空气动力学学报2025，Vol.43Issue(7)：52-62,11.DOI:10.7638/kqdlxxb-2024.0089
FW-H方程在声学速度预测中的拓展
Extension of the FW-H equation for acoustic velocity prediction
摘要
Abstract
Acoustic velocity vector offers unique advantages in characterizing the acoustic field and flow sound decomposition.However,despite its wide application in extrapolating the far-field acoustic pressure,the classical FW-H equation cannot be directly used to predict the far-field acoustic velocity.Based on the acoustic radiation from a point source in uniform flows,we established an explicit physical correlation in the frequency domain between the far-field acoustic velocity and pressure,leveraging the convective Green's function and the linearized momentum equation.Consequently,a novel analytical formulation for acoustic velocity in the frequency domain,FV3A-M,was proposed in this paper.The validity of FV3A-M was demonstrated by its successful application to benchmark cases involving a monopole and a dipole radiating in a uniform flow.Furthermore,the noise generated by a low-Mach-number turbulent flow past the rod-airfoil configuration was numerically obtained by DDES and the acoustic pressure extrapolated with the FW-H equation agreed well with the experimental data.In the observation plane,the directivity of the streamwise component of acoustic velocity at the primary frequency resembled the characteristics of typical quadrupole acoustic pressure fields,whereas the distributions of the remaining two components exhibited characteristics of dipole acoustic pressure fields.Notably,the prediction of far-field acoustic velocity through FV3A-M is only a by-product of the integration process of FW-H equation's acoustic pressure extrapolation,significantly broadening the application scenarios of the FW-H equation.关键词
FW-H方程/格林函数/可渗透面/声比拟/声学速度Key words
FW-H equation/Green's function/permeable surface/acoustic analogy/acoustic velocity分类
航空航天引用本文复制引用
赵东旭,王垿桁,宋亚辉,刘秋洪..FW-H方程在声学速度预测中的拓展[J].空气动力学学报,2025,43(7):52-62,11.基金项目
国家自然科学基金(12472264) （12472264）
