An efficient low-dissipation hybrid weighted essentially non-oscillatory scheme

作者：Hu, X. Y.^*; Wang, B.; Adams, N. A.

来源：Journal of Computational Physics, 2015, 301: 415-424.

DOI：10.1016/j.jcp.2015.08.043

• Compressible flow
• High-resolution method
• Hybrid method

In this paper we propose a simple hybrid WENO scheme that has improved computational efficiency and less numerical dissipation compared to previous approaches. Based on the characteristic-decomposition approach, the scheme switches between numerical fluxes with characteristic-wise WENO reconstruction and with component-wise corresponding optimal linear reconstruction according to a new discontinuity detector. This non-dimensional discontinuity detector measures the local resolution limit of the linear scheme and does not degenerate at critical points. A number of numerical examples of inviscid and viscous flow problems shows that the hybrid scheme achieves small numerical dissipation and good robustness, and generally exhibits a very small amount of WENO calls.

• 出版日期2015-11-15
• 单位清华大学