同向旋转涡对发声的数值研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (13) : 43-48.

论文

同向旋转涡对发声的数值研究

包振忠，秦国良，和文强，王亚洲，穆毅伟

作者信息 +

Numerical simulation for a co-rotating vortex pair’s sounding

BAO Zhenzhong, QIN Guoliang, HE Wenqiang, WANG Yazhou, MU Yiwei

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文章历史 +

摘要

为深入探索流动发声的机理,本文将Ribner和Meecham提出的膨胀理论扩展到有背景流场存在的情形下，并对同向旋转涡对的发声问题进行了数值求解。空间离散采用高精度谱元法，时间推进采用隐式Newmark法，并在外边界采用Eliane-Dan-Thomas吸收边界条件。计算结果与用匹配渐进展开法得到的解析解进行比较，数值解与解析解吻合较好。另外计算了同向旋转涡对在不同旋转马赫数、均匀流场、剪切流场影响下的发声情况，并且对其频谱成分进行了分析。研究结果表明：谱元法结合膨胀理论能够高精度求解不可压缩流动引起的气动声学问题；吸收边界条件的使用有效降低了声波在边界处的反射；随着旋转马赫数的增大，声波波长减小，声源强度增大，峰值频率也随之增大；在均匀流场和剪切流场的作用下，声场呈现了典型的多普勒效应。

Abstract

To investigate the theory of flow-induced sounding deeply, the dilatation theory proposed by Ribner and Meecham was extended to a case with background flow field existing. A co-rotating vortex pair’s sounding was numerically simulated in both stationary medium and mean flow. The spectral element method was applied in space discretization, and the implicit Newmark method in time domain. Then, Eliane-Dan-Thomas absorbing boundary condition was adopted for external boundary. The numerical results were compared with those of the analytical solution obtained using the matched asymptotic expansion (MAE) method, both of them agreed well. Moreover, sounding statuses of a co-rotating vortex pair were simulated and analyzed under different rotating Mach numbers, uniform flows and shear mean flows. The components of their frequency spectra were also analyzed. The study showed that the spectral element method combined with the dilatation theory can be used to solve aero-acoustic problems induced by incompressible flows; using the absorbing boundary condition can effectively reduce acoustic wave reflection at the boundary; with increase in rotating Mach number, wavelengths of sound wave decrease, sound source intensity increases and the peak value frequency increases; the sound field produced by a co-rotating vortex pair reveals typical Doppler effects under the action of mean flow and shear flow.

导出引用

包振忠，秦国良，和文强，王亚洲，穆毅伟. 同向旋转涡对发声的数值研究[J]. 振动与冲击, 2018, 37(13): 43-48

BAO Zhenzhong, QIN Guoliang, HE Wenqiang, WANG Yazhou, MU Yiwei. Numerical simulation for a co-rotating vortex pair’s sounding[J]. Journal of Vibration and Shock, 2018, 37(13): 43-48

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