Accuracy analysis of SPH with secomd order kernel approximation and its application to viscosity flow simulation

SPH is a Lagrangian mesh-free particle method.According to the low accuracy characteristics of kernel approximation for traditional SPH,a second order kernel approximation SPH(K2_SPH) was introduced.After the comparison of traditional SPH and the moving least square method,the accuracy characteristics of K2_SPH were obtained.Then K2_SPH was applied to simulate the flat plate flow,which is one of typical benchmarks for the meshless particle method.With the improvement of kernel approximation,the results of K2_SPH show higher accuracy and more stability compared with traditional SPH.