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.