Approximate dispersion relation (ADR) may represent modified wave numbers of nonlinear schemes, and a numerical procedure is proposed to compute the ADR. The ADRs of the fifth-order nonlinear WENO5 and WCNS-E-5 finite difference schemes are compared with each other to show their spectral property. The results indicate that the dispersion error of the WCNS-E-5 is smaller than that of the WENO5, and the dissipation error of the WCNS-E-5 is also smaller than that of the WENO5. The whole spectral property of the WCNS-E-5 is better than that of the WEN05.%近似色散关系(ADR)可以用来分析非线性格式的修正波数.发展了一种求解ADR的数值方法,通过数值求解ADR比较了5阶非线性WENO5和WCNS-E-5有限差分格式的频谱特性.计算结果表明WCNS-E-5的色散误差比WENO5小,数值耗散也比WENO5小,整体性能比WENO5优越.
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