SPH方法Delaunay三角刨分与自由液面重构

发布时间：2018-05-07 23:11

本文选题：SPH + Delaunay三角刨分　；参考：《计算力学学报》2016年04期

【摘要】：光滑粒子法(SPH)作为一种拉格朗日型无网格方法,兼具欧拉网格方法和拉格朗日网格方法的优势,已经成功应用于科学和工程的众多领域。SPH方法后处理一般基于无规则分布的粒子,不如网格类方法后处理简便、直接。另外,SPH方法模拟自由液面流动等问题时,通过粒子位置难以重构自由液面的准确位置。发展一种基于Delaunay三角刨分的SPH后处理方法,即先基于SPH粒子位置利用Delaunay三角刨分建立三角网格,然后将粒子信息转化成网格单元/节点信息,从而可以在三角网格上进行后处理,实现基于网格方法的后处理功能,并可以在三角网格上直接提取或重构自由液面。将本文的方法应用到液滴碰撞和溃坝流SPH模拟结果的后处理中,得到了非常好的结果,表明本文的方法有效可靠。
[Abstract]:As a Lagrangian meshless method, the smooth particle method (SPH) has the advantages of both the Euler mesh method and the Lagrangian mesh method. The SPH method has been successfully applied to many fields of science and engineering. Generally, it is based on irregularly distributed particles, which is not as simple and direct as the grid method. In addition, it is difficult to reconstruct the exact position of the free liquid surface by particle position when the SPH method is used to simulate the free surface flow. In this paper, a SPH post-processing method based on Delaunay triangulation is developed. Firstly, based on the position of SPH particles, the triangular mesh is established by Delaunay triangulation, and then the particle information is transformed into grid unit / node information. Thus, the post-processing can be carried out on triangular mesh, and the post-processing function based on mesh method can be realized, and free liquid level can be directly extracted or reconstructed on triangular mesh. The method presented in this paper is applied to the post-processing of the SPH simulation results of droplet collision and dam-break flow. The results show that the proposed method is effective and reliable.
【作者单位】：中国科学院力学研究所流固耦合系统力学重点实验室;爱荷华州立大学机械工程系;北京大学工学院;
【基金】：国家自然科学基金(11302237;11172306)资助项目
【分类号】：O35

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