A note on WENO-Z scheme

作者：

Highlights：

• A strategy is applied on the classical WENO interpolation to recover the optimal accuracy near the discontinuities.

• The indicators of smoothness of big stencils is chosen appropriately and This choice ensure the order of accuracy and efficiency.

• The computational cost of new nonlinear interpolation is almost same as the classical WENO interpolation.

摘要

•A strategy is applied on the classical WENO interpolation to recover the optimal accuracy near the discontinuities.•The indicators of smoothness of big stencils is chosen appropriately and This choice ensure the order of accuracy and efficiency.•The computational cost of new nonlinear interpolation is almost same as the classical WENO interpolation.

论文关键词：WENO methods,Optimal weights,Adaptive order,Hyperbolic conservation laws

论文评审过程：Received 22 April 2020, Revised 23 October 2020, Accepted 3 December 2020, Available online 29 December 2020, Version of Record 29 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125886