Large-Scale Parallel Analysis Based on the Upwind LSMPS Method in Euler Description
Large-Scale Parallel Analysis Based on the Upwind LSMPS Method in Euler Description
复制标题
基于欧拉描述中的迎风LSMPS方法的大规模并行分析
DOI：
10.11421/jsces.2023.20230003
复制
发表时间：
2023
影响因子：
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通讯作者：
三目 直登
中科院分区：
文献类型：
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作者：
田中 克治;森田 直樹;三目 直登
本研究基于最优拓扑设计的无网格方法，开发了一种用于欧拉描述的大规模并行分析的数值方法。因此，我们提出了最小二乘移动粒子半隐式（LSMPS）方法的迎风方案，以稳定与欧拉描述相关的数值振荡。此外，我们将基于传统重叠域分解的分布式内存并行化方法扩展到粒子的图结构，并基于我们提出的逆风LSMPS方法开发了并行对流扩散分析求解器。此外，我们通过解决 3D 对流扩散问题对所提出的方法进行了验证和扩展测试。
This study develops a numerical method for large-scale parallel analysis in Euler description based on the mesh-free method for optimal topology design. Therefore, we propose an upwind scheme for the least squares moving particle semi-implicit (LSMPS) method to stabilize numerical oscillations associated with the Euler description. In addition, we extend the distributed memory parallelization method based on a conventional overlapping domain decomposition to the graph structure of the particles, and develop a parallel convection–diffusion analysis solver based on our proposed upwind LSMPS method. Furthermore, we perform a verification and scaling tests of the proposed method by solving the 3D convection–diffusion problem.