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对比分析迎风型格式及中心耗散格式优劣性,采用傅里叶分析方法分析显式格式及紧致格式在波数空间可准确模拟的波数范围。通过编程研究6种紧致格式,其中为保证紧致格式在内点及边界点的一致性,采用高精度边界格式,加入了滤波运算和采用更小的CFL数来控制紧致格式的稳定性。数值试验表明,中心紧致格式有更小的耗散误差及色散误差;通过4阶Pade格式计算模型绕流,验证了边界处理的正确性,也更加认识到紧致格式有非常严格的稳定性限制。
By contrasting the advantages and disadvantages of the windward format and the central dissipation format, the wave number range of the explicit format and the compact format that can be accurately simulated in the wavenumber space is analyzed by the Fourier analysis method. Six kinds of compactness schemes are studied through programming. In order to ensure the compactness of the compactness at the inner point and the boundary point, high-precision boundary format, filtering operation and smaller CFL number are used to control the compactness of compactness . The numerical experiments show that the central compact format has smaller dispersion error and dispersion error. The flow around the model is calculated by 4-order Pade format, which verifies the correctness of the boundary processing and also realizes that the compact format has a very strict stability limit.