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马智博,石磊,于明,郑欢.物理质团法关于可压流计算的程序验证[J].航空动力学报,2019,34(6):1253~1272
物理质团法关于可压流计算的程序验证
Code verification of physics evoked cloud method for compressible fluid dynamics
投稿时间:2018-12-17  
DOI:10.13224/j.cnki.jasp.2019.06.009
中文关键词:  无网格方法  物理质团法  光滑粒子法  再生核粒子法  程序验证
英文关键词:mesh free method  physics evoked cloud method  smoothed particle hydrodynamics  reproducing kernel particle method  code verification
基金项目:中国工程物理研究院创新发展基金(CX2019026)
作者单位
马智博 北京应用物理与计算数学研究所,北京 100094 
石磊 浙江陆特能源科技股份有限公司,杭州 310052 
于明 北京应用物理与计算数学研究所,北京 100094 
郑欢 北京应用物理与计算数学研究所,北京 100094 
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中文摘要:
      为了评估无网格物理质团法(PECM)对可压流计算的可信性,结合物理认识对该方法的设计思想和数值格式进行了先验分析,基于9个一维模型数值解与参照解的对比信息,通过后验分析方法对PECM进行了程序验证,参照解包括无网格再生核粒子法(RKPM)的数值解以及精确解。验证结果表明:各种物理参数以及状态方程的强烈间断会导致RKPM严重的失稳或失真,而PECM在包括极大密度比在内的各种强间断条件下仍保持稳定和收敛并具有较高的准确度。
英文摘要:
      In order to assess the credibility of the mesh free physics evoked cloud method (PECM) applied in simulation of compressible flows, the ideas and schemes of this method were analyzed a priori by combining the cognitions of physical laws, and based on the information of comparisons between numerical and referential solutions about nine one-dimensional models, code verification of PECM was implemented through a posteriori assessments, in which the referential solutions include numerical solutions of mesh free reproducing kernel particle method (RKPM) and exact solutions. The results of code verification indicate that strong discontinuities in various physical parameters or equations of state can lead to serious instabilities or infidelities of RKPM, whereas PECM still works robustly with excellent properties of accuracy and convergence even if very large density ratio exists.
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