自适应加密网格上全分辨轻粒子与格子玻尔兹曼方法的耦合
Coupling fully resolved light particles with the Lattice Boltzmann method on adaptively refined grids
摘要：
流体中几何分辨刚性粒子的模拟依赖于耦合算法来在粒子和流体之间双向传递动量。本文采用并行格子玻尔兹曼方法模拟流体流动，并采用自适应网格加密提高数值效率。用动量交换法实现了与粒子的耦合。当以普通形式实现时，当颗粒比流体轻时，耦合中可能出现不稳定性。该算法可以稳定与虚拟质量校正专门开发的格子玻尔兹曼方法。该方法进行了分析，为广泛的物理相关制度，独立变化的身体流体的密度比和惯性和粘性效应的相对大小。这些研究的一个单一的上升粒子表现出周期性制度的粒子运动以及混沌行为，如以前在文献中报道的。新方法进行了仔细比较，与现有的实验和数值计算结果。这有助于验证所提出的新的耦合格子玻尔兹曼方法，此外，它导致新的物理见解的一些参数设置。
英文摘要：
The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel Lattice Boltzmann method using adaptive grid refinement to improve numerical efficiency. The coupling with the particles is realized with the momentum exchange method. When implemented in plain form, instabilities may arise in the coupling when the particles are lighter than the fluid. The algorithm can be stabilized with a virtual mass correction specifically developed for the Lattice Boltzmann method. The method is analyzed for a wide set of physically relevant regimes, varying independently the body-to-fluid density ratio and the relative magnitude of inertial and viscous effects. These studies of a single rising particle exhibit periodic regimes of particle motion as well as chaotic behavior, as previously reported in the literature. The new method is carefully compared with available experimental and numerical results. This serves to validate the presented new coupled Lattice Boltzmann method and additionally it leads to new physical insight for some of the parameter settings.
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