综述了高精度加权紧致非线性格式WCNS在理论分析以及复杂流动应用方面的研究进展。首先回顾了国内外高精度格式研究的概况,然后介绍了WCNS的研究与发展历程。在对WCNS进行了Fourier分析和渐近稳定性分析后,给出了WCNS求解多维复杂流动的算例。
The progress in the theoretical analysis of high-order accurate weighted compact nonlinear schemes (WCNS) and applications to the complicated flows is summarized in this paper. The development of high-order schemes is reviewed, focusing on WCNS. WCNS are analyzed with Fourier method and asymptotic stability theory. Some explicit WCNS are used to solve multi-dimensional complicated flows.