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研究了气动声学计算中的一种改进声扰动方程(IAPE)。采用三种不同的声传播模型,数值分析了声在均匀流以及剪切流中的传播问题。与线化欧拉方程(LEE)相比,除了个别位置预测的压力峰值较小以外,声扰动方程(APE)几乎能够预测到类似的物理特性;另外,APE方程具有无需求解密度方程,计算成本相对较少等优点。为弥补APE方程预测压力峰值较小的缺点,通过分析APE方程,这类方程中需要加入剪切流与声波相互作用的源项。为此,对APE方程进行改进,加入了一种声源项,计算结果表明,改进的APE方程(IAPE)能够和线化欧拉方程的计算结果保持一致。
A modified acoustic disturbance equation (IAPE) is studied in the aerodynamic acoustics calculation. Three different acoustic propagation models were used to numerically analyze the propagation of sound in uniform flow and in shear flow. Compared with the linearized Euler equation (LEE), the acoustic disturbance equation (APE) can predict almost similar physical properties except for the small predicted pressure peaks at individual locations; in addition, the APE equation has a solution-free equation and calculates the cost Relatively few advantages. To compensate for the shortcoming of the APE equation predicting small pressure spikes, the source term for the interaction between shear flow and acoustic wave needs to be added to these equations by analyzing the APE equation. Therefore, the APE equation is improved and a sound source term is added. The calculation results show that the modified APE equation (IAPE) can be consistent with the linear Euler equation.