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

ZHOU Zhiteng; WANG Hongping; WANG Shizhao; HE Guowei

doi:10.7638/kqdlxxb-2020.0141

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

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

更新时间：2026-05-28

- Quadrupole source term corrections based on correlation functions for Ffowcs Williams and Hawkings integrals
- Vol. 38, Issue 6, Pages: 1129-1135(2020)
- 作者机构：
  
  1. 中国科学院力学研究所非线性力学国家重点实验室,北京,100190
  2. 中国科学院大学工程科学学院,北京,100049
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2020.0141
  CLC： O242
- Published：2020
- 稿件说明：
移动端阅览
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.

ZHOU Zhiteng, WANG Hongping, WANG Shizhao, et al. Quadrupole source term corrections based on correlation functions for Ffowcs Williams and Hawkings integrals[J]. 2020, 38(6): 1129-1135.
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, et al. Quadrupole source term corrections based on correlation functions for Ffowcs Williams and Hawkings integrals[J]. 2020, 38(6): 1129-1135. DOI： 10.7638/kqdlxxb-2020.0141.

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.

关键词

Keywords

references

FFOWCS WILLIAMS J E, HAWKINGS D L. Sound generation by turbulence and surfaces in arbitrary motion[J]. Philosophical Transactions of the Royal Society of London Series A, Mathematical and Physical Sciences, 1969, 264(1151):321-342. DOI:10.1098/rsta.1969.0031

DUAN G Z, CHEN P J. Research of helicopter rotor aeroacoustic noise based on CFD technics[J]. Acta Aerodynamica Sinica, 2009, 27(3):314-319.(in Chinese) DOI:10.3969/j.issn.0258-1825.2009.03.009

HE XI, SHI Y J, XU G H. Control mechanism of the thickness noise based on sound pressure cancellation[J]. Acta Aerodynamica Sinica, 2019, 37(6):893-900.(in Chinese) DOI:10.7638/kqdlxxb-2018.0049

LU Q H, CHEN B. Analysis ofaeroacoustics characteristics of high lift device using LES method[J]. Acta Aerodynamica Sinica, 2016, 34(4):448-455.(in Chinese) DOI:10.7638/kqdlxxb-2014.0140

LIU Z R, WANG F X, SONG W B, et al. Far-field aeroacoustic analysis for slat of a two-dimensional high-lift configuration[J]. Acta Aerodynamica Sinica, 2012, 30(3):388-393.(in Chinese) DOI:10.3969/j.issn.0258-1825.2012.03.018

WANG L, MOCKETT C, KNACKE T, et al. Detached-eddy simulation of landing-gear noise[C]//Proc of the 19th AIAA/CEAS Aeroacoustics Conference, Berlin, Germany. Reston, Virginia: AIAA, 2013.

CHEN J Q. Advances in the key technologies of Chinese National Numerical Windtunnel project[J]. Scientia Sinica Technologica, 2020(online). (in Chinese) DOI:10.2514/6.2013-2277

NITZKORSKI Z, MAHESH K. A dynamic end cap technique for sound computation using the Ffowcs Williams and Hawkings equations[J]. Physics of Fluids, 2014, 26(11):115101. DOI:10.1063/1.4900876

IKEDA T, ENOMOTO S, YAMAMOTO K, et al. Quadrupole effects in the ffowcs williams-hawkings equation using permeable control surface[C]//Proc of the 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference), Colorado Springs, CO. Reston, Virigina: AIAA, 2012. DOI: 10.2514/6.2012-2069

WANG M, LELE S K, MOIN P. Computation of quadrupole noise using acoustic analogy[J]. AIAA Journal, 1996, 34(11):2247-2254. DOI:10.2514/3.13387

RAHIER G, HUET M, PRIEUR J. Additional terms for the use of Ffowcs Williams and Hawkings surface integrals in turbulent flows[J]. Computers Fluids, 2015, 120:158-172. DOI:10.1016/j.compfluid.2015.07.014

