Abstract:With the continuous deepening of scientific research

the current calculation schemes is still unable to meet the requirements of high accuracy

high resolution

high efficiency and high stability for numerical simulation of fluid mechanics. In this paper

we investigated the performance of computational accuracy

computational efficiency and stability of compact WENO scheme

and constructed a new compact WENO scheme. The numerical experiment results show that the new compact WENO scheme can improve the calculation speed obviously and reduce the calculation time significantly on the premise of maintaining the resolution of the original compact WENO scheme. Therefore

this study can be regarded as a useful supplement and exploration for the research of high accuracy numerical methods.