周志腾, 王洪平, 王士召, 何国威. 基于关联速度的FW-H积分四极子声源修正模型[J]. 空气动力学学报, 2020, 38(6): 1129-1135. DOI: 10.7638/kqdlxxb-2020.0141
引用本文: 周志腾, 王洪平, 王士召, 何国威. 基于关联速度的FW-H积分四极子声源修正模型[J]. 空气动力学学报, 2020, 38(6): 1129-1135. DOI: 10.7638/kqdlxxb-2020.0141
ZHOU Zhiteng, WANG Hongping, WANG Shizhao, HE Guowei. Quadrupole source term corrections based on correlation functions for Ffowcs Williams and Hawkings integrals[J]. ACTA AERODYNAMICA SINICA, 2020, 38(6): 1129-1135. DOI: 10.7638/kqdlxxb-2020.0141
Citation: ZHOU Zhiteng, WANG Hongping, WANG Shizhao, HE Guowei. Quadrupole source term corrections based on correlation functions for Ffowcs Williams and Hawkings integrals[J]. ACTA AERODYNAMICA SINICA, 2020, 38(6): 1129-1135. DOI: 10.7638/kqdlxxb-2020.0141

基于关联速度的FW-H积分四极子声源修正模型

Quadrupole source term corrections based on correlation functions for Ffowcs Williams and Hawkings integrals

  • 摘要: FW-H积分中的四极子声源项常在远场噪声的计算中引起虚假声源问题。这类虚假声源是由于计算四极子声源的积分域不能包含全部声源区域,Lighthill应力张量穿过四极子声源的积分域边界引起的。本文在频域方法的框架下改进了四极子声源项的修正模型,用于修正Lighthill应力张量穿过积分域边界引起的误差。该模型基于泰勒冻结流假设,利用关联函数计算Lighthill应力张量的对流速度。与常用的均匀来流对流速度相比,本文提出的模型考虑了对流速度的空间非均匀性,改善了非均匀流动区域FW-H积分面对远场噪声的影响。二维对流涡和圆柱绕流的远场噪声验证了本文模型的有效性。

     

    Abstract: The quadrupole source term in the Ffowcs Williams and Hawkings (FW-H) integrals usually causes spurious contributions to the far field sound. The spurious contributions are contributed by the convection of the Lighthill stress tensor crossing the FW-H integral surface when the integral domain cannot include all the quadrupole sources. We proposed a quadrupole source term correction model within the frequency domain to correct the errors associated with the convection of Lighthill stress tensor. Based on Taylor's hypothesis, the proposed model uses the correlation functions of the Lighthill stress tensor to compute the convection velocity. Compared with the using of uniform upstream velocity as the convection velocity, the proposed model has the advantages of taking account for the non-uniform distribution of the convection velocity. We validate the proposed model by computing the far-field sound generated by the two-dimensional convecting vortex and the flows around a circular cylinder. The proposed model significantly improves the directivity of the far field sound generated by the flows around the circular cylinder.

     

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