Lighthill Stress Flux Model for Ffowcs Williams–Hawkings Integrals in Frequency Domain

No AccessTechnical NotesLighthill Stress Flux Model for Ffowcs Williams–Hawkings Integrals in Frequency DomainZhiteng Zhou, Hongping Wang, Shizhao Wang and Guowei HeZhiteng ZhouState Key Laboratory of Nonlinear Mechanics, Chinese Academy Sciences, 100190 Beijing, People’s Republic China*Ph.D. Candidate, Institute Mechanics; also School Engineering University 100049 China.Search more papers by this author, WangState China†Postdoctoral Research Scientist, Sciences China‡Professor, China; (Corresponding Author).Search author HeState China§Professor, authorPublished Online:30 Jul 2021https://doi.org/10.2514/1.J060070SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Williams J. E. Hawkings D. L., “Sound Generation Turbulence Surfaces Arbitrary Motion,” Philosophical Transactions the Royal Society London, Series A: Mathematical Physical Vol. 264, No. 1151, 1969, pp. 321–342. https://doi.org/10.1098/rsta.1969.0031 CrossrefGoogle Scholar[2] Ikeda T., Enomoto S., Yamamoto K. Amemiya K., “Quadrupole Corrections Permeable-Surface Equation,” AIAA Journal, 55, 7, 2017, 2307–2320. https://doi.org/10.2514/1.J055328 LinkGoogle Scholar[3] Yao H.-D., Davidson L. Eriksson L.-E., “Noise Radiated Low-Reynolds Number Flows Past a Hemisphere at Ma = 0.3,” Physics Fluids, 29, Paper 076102. https://doi.org/10.1063/1.4994592 Google Scholar[4] Spalart P. R., Belyaev V., Shur M. Kh Strelets Travin A. “On Differences Noise Predictions Based on Solid Permeable Surface Integral Solutions,” International Journal Aeroacoustics, 18, Nos. 6–7, 2019, 621–646. https://doi.org/10.1177/1475472X19878934 Scholar[5] Zhong S. Zhang X., “A Sound Extrapolation Method Aeroacoustics Far-Field Prediction Presence Vortical Waves,” Fluid 820, June 424–450. https://doi.org/10.1017/jfm.2017.219 Scholar[6] Mao Y. Hu Z., “Analysis Spurious due Flow Through Surfaces,” Aerospace Science Technology, 96, Jan. 2020, 105544. https://doi.org/10.1016/j.ast.2019.105544 Scholar[7] M., Lele Moin P., “Computation Quadrupole Using Acoustic Analogy,” 34, 11, 1996, 2247–2254. https://doi.org/10.2514/3.13387 Scholar[8] Nitzkorski Z. Mahesh Dynamic End Cap Technique Computation Equations,” 26, 2014, 115101. https://doi.org/10.1063/1.4900876 Scholar[9] Rahier G., Huet Prieur J., “Additional Terms Use Turbulent Flows,” Computers 120, Oct. 2015, 158–172. https://doi.org/10.1016/j.compfluid.2015.07.014 Scholar[10] “The Frequency-Domain Formulations Correction Williams-Hawkings Integration,” Conferences, 2016-2794, 2016. https://doi.org/10.2514/6.2016-2794 Scholar[11] Lockard Casper “Permeable Integrals,” 11th AIAA/CEAS Conference, 2005-2995, 2005. Scholar[12] “An Efficient, Two-Dimensional Implementation Vibration, 229, 4, 2000, 897–911. https://doi.org/10.1006/jsvi.1999.2522 Scholar[13] Guo Y., “Application Williams/Hawkings Equation Problems,” 403, 201–221. https://doi.org/10.1017/S0022112099006989 Scholar[14] Zhou H. “Simplified Theoretical Applied Mechanics Letters, 2021, 100259. https://doi.org/10.1016/j.taml.2021.100259 Scholar Previous article FiguresReferencesRelatedDetailsCited byNumerical study hydrodynamic performance flow noise hydrofoil with wavy leading-edgeAIP Advances, 9 What's Popular Volume 59, 11November 2021 CrossmarkInformationCopyright © American Aeronautics Astronautics, Inc. All rights reserved. requests copying permission reprint should be submitted CCC www.copyright.com; employ eISSN 1533-385X initiate your request. See Rights Permissions www.aiaa.org/randp. TopicsAerodynamicsAeronautical EngineeringAeronauticsComputing InformaticsComputing, Information, CommunicationFlow RegimesFluid DynamicsSignal ProcessingVortex Dynamics KeywordsFrequency DomainFreestream VelocityGreen's FunctionVorticesConvective FlowComputingConvectionCompressive StressFlow VelocitySpecific HeatAcknowledgmentsThis work is supported National Nature Foundation China Basic Center Program “Multiscale Problems Mechanics” (no. 11988102), Natural (nos. 11922214, 91752118, 91952301), Numerical Windtunnel project. The authors would like acknowledge support from Strategic Priority (XDB22040104). computations are conducted Tianhe-1 Supercomputer Tianjin.PDF Received13 August 2020Accepted21 2021Published online30 July