead and better parallelize the surface assembly. An octree-based adaptive mesh refinement algorithm adapted to in-out test in the immersogeometric approach is also developed. The validation of our octree-based immersogeometric approach is carried out using a benchmark case of a sphere settling in quiescent fluid, with good agreement presented. In addition, good strong (and weak) scalability on supercomputing resources for this benchmark case up to 16,384 processes is demonstrated. The proposed method is further deployed for exploring particle migration in straight and converging-diverging channels. This example illustrates the potential of the octree-based immersogeometric approach for efficiently tracking particle motion in complex channel flows – a problem with a diverse array of applications.
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