A new smoothness indicator for third-order WENO scheme

作者：Wu, Xiaoshuai; Liang, Jianhan^*; Zhao, Yuxin

来源：International Journal for Numerical Methods in Fluids, 2016, 81(7): 451-459.

DOI：10.1002/fld.4194

• WENO
• smoothness indicator
• approximation order
• nonlinear weights
• high resolution
• discontinuity

We present a new reference smoothness indicator for third-order weighted essentially non-oscillatory scheme to recover its design-order convergence at critical points. This reference smoothness indicator, which involves both the candidate and global smoothness indicators in the weighted essentially non-oscillatory framework, is devised according to a sufficient condition on the weights for third-order convergence. The recovery of design-order is verified by standard tests. Meanwhile, numerical results demonstrate that the present reference smoothness indicator produces sharper representation of the discontinuity owing to the combined effects of larger weight assignment to the discontinuous stencils and convergence rate recovery.

• 出版日期2016-7-10
• 单位中国人民解放军国防科学技术大学