两种模拟细长颗粒在流体中翻滚运动的计算模型
Two Computational Models for Simulating the Tumbling Motion of Elongated Particles in Fluids
摘要：
悬浮液与纤维状颗粒在低雷诺数制度的建模由两种不同的方法，都使用拉格朗日表示的单个颗粒。第一种方法是基于Stokes流的完善的公式，其被公式化为积分方程。它使用一个细长体近似的纤维，以代表它们之间的相互作用，而不显式计算流场直接。第二种是在并行超级计算机上使用3D格子玻尔兹曼方法的新技术。在这里，流计算耦合到一个计算模型的动力学的刚体使用流体-结构相互作用技术。这两种方法都可以应用于模拟流体中的纤维。它们经过仔细验证并相互比较，系统地揭示了它们在准确性，计算成本和可能的模型扩展方面的优势和劣势。
英文摘要：
Suspensions with fiber-like particles in the low Reynolds number regime are modeled by two different approaches that both use a Lagrangian representation of individual particles. The first method is the well-established formulation based on Stokes flow that is formulated as integral equations. It uses a slender body approximation for the fibers to represent the interaction between them directly without explicitly computing the flow field. The second is a new technique using the 3D lattice Boltzmann method on parallel supercomputers. Here the flow computation is coupled to a computational model of the dynamics of rigid bodies using fluid-structure interaction techniques. Both methods can be applied to simulate fibers in fluid flow. They are carefully validated and compared against each other, exposing systematically their strengths and weaknesses regarding their accuracy, the computational cost, and possible model extensions.
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