物理质团法关于可压流计算的程序验证

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。 

Code verification of physics evoked cloud method for compressible fluid dynamics

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.