YAO H D, DAVIDSON L, ERIKSSON L E. Noise radiated by low-Reynolds number flows past a hemisphere at Ma=0.3[J]. Physics of Fluids, 2017, 29(7):076102. DOI:10.1063/1.4994592[LinkOut]

MAO Y J, HU Z W. Analysis of spurious sound due to vortical flow through permeable surfaces[J]. Aerospace Science and Technology, 2020, 96:105544. DOI:10.1016/j.ast.2019.105544

SHUR M L, SPALART P R, STRELETS M K, et al. Towards the prediction of noise from jet engines[J]. International Journal of Heat and Fluid Flow, 2003, 24(4):551-561. DOI:10.1016/s0142-727x(03)00049-3

LOCKARD D, CASPER J. Permeable surface corrections for ffowcs williams and hawkings integrals[C]//Proc of the 11th AIAA/CEAS Aeroacoustics Conference, Monterey, California. Reston, Virigina: AIAA, 2005. DOI: 10.2514/6.2005-2995

LOCKARD D P. An efficient, two-dimensional implementation of the ffowcs williams and hawkings equation[J]. Journal of Sound and Vibration, 2000, 229(4):897-911. DOI:10.1006/jsvi.1999.2522

LOCKARD D. A comparison of ffowcs williams-hawkings solvers for airframe noise applications[C]//Proc of the 8th AIAA/CEAS Aeroacoustics Conference Exhibit, Breckenridge, Colorado. Reston, Virigina: AIAA, 2002. DOI: 10.2514/6.2002-2580

ZHANG W B, WANG C, WANG Y L. Parameter selection in cross-correlation-based velocimetry using circular electrostatic sensors[J]. IEEE Transactions on Instrumentation and Measurement, 2010, 59(5):1268-1275. DOI:10.1109/TIM.2010.2040901

CHEUNG L, LELE S. Evaluation of far-field sound with open surface corrections to lighthill's equation[C]//Proc of the 12th AIAA/CEAS Aeroacoustics Conference (27th AIAA Aeroacoustics Conference), Cambridge, Massachusetts. Reston, Virigina: AIAA, 2006. DOI: 10.2514/6.2006-2488

IKEDA T, ENOMOTO S, YAMAMOTO K, et al. Quadrupole corrections for the permeable-surface Ffowcs Williams-Hawkings equation[J]. AIAA Journal, 2017, 55(7):2307-2320.

INOUE O, HATAKEYAMA N. Sound generation by a two-dimensional circular cylinder in a uniform flow[J]. Journal of Fluid Mechanics, 2002, 471:285-314. DOI:10.1017/s0022112002002124

GLOERFELT X, PÉROT F, BAILLY C, et al. Flow-induced cylinder noise formulated as a diffraction problem for low Mach numbers[J]. Journal of Sound and Vibration, 2005, 287(1-2):129-151. DOI:10.1016/j.jsv.2004.10.047

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Effect of pitch angle on the flapping flight and sound generation

Application of 5.5 m × 4 m aeroacoustic wind tunnel in Sino-Russia joint research collaboration on landing gear noise and its control

Flow-induced noise problems of propellers

Impact of inter-wing spacing on aerodynamic noise in multi-flapping wing configurations

Noise prediction and reduction methods for LAGOON landing gear based on Lattice Boltzmann method

Related Author

WANG Yongtao

ZHOU Zhiteng

WANG Shizhao

ZHAO Kun

WANG Xunnian

SONG Yubao

FAN Zhenglei

KOPIEV Victor

Related Institution

School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing

Institute of Mechanics, Chinese Academy of Sciences, Beijing

Key Laboratory of Aerodynamic Noise Control, Low Speed Aerodynamics Institute of China Aerodynamics Research and Development Center,, China

Department of Aeroacoustics, Central Aerohydrodynamic Institute, Moscow Research Complex,, Russia

北京大学工学院航空航天工程系

AI问答

⁰