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三阶中心无振荡格式Cn3(Centered nonoscillatory scheme of third order)使用对称模板构造具有三阶精度的插值公式.利用单调区域与精确区域修正原始插值参数,该格式能够获得间断附近无振荡、光滑区域高精度的计算结果.通过一维和二维典型算例,将Cn3格式与三阶和五阶WENO格式(Weighted Essentially Non-Oscillatory schemes)进行比较,重点分析了3种格式的间断分辨率、计算稳定性和数值耗散性.分析可见,Cn3格式能够精确、稳定地捕捉激波和接触间断,同时对光滑流动区域的小尺度流动结构保持较低的耗散,值得进一步研究及推广应用.
Third-order center non-oscillation scheme Cn3 (interpolation order) is used to construct the interpolation formula with third-order accuracy. The original interpolation parameters are modified by using the monotonic region and the accurate region, and the format can obtain oscillation without discontinuity near the discontinuity Accuracy calculation results.Comparing Cn3 format with Weighted Essentially Non-Oscillatory schemes through one-dimensional and two-dimensional typical examples, we focus on analyzing the discontinuity resolution and stability of the three schemes And numerical dissipation.Analysis shows that the Cn3 format can accurately and stably capture shock and contact discontinuities while maintaining low dissipation of small-scale flow structures in smooth flow areas, which deserves further research and application.