An adaptive central-upwind weighted essentially non-oscillatory scheme

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

来源：Journal of Computational Physics, 2010, 229(23): 8952-8965.

DOI：10.1016/j.jcp.2010.08.019

• Numerical method
• Compressible flow
• High-order scheme

In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory (WENO) scheme is developed. The scheme adapts between central and upwind schemes smoothly by a new weighting relation based on blending the smoothness indicators of the optimal higher order stencil and the lower order upwind stencils. The scheme achieves 6th-order accuracy in smooth regions of the solution by introducing a new reference smoothness indicator. A number of numerical examples suggest that the present scheme, while preserving the good shock-capturing properties of the classical WENO schemes, achieves very small numerical dissipation.

• 出版日期2010-11-20
• 单位中国航天空气动力技术研究院