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Particle method of characteristics (PMOC) for unsteady pipe flow

机译:不稳定管道流动的特征粒子法(PMOC)

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摘要

A novel particle method of characteristics (PMOC) to simulate unsteady pipe flows is introduced and validated in the present study. Contrary to the conventional method of characteristics (MOC), the present formulation is built by reallocating the computational nodes along the characteristic lines. Both the right- and left-running characteristics are accurately traced and imitated with their associated computational particles. The annoying numerical inconveniences in the fixed-grid arrangement due to incompatible Courant-Friedrichs-Lewy (CFL) condition by repeating solution interpolations is effectively eliminated. Special particles with dual states satisfying the Rankine-Hugoniot relations are deliberately imposed to emulate the shock structure. Efficacy of this formulation is verified by solving some benchmark problems with significant transient effects in pipe flows. Computational results of piezometric head and flow velocity are meticulously compared with available analytical solutions. It is concluded that the proposed PMOC will be a useful tool to replicate transient phenomena in pipe flows.
机译:在本研究中引入并验证了一种新颖的特征粒子法(PMOC),用于模拟非稳态管道流动。与传统的特征方法(MOC)相反,通过沿特征线重新分配计算节点来构建本公式。正确地跟踪了左右行驶特性,并用它们相关的计算粒子进行了模拟。有效地消除了由于重复求解插值而产生的不相容Courant-Friedrichs-Lewy(CFL)条件导致的固定网格布置中令人讨厌的数值不便。刻意施加具有满足兰金-休格尼特关系的双态的特殊粒子,以模拟激波结构。通过解决一些在管道流动中具有明显瞬态效应的基准问题,可以验证该配方的有效性。将测压头和流速的计算结果与可用的分析解决方案进行了精心比较。结论是,提出的PMOC将是复制管道流动中瞬态现象的有用工具。

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