Perturbation Accuration Of WENOZ+

The WENO scheme is a type of widely used high-precision scheme that has emerged in the development faults of numerical methods of fluid mechanics in recent years.Its research mainly focuses on the continuous updating and promotion of discrete numerical methods,and the improvement of the excellent properties of numerical methods is the key to research.In order to improve the accuracy of the scheme and reduce its numerical dissipation,the WENOZ+ scheme is a type of typical WENO scheme reconstructed by the WENO scheme by increasing the accuracy at the mechanism point.The numerical perturbation method was proposed by Chinese scholar Gao Zhi,and has become a typical high-precision numerical method.In this paper,the weight coefficients are reconstructed by adding additional terms in the smoothing factor,which solver to obtain a more reasonable weight coefficients of the discontinuous area.The numerical perturbation method is further applied to the scheme after the weight coefficients have updated.The superposition of the two methods cleverly constructs a new perturbation scheme,which has lower numerical dissipation and higher precision resolution compared with the original scheme.At the same time,the disadvantages that original scheme had a lower order at extreme points has changed and the scheme get a higher order accuracy without increasing the amount of calculation.We refer to the scheme processed by the numerical perturbation method as the PWENOZ+ scheme.In this article,we focus on the process of developing the 5th order PWENOZ+ scheme.At the last,we use the new scheme to numerical simulation different classic complex flow field problems containing discontinuities,the different results provide a data to analyze the improvement of the P-WENOZ+ scheme and show we the shortcomings.