A novel ghost cell boundary model for the explicit moving particle simulation method in two dimensions
A novel ghost cell boundary model for the explicit moving particle simulation method in two dimensions
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DOI：
10.1007/s00466-020-01842-0
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发表时间：
2020-03
影响因子：
4.1
通讯作者：
Zumei Zheng;Guangtao Duan;N. Mitsume;Shunhua Chen;S. Yoshimura
中科院分区：
文献类型：
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作者：
Zumei Zheng;Guangtao Duan;N. Mitsume;Shunhua Chen;S. Yoshimura
移动粒子模拟（MPS）方法已被证明是一种有效的技术来模拟有自由表面的流体流动。然而，如何准确、鲁棒地处理复杂几何形状的壁面边界问题仍然是一个具有挑战性的任务。本文的目的是提出一个二维鬼细胞边界模型的显式MPS方法，以实现这一目标。这种新模型的吸引力在于为复杂形状的壁面边界提供了一种简单而自然的处理方法。一方面，可以通过使用不同尺寸或形状的鬼单元（例如，二维中的三角形和四边形）来容易地表示壁边界，并且鬼单元在预处理阶段中被构造。另一方面，颗粒-细胞相互作用可以通过MPS模型的积分版本来建模，该MPS模型需要每个细胞的特定面积，而壁边界附近的颗粒-颗粒相互作用仍然通过MPS模型的常规版本通过假设每个颗粒占据相同的面积来处理。以这种方式，粒子-细胞相互作用被自然地建模。通过静水压力试验和溃坝试验验证了模型的有效性，并对鬼胞分布的影响进行了数值分析。最后，通过一个考虑星形障碍物的溃坝流算例，验证了该模型在处理复杂边界问题时的有效性。
The moving particle simulation (MPS) method has proved to be an effective technique to model fluid flows with free surfaces. However, it still remains a challenging task to treat the wall boundary problem with complicated geometries accurately and robustly. The purpose of this work is to propose a two-dimensional ghost cell boundary model for the explicit MPS method to achieve this end. The appeal of the novel model lies in providing an easy and natural treatment for the wall boundary of complicated shapes. On one hand, the wall boundary can be easily represented by using ghost cells of different sizes or shapes (e.g. triangles and quadrilaterals in two dimensions), and ghost cells are constructed in the pre-processing phase. On the other hand, the particle-cell interaction can be modeled by an integral version of the MPS model that requires the specific area of each cell, while the particle-particle interaction near wall boundary is still handled by the conventional version of the MPS model via assuming that each particle takes the same area. In this manner, the particle-cell interaction is modeled naturally. Two numerical examples, i.e. the hydrostatic and dam break tests, are performed to validate the effectiveness of the proposed model, where the effects of the distribution of ghost cells are also numerically investigated. Finally, a numerical case considering a star-shaped obstacle in dam break flows is carried out to demonstrate the capacity of the novel model in dealing with the wall boundary problem with complicated geometries.