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ハイドロプレーニング現象解析のための粒子法－有限要素法連成ＧＰＵ計算法

滑水现象分析的粒子法-有限元法耦合GPU计算方法

基本信息

批准号：
18F18702
负责人：
吉村忍
金额：
$ 1.41万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for JSPS Fellows
财政年份：
2018
资助国家：
日本
起止时间：
2018-11-09 至 2021-03-31
项目状态：
已结题

项目摘要

In this research, a 2D flexible ghost cell boundary (GCB) model was firstly proposed for the MPS method, where 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, 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 order to calculate the particle-cell interaction, the Gauss integration method is applied for convenience. The related results have been published as a journal paper on Computational Mechanics. Secondly, an explicit MPS-FEM coupling algorithm was proposed. The developed coupling algorithm bears the following features: (1) this algorithm provides an easy and efficient way to construct ghost cells; (2) there is no matching requirement between cell size and particle spacing. Corresponding research results have been published as a journal paper on Engineering Analysis with Boundary Elements.In addition to the above journal papers, we have attended six international conferences and presented our research results with other researchers, including the ICCES20119, the ICCM2019, the USNCCM2019, the APCOM2019, the COMPSAFE2020 and the WCCM ECCOMAS2020.

在这项研究中，一个2D灵活的鬼细胞边界（GCB）模型首次提出的MPS方法，其中的新模型的吸引力在于提供一个简单和自然的处理复杂形状的壁边界。一方面，可以很容易地表示壁边界通过使用不同大小或形状的鬼细胞，鬼细胞是在预处理阶段构建。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。为了计算粒子-细胞相互作用，采用了高斯积分法。相关结果已作为计算力学期刊论文发表。其次，提出了MPS-FEM显式耦合算法。该耦合算法具有以下特点：（1）该算法提供了一种简单有效的方法来构建鬼细胞;（2）没有细胞大小和颗粒间距之间的匹配要求。除上述论文外，我们还参加了ICCES 20119、ICCM 2019、USNCCM 2019、APCOM 2019、COMPSAFE 2020和WCCM ECCOMAS 2020等六个国际会议，并与其他研究人员一起展示了我们的研究成果。