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用差分方法模拟非定常流动和气动声学问题时，重要的一点是使差分格式的色散关系尽量与原波动方程一致．文中总结了建立差分方程色散关系的各种方法，以积累误差为优化目标函数对差分格式进行了优化分析，有效地控制了差分格式长时间计算的精度与稳定性问题，证明时间积分采用四级Ｒｕｎｇｅ－Ｋｕｔａ法较之三级Ｒｕｎｇｅ－Ｋｕｔａ法更适合于将单波方程优化格式推广至方程组，以Ｏｓｈｅｒ－ＣｈａｋｒａｖａｒｔｈｙＴＶＤ格式和ＰＦＤＤ格式为例，给出有限面积格式的优化方法，并以实例证明其有效性．
When using the differential method to simulate unsteady flow and aeroacoustics problems, it is important to make the dispersion of the difference format as consistent as possible with the original wave equation. In this paper, we summarize various methods to establish the dispersion relation of difference equation, and optimize the difference scheme by taking the error as the objective function of optimization, and effectively control the accuracy and stability problem of the long form of the difference scheme. It is proved that the four points The Runge-Kuta method is more suitable than the Runge-Kuta method to generalize the single-wave equation optimization scheme to the system of equations. The Osher-Chakravarthy TVD and PFDD schemes are given as examples to show the optimization of the finite-area scheme. Its effectiveness.