A new high-accuracy scheme for compressible turbulent flows

作者:Li, Yansu; Yan, Chao*; Yu, Jian; Liu, Hongkang
来源:International Journal of Computational Fluid Dynamics, 2017, 31(9): 362-378.
DOI:10.1080/10618562.2017.1365844

摘要

Shock-capturing and broad-bandwidth scale resolutions are two main challenges of compressible turbulent flow simulation. To meet the rigorous requests, a novel fifth-order hybrid scheme based on a uniform hybrid framework is designed. With the help of a continuous weight operator, the new scheme combines an upwind compact scheme for smooth regions and a compact-reconstruction weighted essentially non-oscillatory scheme for discontinuous regions. Numerical analyses and canonical numerical tests confirm that the new scheme has high accuracy, spectral-like resolution property and shock-capturing capability. Besides, the new scheme shows high computational efficiency compared to the related shock-capturing schemes and hybrid ones.